Science & Global Security, Volume 9 pp 165-234© 2001 Taylor and Francis
0892-9882/01 $12.00 + .00

Acoustic Weapons - A
Prospective Assessment
Jürgen Altmanna
Acoustic weapons are under research and development in a few countries. Advertised
as one type of non-lethal weapon, they are said to immediately incapacitate opponents
while avoiding permanent physical damage. Reliable information on specifications oreffects is scarce, however. The present article sets out to provide basic information inseveral areas: effects of large-amplitude sound on humans, potential high-powersources, and propagation of strong sound.
Concerning the first area, it turns out that infrasound - prominent in journalistic
articles - does not have the alleged drastic effects on humans. At audio frequencies,
annoyance, discomfort and pain are the consequence of increasing sound pressure levels. Temporary worsening of hearing may turn into permanent hearing losses depending on level, frequency, duration etc.; at very high sound levels, even one or a few short
exposures can render a person partially or fully deaf. Ear protection, however, can bequite efficient in preventing these effects. Beyond hearing, some disturbance of theequilibrium, and intolerable sensations mainly in the chest can occur. Blast waves
from explosions with their much higher overpressure at close range can damage otherorgans, at first the lungs, with up to lethal consequences.
For strong sound sources, mainly sirens and whistles can be used. Powered, e.g., bycombustion engines, these can produce tens of kilowatts of acoustic power at low frequencies, and kilowatts at high frequencies. Using explosions, up to megawatt power
would be possible. For directed use the size of the sources needs to be on the order of 1
meter, and the required power supplies etc. have similar sizes.
Propagating strong sound to some distance is difficult, however. At low frequencies, diffraction provides spherical spreading of energy, preventing a directed beam. At
high frequencies, where a beam is possible, non-linear processes deform sound waves
to a shocked, saw-tooth form, with unusually high propagation losses if the sound pressure is as high as required for marked effects on humans. Achieving sound levels which

The original version of this manuscript was received by Science & Global Security on
2 June, 1998, in shortened and updated form in July, 1999.
a Experimentelle Physik, Universität Dortmund, Germany; Bochum Verification
Project, Institut für Experimentalphysik, Ruhr-Universität Bochum, Germany. This
study was begun during a one-month research stay at the Peace Studies Program ofCornell University, Ithaca NY, U.S., funded by a grant from the John D. and Catherine
T. MacArthur Foundation. It was finished at Dortmund University with funds from
the Ministry of Science and Research of the State of Nordrhein-Westfalen, Germany.

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Altmannwould produce aural pain, equilibrium problems, or other profound effects seems
unachievable at ranges above about 50 m for meter-size sources. Inside buildings, thesituation is different, especially if resonances can be exploited.
Acoustic weapons would have much less drastic consequences than the recently
banned blinding laser weapons. On the other hand, there is a greater potential of indiscriminate effects due to beam spreading. Because in many situations acoustic weapons
would not offer radically improved options for military or police, in particular if opponents use ear protection, there may be a chance for preventive limits. Since acoustic
weapons could come in many forms for different applications, and because blast weapons are widely used, such limits would have to be graduated and detailed.

INTRODUCTION1
Acoustic Weapons as Part of “Non-lethal” Weapons
Since the early 1990s there has been an increasing interest - mainly in the
U.S. - in so-called non-lethal weapons (NLW) which are intended to disable
equipment or personnel while avoiding or minimizing permanent and severe
damage to humans. NLW are thought to provide new, additional options toapply military force under post-Cold War conditions, but they may also be
used in a police context.2 Whereas some foresee a military revolution and “warwithout death,”3 most others predict or prescribe that NLW would just augment lethal weapons, arguing that in actual war both types would be used insequence or in parallel.4 However, there may be situations other than war
when having more options of applying force below the threshold of killing
could help to prevent or reduce deaths, e.g., in a police context (riots, hostagetaking) or in peace-keeping operations. A range of diverse technologies has
been mentioned, among them lasers for blinding, high-power microwave
pulses, caustic chemicals, microbes, glues, lubricants, and computer viruses.
Whereas at present it is mainly the U.S. that push research and development of these technologies,5 a new qualitative arms race in several areas
could ensue if they were deployed. There is also a danger of proliferation,
which may “backfire” if such new weapons are used by opponents or terrorists.6 Some concepts would flatly violate existing disarmament treaties, e.g.,using microbes as anti-matériel weapons.7 Others could endanger or violate
norms of the international humanitarian law.8 Thus, there are good reasons totake critical looks at NLW before agreeing to their development and deployment.
Such critical analyses have to consider scientific-technical, military-operational, and political aspects. To some extent, the latter two aspects depend on
the first one. Well-founded analyses of the working of NLW, the transport/

Acoustic Weapons - A Prospective Assessment

propagation to a target, and the effects they would produce, are urgently
required. This holds all the more, as the published sources are remarkably
silent on scientific-technical detail. Military authorities or contractors
involved in NLW research and development do not provide technical information.9 There are also certain dangers that – absent reliable information –poorly founded views and promises by NLW proponents get more politicalweight than warranted, or that decisions are being made based on a narrowmilitary viewpoint.
As one general example of such promises note the statement:10 “The scientists involved in the development of these (NLW, J.A.) technologies know nolimits, except funding and support. If they worked at it, they could eventually
make it do whatever they needed it to do,” a claim that neglects to take into
account first, the laws of nature and second, the possibility of countermeasures by opponents.
Since NLW comprise many very different technologies, an in-depth analysis is needed for each type of weapon.11 The present article presents an analysis of acoustic weapons, with an emphasis on low-frequency sound. Suchweapons have been said to cause, on the one hand, disorientation, nausea, andpain without lasting effects. On the other hand, the possibility of seriousorgan damage and even death has been mentioned – thus the “non-lethal”
label does not hold for all possible types and uses. Table 1 lists a few allegations concerning acoustic weapons. Because many of these are based on hearsay and not on publicly documented cases, they cannot be taken as reliable
information, but rather as indicators of directions where independent analysis
is needed.

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Table 1: Selected examples of alleged properties, effects, and targets of acoustic
weapons from the available literature; not often are sources given. Note that there
are some inconsistencies, as, e.g., whether high or very low frequencies are used in“acoustic bullets” (refs. 18-21). In some cases one cannot avoid the impression thatthe respective author/s misunderstood something or mixed things up, as, e.g., withthe plasma created by an acoustic bullet or with equalling non-diffracting with
non-penetrating (ref. 18). 12 ARDEC: U.S. Army Armament Research, Development
and Engineering Center, Picatinny Arsenal NJ, U.S., LANL: Los Alamos National
Laboratory, Los Alamos NM, U.S., SARA: Scientific Applications and Research,
Huntington Beach CA, U.S.

Sound Sourrce

Effects

Targets

Ref.

InfrasoundMay affect labyrinths,
vertigo, imbalance,
etc.; resonances in
inner organs, e.g.,
heart, with effects up to
death

Riot control(British use in
Northern Ireland)

13

Infrasound from
non-linear superposition of two
ultrasound beams (tested in GreatBritain)

Intolerable sensations

Riot control

14

Infrasound15
Incapacitation,
Crowd/riot condisorientation, nausea,
trol, psychologicalvomiting, bowel spasms; operations
effect ceases when generator is turned off, no lingering physical damage

Very low frequency noise

Disorientation, vomiting
fits, bowel spasms,
uncontrollable
defecation

Infrasound - tuned low
frequency, high intensity

Anti-personnel:
resonances in body cavities causing disturbancesin organs, visual blurring,nausea - temporary
discomfort to death.
Anti-material:
embrittlement or fatigue
of metals, thermal damage or delamination ofcomposites; against
buildings: shattering of
windows, localized
earthquakes

Enemy troops

16

17Acoustic Weapons - A Prospective Assessment
Sound Sourrce

Effects

Targets

Infrasound from banks of verylarge speakers and high-power
amplifiers not yet existing,requiring new cooling design andnew materials

Discomfort, disorientation, nausea, vomiting

18
Hostage rescue,
crowd/riot control,
psychologicaloperations

High-power, very low frequency
acoustic beam weapon, being
developed in conjunction with
SARA, by ARDEC and LANL;
phased-array setup allows smallersize, about 1 m3 (on small vehicle);
smaller later in the future

Discomfort like standing
near large air horn(certain frequencies
and intensities)

Protect U.S.
overseas facilities(e.g., embassies),
riot control

19

Offensive
capability
againstpersonnel inbunkers orvehicles20

Very low frequency acoustic bullet,
emitted from antenna dishes, being
investigated at ARDEC

Ref.

High-power, very low frequency
Incremental effects fromacoustic bullets from 1-2 m antenna discomfort to death
dish

21

High-frequency, non-diffracting
Blunt-object trauma(i.e., non-penetrating) acoustic bullet creates plasma in front of target

19

Baseball-sized acoustic pulse,
about 10 Hz, over hundreds ofmeters, developed in Russia

22

Selectable from nonlethal to lethal levels"Deference tone" at intersection of
two otherwise inaudible beams,
developed in Russia

22

Some Historic Aspects of Acoustic Weapons
Whereas low-frequency sound was often used passively by armed forces todetect and locate artillery, nothing is known about actual weapon use by the
military. Two infrasound review articles mention that there are indications
that Great Britain and Japan had investigated this possibility, and then demonstrate that for lethal use over some distance unrealistically high source
powers would be required.23
With respect to non-lethal use of low-frequency sound, already a 1969
book on riot control mentioned that the theory of using sound as a weapon had
been discussed in many scientific articles (which, however, the present author
cannot confirm), that super- and subsonic sound machines had been tested forriot control, and that these machines had generally turned out to be too costly,

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too cumbersome and too unfocused.24 The only sound device discussed in somedetail, the “Curdler” or “People Repeller” was said to emit shrieking, pulsating
sound that, amplified by a 350-W amplifier, produced 120 dB at 10 m distance.25
In 1971 a short survey from the British Royal Military College of Science
mentioned reducing resistance to interrogation, inducing stress in an enemy
force, creating an infrasonic sound barrier and rapid demolition of enemy
structures.26 Somewhat later, the journal New Scientist - in the context ofreporting on weapons used by the British Army against protesters in Northern Ireland - wrote about successful tests of the “squawk box,” a device said toemit two near-ultrasound frequencies (e.g., at 16.000 and 16.002 kHz) which
would then combine in the ear to form a beat frequency of, e.g., 2 Hz, said to be
intolerable.27 The Ministry of Defence denied the existence of the device.28 A
later book assumed that it had never been fully developed.29 (For a discussionof this possibility, see 5.1.2 below).
At the same period, there was a series of articles stating marked effects ofinfrasound such as dizziness and nausea at levels between 95 and 115 dB
which other experimenters, however, could not confirm.30
U.S. forces used loud music to force M. Noriega out of his refuge in Panama in 1989.31 Since such sound applications work rather by annoying thanby physical damage, they will not be further discussed here.

Actual Developments
The US Army Armament Research, Development and Engineering Center(ARDEC) at the Picatinny Arsenal, New Jersey, is responsible for the Armyeffort in the Low Collateral Damage Munitions programme.32 One project in
low-frequency acoustics is a piston- or explosive-driven pulser forcing air into
tubes to produce a high-power beam, to be applied against small enclosed volumes; another deals with the possibility of projecting a non-diffracting acoustic “bullet” from a 1-2 m antenna dish using high-frequency sound. Both were
to be done by Scientific Applications and Research Associates (SARA) of Huntington Beach, California.33 Similar projects seem to be underway in Russia:
in a Center for the Testing of Devices with Non-Lethal Effects on Humans in
Moscow, long-time U.S. NLW proponents J. and C. Morris were reportedly
shown a device propelling a baseball-sized acoustic pulse of about 10 Hz overhundreds of meters, scalable up to lethal levels. Another principle was a “defference” (probably difference) tone produced at the intersection of two otherwise inaudible beams.34 (For a discussion of acoustic bullets and generation of
audible or infrasound from two ultrasound fields, see 5.1.3 and 5.1.2 below).

Acoustic Weapons - A Prospective Assessment

As with the U.S. projects, reliable public information is not available.
The most specific information available at present seems to be containedin the first few pages of a SARA report of 1996,as reported in a recent overview article:35♦

With respect to effects on humans, some of the allegations are: Infrasoundat 110-130 dB would cause intestinal pain and severe nausea. Extreme
levels of annoyance or distraction would result from minutes of exposure
to levels 90 to 120 dB at low frequencies (5 to 200 Hz), strong physicaltrauma and damage to tissues at 140-150 dB, and instantaneous blastwave type trauma at above 170 dB (for an explanation of the level unit
decibel see below). At low frequencies, resonances in the body would cause
hemorrhage and spasms; in the mid-audio range (0.5-2.5 kHz) resonancesin the air cavities of the body would cause nerve irritation, tissue trauma
and heating; high audio and ultrasound frequencies (5 to 30 kHz) would
cause heating up to lethal body temperatures, tissue burns, and dehydration; and at high(er?) frequencies or with short pulses bubbles would form
from cavitation and micro-lesions in tissue would evolve.

♦

Under development are a non-lethal acoustic weapon for helicopter
deployment (tunable 100 Hz to 10 kHz, range above 2 km, goal 10 km), a
combustion-driven siren on a vehicle (multi-kilowatt power, infrasound),and an acoustic beam weapon for area denial for facilities housing weapons of mass destruction using a thermo-acoustic resonator, working at 20340 Hz.

♦

Using combustion of chemical fuel, scaling up to megawatt average power
levels would be possible, with fuel tank storage capability - at fixed sites for a month or more.

♦

Acoustic weapons would be used for US embassies under siege, for crowd
control, for barriers at perimeters or borders, for area denial or area
attack, to incapacitate soldiers or workers.

It should be noted that several of the claims about effects do not standcritical appraisal, in particular for the infrasound and audio regions.36 The
same holds for a range of kilometers.37 It seems that SARA have taken earlier
allegations at face value without checking their correctness.38
In Germany, Daimler-Benz Aerospace (DASA), Munich, has done a
detailed study of all kinds of non-lethal weapons for the Ministry of Defence in
1995. Whereas most of the descriptions of technologies and effects are sound,the section on acoustic weapons contains errors.39 Recently, the German

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Fraunhofer Institute for Chemical Technology was tasked to develop a prototype and test the deterring effect of strong sound.40

Goals of This Article
To my knowledge, acoustic weapons have not been the subject of detailed public scientific analysis. They were discussed in a section of a 1978 book and a1994 conference contribution, both motivated by humanitarian-law concerns;
these, however, are rather short and non-quantitative.41 A recent article is significantly more comprehensive, but relies heavily on general statements froma firm engaged in developing acoustic weapons, the defence press, and military research and development institutions. The author calls for a “much moresophisticated and fuller understanding of the damage caused by high power
acoustic beams” and asks the humanitarian-law community to involve itself in
the assessment and debate.42
The present article is intended to contribute to that goal by presenting
more, and more reliable, information, so that serious analysis of military-operational, humanitarian, disarmament, or other political aspects need not rely
on incomplete or even obscure sources.43
This study is based on the open literature and my own theoretical analysis, without access to scientific-technical data gained in acoustic-weapons
research and development and without original experiments. Something may
have been overlooked; at some points speculation is unavoidable; and somequestions will remain open, hopefully to be answered by future work.
The questions to be answered are the following:♦

What are the effects of strong, in particular low-frequency, sound on
humans?

♦Is there a danger of permanent damage?

♦

What would be the properties of the sound sources (above all, size, mass,
power requirement)?

♦

How, and how far, does strong sound propagate?

♦

Can we draw conclusions on the practical use by police or military?

The following subsection gives a few general remarks on acoustics. The
major sections deal with effects of strong sound on humans, production ofstrong sound, protective measures, and therapy. Finally, preliminary conclusions are given. The appendix mentions, first, some properties of pressureAcoustic Weapons - A Prospective Assessment

waves in air. Second, allegations concerning acoustic weapons made in journalistic articles are analyzed.

General Remarks on Acoustics
In a broad sense, any variation of air pressure in time constitutes sound. For asinusoidal time course, the number of repetitions per time unit is called thefrequency, measured in Hertz = 1/second. Usually, the frequency region below
20 Hz is called infrasound, but this is not an absolute hearing limit - soundswith lower frequencies can be heard and otherwise perceived if the pressure ishigh enough. To prevent misunderstanding with the term “audible,” in thisarticle the range from 20 Hz to 20 kHz will be called “audio.” The hearing,
pain, and damage thresholds decrease with increasing frequency between afew Hz and 20-250 Hz (see figure 2 below); thus low-frequency effects will bemuch stronger at low audio frequencies than with infrasound proper. Therefore, despite the emphasis on infrasound in the journalistic articles, here therange from 1 to 250 Hz is denoted by “low frequency” and treated in common.
For frequencies above 20 kHz, the usual term “ultrasound” will be used.
Pressure variations mean deviations from the average air pressure towardhigher and lower values, denoted by over- and underpressure. Usually these
deviations are much smaller than the air pressure; they are called sound pressure. Because sound pressure and intensity vary over many orders of magnitude, and because the human loudness sensation is approximately
logarithmic, these physical quantities are often given as levels L in a logarithmic scale, in decibel units, whereL p = 20 log ( p rms ⁄ p ref )dBand

L I = 10 log ( I rms ⁄ I ref )dB(1)

p rms and I rms are the respective root-mean-square values of sound pressure(deviation from static air pressure, measured in Pascal) and sound intensity(acoustic power per area, proportional to sound pressure squared, measured
in Watt/square meter). A ten-fold increase in pressure means a hundred-foldincrease in intensity and an increment of 20 dB in level. For the reference values, in acoustics usually
P ref = 20µPa

andI ref = 10

– 12

W⁄m

2

(2)

are chosen. These values are about the human hearing threshold at 1 kHz,
close to the frequency of highest sensitivity; thus with equation (A-2) and an
acoustic air impedance of ρ0c0~ 400 kg/(m2s) under normal conditions both

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Altmannlevels, for pressure and intensity, are equal.44 Levels will usually refer tothese values in this article; frequency-weighted level scales incorporating
human sensitivity, such as the dB(A), when used, will be denoted as such.
The most important properties of pressure waves in air are mentioned inappendix 1. For sound pressures which are not extremely strong - below
maybe 100 Pa (level 134 dB), 0.1 % of normal pressure -, the effects can be
described by linear equations. The sound speed is constant, and the superposition principle holds as, e.g., in optics (linear acoustics). At higher values, but
still below atmospheric pressure, the increase of propagation speed with pressure becomes important, and waves become steeper as they propagate, but theunderpressure is about the same as the overpressure and the propagation
speed remains the same as with small amplitudes (non-linear acoustics, weakshock formation). Such non-linear effects would be important in the conversion of frequencies that has been alleged to take place with acoustic weapons.
If the overpressure is larger than the pressure at rest, as, e.g., with blast
waves from explosions, the shock speed becomes much faster, and the underpressure can no longer be of equal amplitude (strong shock). It seems problematic to count a blast-wave weapon as an “acoustic” one, otherwise many typesof explosive shells, bombs, or fuel-air explosives would come under the sameheading.45 However, for the sake of completeness, because of a smooth transition from one to the other, and because blast waves have been mentioned inthis context,46 strong shock is included into the present considerations.

Effects of Strong Sound on Humans 47
Strong sound can temporarily or permanently reduce the hearing ability andaffect the vestibular organ. At extreme levels, physical damage to organs of
the ear can occur even with short exposure. At even higher levels, occurring
practically only in overpressure pulses from explosions, other organs are
injured, with the lung as the most sensitive one.
In this section, a few general properties of the ear and damage to it aredescribed first. In the following parts, special emphasis is put on low frequencies because their effects are less known than in the audio region, and because
they are mentioned in many publications on acoustic weapons. High-frequency audio sound and ultrasound are covered rather briefly. A special subsection treats shock waves, e.g., from explosive blasts.
Table 9 at the end of this section gives a simplified summary of the various
effects in the different frequency ranges.

Acoustic Weapons - A Prospective Assessment

General Remarks on the Ear 48
Hearing and Hearing Damage
In the human ear (figure 1), sound waves entering the ear canal set the eardrum into vibration. This motion is coupled by the three middle-ear ossicles tothe oval window at the beginning of the labyrinth. The resulting pressure
wave travelling in the cochlear perilymph bends the basilar membrane which
separates the cochlea longitudinally into the scala vestibuli and the scala tympani; these two canals are connected at the cochlea tip, and the latter one
leads back to the round window at the middle ear. The basilar membrane carries the organ of Corti the hair cells of which sense the deformation and relay
this information via ganglion cells to the brain. The Eustachian tube connects
the middle ear and the nasal cavity. Linked to the cochlea are the cavities andthree semicircular canals of the vestibular organ which senses head motion
and helps maintaining equilibrium.
The middle ear contains mechanisms that can reduce the amount of vibration coupled to the inner ear, thus defining the limits of hearing and reducing
damage from strong sound. At very low frequencies, the Eustachian tube canprovide pressure equalization. The aural reflex, which contracts muscles (m.
tensor tympani and m. stapedius) in the middle ear about 0.2 s after the onsetof strong noise, weakens the transmission of the ossicles. Due to the mechanical properties of the ossicles, frequencies above about 20 kHz are not transmitted.
After exposure to strong sound the auditory system usually becomes lesssensitive; in other words the threshold of hearing is shifted to higher levels.
Recovery is possible if the exposure is below frequency-dependent limits ofsound level and duration, and if the following rest period is sufficient. This iscalled temporary threshold shift (TTS) and is usually measured 2 minutes
after the noise ended. Up to TTS levels of about 40 dB, recovery is smooth andmostly finished within 16 hours. Beyond certain limits, recovery is incomplete
and permanent threshold shifts (PTS), i.e., permanent hearing losses, remain.
Because this so-called “noise-induced hearing damage” is somehow cumulative, exposure criteria have to include the duration and recovery time beside
spectral composition and level.50
Whereas TTS can be studied with humans in experiments, for PTS one
has to rely on people injured by accident, occupational noise or the like. The
other method is to do animal experiments - the results of which of course can-

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Figure 1: The human ear consists of three parts: external, middle, and inner ear. Sound
waves reflected by the pinna and travelling in the auditory canal produce vibration of theeardrum (tympanic membrane). The three middle-ear ossicles (malleus, incus, and stapes)
transfer this motion - increasing the pressure - to the oval window at the entrance of the labyrinth and to the perilymph inside. The resulting pressure wave travels into the cochlea,
bending the basilar membrane which separates the cochlea longitudinally and carries thesensory hair cells. Their excitation is relayed to the brain by the acoustic nerve. Pressure
equalization of the middle ear is possible via the Eustachian tube. The middle-ear muscles(not shown) can reduce the transmission of the ossicular chain. The second part of the labyrinth is the vestibular organ with its cavities and semicircular channels for sensing motion.
(Modified from ref. 49, used by permission of authors and publisher; original copyright:
Springer-Verlag).

not directly be applied to humans. As animal species for model systems, often
chinchillas, guinea pigs, or cats are selected, thought to be more sensitive thanhumans; but also dogs, monkeys, and for blast waves sheep have been used.
Which noises will produce more PTS (for higher level and/or longer duration) can be predicted on the basis of the TTS. There are complicated schemes
to quantitatively estimate PTS from noise via expected TTS, reasoning that
the PTS after 20 years of near-daily exposure is about the same as the TTS
after 8 hours. PTS is thought to be produced by mechanical and metabolic processes damaging the sensory hair cells on the basilar membrane of theAcoustic Weapons - A Prospective Assessment

cochlea. PTS – as well as TTS – is relatively variable between subjects. Usually, it develops first and strongest at 4 kHz, then spreading to lower andhigher frequencies, relatively independent of the noise spectrum at the workplace. There is a considerable amount of literature on all aspects of hearing
damage, such as measuring and documenting it, understanding the physiological mechanisms, estimating the risks quantitatively, recommending limits forpreventive measures, considering acceptable damage, and percentages of people affected. Most concerns are on cumulative effects of many years of exposure as, e.g., in the workplace, where PTS has been found at levels below 80
dB(A), but usually it is the range from 80 to 105 dB(A) that matters. There is,however, also injury produced by one or a few short-term exposures to strong
sound - this often comes under the name “acoustic trauma.”51 Its inner-ear
effects range from some disarray of the hairs of the hair cells to complete
destruction of the organ of Corti. Secondarily, ganglion cells and nerve fibres
may degenerate.
Figure 2 shows the human hearing threshold and curves of equal perceived loudness from very low to high frequencies.52 As can be seen, perceived
loudness, measured in phones, increases about logarithmically with soundpressure at each frequency. Also drawn are thresholds for damage effects tothe auditory system which are important for judging acoustic weapons:♦Thresholds of hearing hazard – above the first one there is a danger of permanent hearing loss under certain conditions – noise level, duration, number and schedule of exposures, variables of the individual. Close to thethreshold, the duration may amount to several hours of daily exposure
over many years. Above the second threshold, at 120 dB where discomfort
begins, there is a high risk of hearing loss even for short and few exposures (except impulse sounds).

♦

Aural pain – this occurs above about 140 dB (200 Pa) throughout the audio
region. However, in the infrasound range the threshold increases with falling frequencies to 160 and 170 dB (2 and 6 kPa). For static pressure, pain
occurs above about 173 dB (9 kPa) of underpressure and about 177 dB (14kPa) of overpressure. Pain is thought to occur when the mechanical limitsof the middle-ear system are transcended, and it is not directly connected
to sensitivity or hearing damage: damage can occur without pain and viceversa. However, under normal conditions exposure should be stopped
when pain is felt.

♦

Eardrum rupture – the threshold is at about 160 dB (2 kPa) in the audio
region. For a step to a static overpressure the threshold is at 186-188 dB

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Figure 2: Threshold of hearing (corresponding to 0 phone), curves of equal perceived
loudness for 20, 40, 60, 80, 100, and 120 phones, rms sound pressure (logarithmic scale)and its level versus frequency. The threshold values are for binaural hearing of pure tones;monaural perception thresholds are higher. Also given are the thresholds of conditional(CR) and high (HR) risk of permanent hearing loss (dashed), of aural pain and of eardrum
rupture. The high-risk threshold is also valid for the feeling of discomfort; the threshold fortickle sensation is slightly below the one for pain. Especially for eardrum rupture, thethreshold is only roughly known. On the left, pain and eardrum rupture thresholds areshown for static pressure. For pain, the values for over- (pos.) and underpressure (neg.) areslightly different. Note that normal atmospheric pressure is 101 kPa.53(42- 55 kPa peak). Even though membrane ruptures usually heal, damage
to the middle and inner ear may remain. However, rupture serves as akind of fuse, reducing the pressure transmitted to the inner ear, and thus
the potentially permanent inner-ear damage.
Vestibular System
The vestibular system of the inner ear contains cavities (utricle and saccule)with sensors for linear accelerations and three semicircular channels for sensing angular accelerations. The vestibular system causes – via several, mostly

Acoustic Weapons - A Prospective Assessment

sub-conscious channels in the central nervous system – eye movements andpostural changes, and provides perception of motion and orientation. The vestibular system is one of the sensor modalities responsible for motion sickness(the other two, the visual and somatosensory systems, are less relevant in thepresent context).
The liquids (endolymph and perilymph) in the vestibular organs are connected to those in the spiral cochlea. Thus, acoustic stimulation of the balance
organs is possible in principle, and this would be the mechanism for the
alleged production of vertigo and nausea by infrasound. Effects and thresholds observed with humans and animals are discussed below for the different
frequency ranges.

Effects of Low-Frequency Sound
In the 1960s and 1970s there was a wave of ascribing exaggerated effects toinfrasound, not only in the general press.54 Much of this was anecdotal. In
some cases, effects observed in one laboratory could not be reproduced inanother. One reason may be production of harmonics in test systems.
Hearing Threshold and Loudness Perception at Low Frequencies
Hearing does not abruptly stop below 20 Hz. As careful measurements haveshown, with high enough sound pressure the ear can register infrasound down
to about 1 Hz. However, below about 50 Hz the hearing threshold increases
steeply with falling frequency, as evident in figure 2.55 At lower frequencies,
the equal-loudness curves lie much closer; this means that loudness perception increases much faster with sound pressure level than at higher frequencies. Also the pain threshold is closer to the hearing threshold at low
frequencies.
High-Intensity Effects of Low-Frequency Sound on Ear and Hearing
The human auditory system seems to be relatively tolerant of low-frequency
exposure, especially with infrasound where even at very high levels only some
TTS and no PTS occurs (table 2). Infrasound even reduces TTS from high-frequency noise because (quasi-)static loading of the middle ear reduces its transmission to the inner ear. It is likely that PTS observed, e.g., in people exposed
to low-frequency noise at the workplace is mainly due to higher frequencies
also present.

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Table 2: Auditory effects of low frequency sound in humans. Note that chinchillas,much more sensitive in the audible range, showed clear middle and inner ear
damage after exposures to frequencies between 1 and 30 Hz at levels 150-172 dB.
Frequency /Hz

Level / dB

Duration

Effect<1 - 20125-171

minutesoften TTS at audio frequencies, recovery within 1/2 hr

3 or 231301h

no TTS

Low audible

90

many
hours

TTS, recovery after up to 2
days

≤ 40

140-150

0.5-2 minno PTSInfrasound part (c. 5 Hz)

165 peak

0.4 s

no TTS

High-frequency part(0.5-1 kHz)153 rms

0.4 s

TTS 5-8 dB at 1.5-12 kHz

Both parts togetherc. 170 peak

0.4 s

TTS 2-3 dB at 1.5-12 kHz

Sonic boom
(mainly 2-20 Hz)

162-171 peakseconds

no PTS

Simulated airbag
inflation:

Of course, threshold shifts are not immediately felt by the individual and arethus irrelevant as weapons effects, at least as far as the weapon designers andusers are concerned. More relevant will be a pressure sensation, which develops at about 130 dB, independent of frequency. Even more impressive will be
pain in the ear which sets in between 135 and 162 dB depending on frequency,
see figure 2. The human eardrum ruptures above 42-55 kPa static pressurechange (186-189 dB). Since for audio frequencies, the threshold is assumed to
be well over 160 dB (2 kPa), infrasound should lie somewhere in between.57
High-Intensity Effects of Low-Frequency Sound on the Vestibular System
Vestibular excitation can be measured by reflexively produced eye movements(nystagmus) or, with humans, by performance in balancing tests. Neither inanimals nor in humans were effects observed from infrasound at 130 to 172
dB. Thus, the vertigo and nausea effects in the journalistic articles ascribed toAcoustic Weapons - A Prospective Assessment

intense infrasound cannot be confirmed. On the other hand, low audio frequencies of 50-100 Hz at 150 to 155 dB caused mild nausea and giddiness.
High-Intensity Effects of Low-Frequency Sound on the Respiratory Organs
Strong infrasound of 0.5 Hz can act like artificial respiration. Exposure tosonic booms (main energy in the infrasound region) between 154 dB (1.0 kPa)and 171 dB (6.9 kPa peak) did not lead to adverse effects on the human respiratory system.
In the low audio frequency region below 50 Hz, exposure to levels up to
150 dB (0.63 kPa) caused chest-wall vibration and some respiratory-rhythm
changes in human subjects, together with sensations of hypopharyngeal fullness (gagging); these effects were felt as unpleasant, but clearly tolerable.
Between 50 and 100 Hz, however, subjective tolerance was reached and exposure discontinued at 150 to 155 dB (0.63 to 1.1 kPa); respiration-related
effects included subcostal discomfort, coughing, severe substernal pressure,choking respiration, and hypopharyngeal discomfort.58
Other High-Intensity Effects of Low-Frequency Sound
Several other effects were observed during exposure to intense low-frequency(30 to 100 Hz) sound at levels around 150 dB. Among these were increased
pulse rates, cutaneous flushing, salivation and pain on swallowing. The visual
field vibrated and acuity was reduced. Subjects showed marked fatigue after
exposure. On the other hand, brief infrasound had no effect on visual acuity,
motor tasks and speech production.
Vibration Considerations
It is sometimes maintained that infrasound sets organs in motion similarly to
external vibration applied to the body. Whereas there are similarities, there
are also important differences.
For vertical vibratory excitation of a standing or sitting human body,
below 2 Hz the body moves as a whole. Above, amplification by resonances
occurs with frequencies depending on body parts, individuals, and posture. A
main resonance is at about 5 Hz where greatest discomfort is caused; the reason is in-phase movement of all organs in the abdominal cavity with consequent variation of the lung volume and chest wall.59
Conditions are different when slow air pressure variations impinge on thehuman body. At low frequencies where the body dimensions are smaller than
the wavelength, e.g., above 2 m for frequencies below 170 Hz, the same
momentary pressure applies everywhere, and the tissue behaves as a viscoelastic fluid with much lower compressibility than air.60 This produces some

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the lungs, where the chest wall or the abdomen can move more easily if external pressure/force is applied. Because the external pressure simultaneously
produces air flow through the trachea into and out of the lungs, the inner pressure counteracts the chest wall and abdomen movements. The system acts
much more stiffly than with unidirectional vibratory excitation, and the resonance (with the highest velocities per sound pressure and thus highest tissue
strains) is at 40 to 60 Hz instead of one tenth of that value.

Effects of High-Intensity High-Frequency Audio Sound
Effects on Ear and Hearing
PTS is mainly seen and studied with occupational exposure over a decade andmore, from weighted levels of below 80 dB(A) to usually less than 120 dB(A).
The sensitivity to TTS and PTS follows roughly the loudness contours. In thepresent context, however, the questions relate to short exposures at potentially higher levels.
Concerning the danger of permanent damage from a single or few exposures (acoustic trauma), there are understandably not many experimental
studies with humans. In order to estimate expected effects one can evaluate
related TTS experiments, use damage criteria gained from the parallelism
between TTS and PTS, and draw cautious conclusions from animal experiments. Table 3 shows that short exposures at high levels need not produce
PTS in humans. Table 4 shows the results of PTS experiments on animals.

Acoustic Weapons - A Prospective Assessment

Table 3: Auditory effects of high-frequency audio sound on humans. At higher
audio frequencies, humans are much less susceptible than around 1 kHz.
Frequency/ kHz

Level / dB

Duration

TTS

0.1, 1, 2, 4

110, 120, 130

1 - 64 min strongest at
no4 kHz, much evidence
less at 1
and 2 kHz,even less at
0.5 kHz;
recoveryfrom 60 dB
TTS in up to
5 days0.25 - 5.6

up to > 140

manyseconds

Broadband noise(0.5-1 kHz, simulated airbag
inflation)

153 rms

0.4 s

Jet afterburner
noise

> 140

seconds at
a time9 - 15140 - 156

5 min

TTS 4-8 dB
at 1.5-12
kHz, vanished after
minutes

PTS

Remarks

obviouslynone

testing for tickle
and painthresholds

noneyoung,
healthy menno consisflight-deck/
tent PTS
airfield groundafter sevpersonnel
eral months
TTS at exposure frequencies
and half of
those, fast
recovery

none

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Table 4: PTS and physiological damage produced by high-frequency audio soundin animals. With the cat experiments, at all frequencies a 10-dB increase marked
the transition from minimal to severe destruction in the cochlea.
AnimalFrequency / kHz Level / dB

Chinchilla
Guinea pig

CatDuration

PTS

Physiologicaldamage~ 120~1hdamage tohair cells, etc.

135-140few minutes

severe haircell injury>40

few minutes

organ of Corti
destroyed at
respective
most affected
site

150

4h

none

153-158

4h

partially/
fully deaf

120

1h

none

130

1h

55 dB at
2kHz

140

1h

deaf
at allfrequencies

2.0

140

1h

deaf at≥ 2 kHz

4.0

135

1h

none

140

1h

60 dB at 4kHz

0.19 -8.0

0.125

1.0

hair cell losses
in generalparalell tofunctional
deficiencies

Acoustic trauma for short exposures occurs above some critical combination of level and duration which corresponds to a kind of “elastic limit” of theorgan of Corti. In chinchilla and guinea pig experiments extensive damage
was about the same if the duration times the intensity squared was constant,i.e., for each 5 dB level increase the duration has to be divided by 10. Assuming the same law to hold for humans, and taking the critical value separatingsome hearing loss from acoustic trauma from guinea pigs which are closer tothe human sensitivity, e.g., 7 minutes of 135 dB, one would arrive at alternative combinations of 40 s exposure to 140 dB, 4 seconds to 145 dB, and 0.4 seconds to 150 dB.61 Thus it seems advisable to assume that a singular exposure
at the pain threshold in the audio range (140 dB) will become dangerous, i.e.,Acoustic Weapons - A Prospective Assessment

produce marked PTS in the majority of the people affected, after about half aminute, and above that at progressively shorter intervals.
Eardrum rupture at high audio frequencies is expected above a thresholdof over 160 dB (2 kPa).62
Non-Auditory Effects of High-Intensity High-Frequency Audio Sound
Vestibular responses in humans are elicited by audio sound above about 125
dB. At levels about 140 dB near jet engines, an equilibrium disturbance wasfelt at critical rotation rates. Though these authors quote several oral communications about similar effects and though they themselves have been quoted
often, it seems that the conditions and causes have not been analyzed thoroughly.63 High-level effects in animals range from eye movements to severe
lesions in the vestibular organs. With high-frequency audio sound, no adverse
effects on respiration are to be expected, since the pressure changes occur
much too fast for significant motion of either body walls and organs, or the air
in the trachea. However, resonances in the opened mouth, the nasal cavities orsinuses may produce a sense of touch or tickling above 120 dB.
At levels of 160 dB and higher, heating becomes relevant. Whereas absorption is small on naked skin due to the impedance mismatch, it becomes strong
wherever strong friction impedes the air movement, as in textiles, hair, fur, or
narrow ducts. Since levels above 140 dB in the high-frequency audio region
are extremely rare, and people in the workplace need to be protected becauseof their ears in the first place, it seems that auditory as well as non-auditory
injury due to such noise has practically not been described.64

Effects of High-Intensity UltrasoundAround 1950, there was increased talk and fear of “ultrasonic sickness” connected with symptoms of headache, nausea, fatigue etc. experienced by personnel working in the vicinity of the newly-introduced jet aircraft. Later,
similar complaints came from people working with washers and other ultrasound equipment in industry. It seems, however, that these effects were rather
caused by high- and sometimes low-frequency audio noise simultaneously
present.
Auditory Effects of Strong UltrasoundThe upper threshold of hearing varies between subjects and decreases withage. Whereas using bone conduction aural effects can be elicited, airborne
ultrasound (above 20 kHz) cannot be heard by nearly all people and does not

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Altmannhave a marked effect on the human ear. When subjects were exposed to thehigh audio frequency of 17 kHz and ultrasound ones of 21 to 37 kHz at levels
as high as 148 to 154 dB, there was some TTS at the first sub-harmonics (halffrequency) and, for the higher two excitation frequencies, also at the second
ones. These shifts vanished rapidly and no PTS remained.
Considering the non-linear production of sub-harmonics observed in electrophysiological recordings from guinea pigs and chinchillas, an extension ofdamage-risk criteria to the ultrasound region was proposed with a limit of 110
dB.
Non-Auditory Effects of Strong UltrasoundIn an analysis of ultrasonic washers and drills, in the vicinity of which workers had experienced fatigue, headaches, tinnitus, and nausea, it turned outthat there were considerable levels at audible frequencies as well which wereidentified as the probable causes. No vestibular effects were reported with the
TTS tests at up to 154 dB. Respiratory effects are again not to be expected
because of the fast pressure changes.
At extreme levels, close to a siren of maximum 160-165 dB, tickling inmouth and nose was observed with ultrasound as with high-frequency audio
sound. For such levels, as with high audio frequencies, heating will occur
mostly in narrow passages and other places of high friction.65 Above, heating
will be felt at naked skin as well.

Impulse-Noise and Blast-Wave Effects
Impulse noise occurs with shooting or in industry, see table 5. Here it is particularly noteworthy that overpressures produced by toy weapons or firecrackers
are in the same range as those of real rifles or those experienced by artillery
gun crews. The durations and thus pulse energies may differ, though.
In explosions, overpressures can reach many times the normal atmospheric pressure. The pressure time course is usually that of a strong-shock
wave, i.e., a fast increase and then a slower, more or less linear decrease via anegative phase to ambient pressure. However, whenever there are walls,
reverberations will occur, increasing the duration and energy to which the ear
is exposed.

Acoustic Weapons - A Prospective Assessment

Table 5: Peak pressure values of several sources of impulse noise, measured at(potential) ear positions (of worker, marksman or gun crew). Note that normal
atmospheric pressure is 101 kPa.
SourcePeak overpressure / kPa

Peak level/ dB

Drop forge

0.11

135

Shooting bolts into walls, 80
cm

0.63

150

8 toy pistol types, 50 cm

0.63-2.0

150-160

3 toy paper-cap gun types, 30 0.89cm

153

8 firecracker types, 3 m

0.063-63

130-190

Sonic boom low-flying
aircraft (N wave)

2.4-6.9

162-171

Pistol

5.0

168

Rifle

1.7

159

4 rifles1.78-8.43

159-173

Automatic rifle

7.2

171

Field cannon 105

50.3

188.0

17 Pdr. T/A gun

54

188.6

3 inch mortar short

58

189.2

Auditory Effects of Impulse Noise
Exposure to impulse noise causes similar effects as continuous noise: at lower
levels there is a TTS, first at 4-6 kHz. For repeated exposure over long time,
this may develop into PTS and deteriorate by involving a wider frequency
band. At higher levels, permanent damage may ensue even from one or a few
events. With impulses the individual susceptibility varies even more thanwith continuous noise. This is demonstrated in the first entries of table 6
which shows TTS and PTS data from humans. Ear pain may occur already at

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0.36 kPa overpressure (145 dB), however, there are cases of no pain even whenboth eardrums were ruptured. Table 7 gives results from animal experiments.
With impulse noise, TTS often increased in the first hours after exposure.
Table 6: Auditory effects of impulse noise and blast waves on humans.
Peaklevel / dB

Pulse
duration

Numberof pulses

TTS

PTS

Remarks

140

2 ms

75

40 dB at 4 kHz

none

most sensitive
subject

155

2 ms

75

< 40 dB at 4 kHz none

least sensitive
subject

159

rifle shots

30 - 80, recovery none
in up to 6 days

marksmanposition189

gun shots

30 - 80, recovery none
in up to 6 days

gun-crew
position180-183

blank shot

30 - 80, recovery none
in up to 6 days

ear near rifle
muzzle186-1893" mortarfirst shot

max. 75 dB at
5.8 kHzmonaural exposure - pain, tinnitus

secondshot after
80 min.

recovery up to
5.8 kHz in 2
monthsFirecracker
0.5 m fromear

1

50 dB at 8.2 eardrum rupand 9.7 kHz ture, bleeding

60-80 dB at≥ 3 kHz

male student

150-160 at toy weapons
0.5 mwith 2 - 5 % of
population(600)

with 2.5 % of village festival in
population, India
mean 29 dB
at 4 kHz130-190
at 3 mfirecrackers

with 2 - 5 % of
population(600)

with 2.5 % of village festival in
population, India
mean 29 dB
at 4 kHz

162-171

40-400 ms

many

none

sonic-boom N
waves

Acoustic Weapons - A Prospective Assessment

Table 7: TTS, PTS, and physiological damage produced by impulse noise in animals
AnimalPeaklevel / dB

Numberof pulses

Pulse
duration

TTS

Rhesusmonkey168

260 µ s pos., 33 dB
some
100 msmedian at
neg. press. 14 kHz

10 - 20
more

PTS

Physiologicaldamageup to 15
local ordB median extended
loss of haircells

Chinchilla131, 135,
139, 147

1, 10, 100~ 5 ms(reverberant)

Guinea
pig

153

500

35 µ s pos.
press.
(toy capgun)

15 - 90 dB
mean

0-45 dBmeanhair celllossesroughly parallel to PTS
local hair cell
damage asfrom 125-130
dB of 2 kHz
for 4 hWhen considering safe exposures to impulse noise, the peak level, duration, spectral content, pause interval, and number of impulses have to betaken into account. As a criterion for short impulses, a peak level of 162 dB(2.5 kPa) has been given.66
Concerning higher overpressures from explosions, experiences exist withhumans who suffered from war, bombings, and, rarely, industry accidents;
experiments have been done on preparations from human cadavers and withanimals. The overpressure threshold for eardrum rupture has been given as
35 kPa (peak level 185 dB) (table 8). Only at shorter durations will the inertiaof the eardrum and middle ear play a role to withstand higher pressures.
Among the victims of bomb blasts there is a high incidence of eardrum
rupture. Fracture or displacement of the middle-ear ossicles is rare. Hearing
loss, pain, tinnitus, and vertigo are the most common symptoms; the lattermay often have to do with direct head injury. Smaller eardrum ruptures heal
to a large extent. The other symptoms usually decrease over time as well, but
often a permanent hearing loss remains.
In animals, eardrum rupture from blasts has been studied for decades,
using atmospheric nuclear explosions, shock tubes, or live ammunition. Peak

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overpressures for dogs, sheep, pigs, and monkeys are similar to those ofhumans.
Table 8: Severe damage to humans by strong-shock waves, e.g., from blasts (fastpressure rise, then about linear decrease with the duration given). For each effect,
three pressures are shown: the threshold below which the effect will not occur, thelevel where the damage is expected to affect 50% of the exposed persons, andthe 100% level. The pressures are the peak effective overpressures (free-field if
parallel, free-field plus dynamic if perpendicular incidence, and reflected if in frontof a large surface). Due to variability and - in the case of humans - non-availabilityof experiments, ranges are given instead of fixed values. For repeated exposure,damage thresholds are lower. For shorter durations, thresholds are higher. Note that
normal atmospheric pressure is 101 kPa corresponding to 194 dB peak level.
DamageThresholdoverpressure / kPa

Overpressure for 50% incidence / kPa

Overpressure for
100 % incidence /kPa

Eardrum rupture
fast rising, duration 3 35
and 400 ms

105

slowly rising/static

~150

42-55

Lung rupture“severe”“severe”

duration 3 ms

260-340

680

680

duration 400 ms

83-103260

260

duration 3 ms

770-1100

1100-1500

1500-2100

duration 400 ms

260-360

360-500

500-690

Death

Non-Auditory Effects of Impulse Noise
Vestibular effects of impulse noise were observed with humans as well as withanimals. Guinea pigs exposed to rifle shots showed not only severe damage inthe cochlear organ of Corti, but also lesions in the vestibular end organs, eventhough the animals had not shown marked signs of vestibular disturbance.
With soldiers suffering from hearing loss due to exposure to firearms as wellas with bomb victims, vestibular damage was found. There are, however, several ways of compensating for a loss of vestibular-organ sensitivity.
The organ second most sensitive to blast is the lung with the upper respiratory tract. As a marker for the threshold of unsafe levels, the occurrence ofAcoustic Weapons - A Prospective Assessment

petechiae (bleeding from very small lesions of capillaries, harmless and selfhealing) in the respiratory tract has been proposed; these occur at tens of kilopascals (about 180 dB peak level). With higher pressures, however, large hemorrhages form not only in the tracheae, but also in the lung, due to contusion.
Tissue tears may lead to large-scale bleeding or edema in the lung and to air
emboli which eventually can cause death by suffocation or obstruction of bloodvessels. With sheep exposed to shock waves between 86 and 159 kPa (193-198dB) and about 5 ms duration, lung injury ranged from moderate to strong, but
still sub-lethal. Estimates of overpressures for human lung damage and deathare given in table 8.67
Table 9: Simplified summary of the threshold sound levels in dB for various effects
relevant for acoustic weapons in the different frequency ranges (rms levels) and forblast waves (peak levels). Note that the levels are approximate, that the effects
change smoothly with frequency and depend on duration, and that there is wide
invidual variability. For details, see the respective subsections in the text and thereferences given there. k: kilo (1000).
Range

Frequency/ Hz

Ear pain

PTS from
short
exposure

Eardrum
ruptureTransientvestibular
effects

RespiratoryorgansInfrasound 1 - 20

160 .. 140(1 .. 20 Hz)

none up
to 170>170

none up
to 170none up to170

Low audio 20 - 250

135 - 140

none up
to 150160

150
mild nausea

150
intolerable
sensations

High audio 250 - 8 k

140

120 .. 135 160.. 1501 h .. 7 min.. 0.4 sstrongestat 1-4 kHz

140
slightequilibrium disturbance

140 tickling inmouth etc.
160 heating

Very high 8 k - 20 k/
audio/> 20 kultrasound140

none up
to 156?

none up
to 154140 tickling inmouth etc.
160 heating

Blast wave -145

150 - 160

185

160

200 lung
rupture210 death

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Production of Strong Sound
Whereas sources of audio sound are well known, this is much less so forsources of low-frequency sound, and in particular of infrasound, which occurs
at surprisingly high levels in everyday life. Thus several low-frequency
sources are described first. Then, strong sources potentially usable for weapons are discussed.

Sources of Low-Frequency Sound
Infrasound proper is produced naturally by sea waves, avalanches, wind turbulence in mountains, volcanic eruptions, earthquakes, etc. Whereas suchwaves are only very slightly absorbed and - augmented by high reflection at
the ground and a refracting channel in the atmosphere - can travel thousandsof kilometers, the pressures and frequencies are such that humans do not hearthem, and all the more are not negatively affected. Thunder has time-varying
spectral peaks from infrasound to low-audio sound and can of course be heard.
Wind gusts can produce quite high dynamic pressures; from the expression forthe dynamic pressure2

pd = ρ0 v ⁄ 2(3)(the air density at sea level is ρ 0=1.2 kg/m3), it follows that for a peak windspeed of v =10 m/s the peak pressure is 65 Pa, corresponding to a level of 130
dB; with gale speed of 40 m/s, 1.04 kPa or 154 dB results. That such pressure
fluctuations do not produce pain is due to the fact that wind varies on a timescale of seconds, i.e., with frequencies below or about 1 Hz.
Human-produced infrasound can have comparable or even higher amplitudes.
Diving into water of density ρ W to a depth of ∆ h=2 m increases the pressure
according to∆ρ = ρ W g ∆h(4)

(g=9.81 m/s2 is the gravity acceleration at sea level) by ∆ p=19.6 kPa (level 180dB) within a second or so.68 Blowing into another’s ear can produce 170 dB.
Even running produces considerable amplitudes; applying (4) with an rms
head motion amplitude of ∆ h=0.1 m and the density of air ρ 0 results in 1.3 Pa(level 96 dB).
Whereas these examples have dominant frequencies around or below 1
Hz, sounds from jet aircraft, rockets or airbag inflation reach up to and into
the audio range.

Acoustic Weapons - A Prospective Assessment

Lower levels are produced by wind turbines, air conditioning and ventilation, and inside cars or trucks; opening a window produces a marked increasein the infrasound region. In industry, low-frequency sound is produced by compressors, crushers, furnaces etc. In the engine room of ships, high levels havebeen found.
Finally, blast waves need to be mentioned. Their overpressure amplitude
can be arbitrarily high, whereas the following negative wave is of course limited to the negative atmospheric pressure (101 kPa at sea level).69
In order to test effects of low-frequency sound, special test equipment has
been developed. For testing only the ears, low-frequency 15-W 30-cm loudspeakers have been tightly fitted with a plate; a hole connected this to the ear
defender of a headset. Thus, levels up to 140 dB (400 Pa) were achieved.70
In order to test whole-body exposure, several test chambers of 1-2 m3 volume have been built. Here also sealing is necessary to prevent pressure equalization with the outside at wave-lengths larger than the chamber dimension.
One chamber working with six 0.46-m loudspeakers achieved 140 dB (200Pa).71 However, speakers provide only limited travel (1 cm or less) of theirmembranes. Stronger pressure variation is possible with pistons driven, e.g.,hydraulically. For example, the Dynamic Pressure Chamber built at the
Wright-Patterson Air Force Base in Ohio, U.S., has one piston of 0.46 andanother of 1.83 m diameter and 12 cm maximum travel; this can achieve pressure levels of 172 dB (8.0 kPa) from 0.5 to 10 Hz, falling to 158 dB (1.6 kPa) at
30 Hz.72 Note that the same piston, when working into free air at 10 Hz, isequivalent to a spherical source of only 82 Pa rms pressure (132 dB) at 1 m
radius; at 1 Hz, 0.82 Pa (92 dB) would remain, with 6 dB decrease per doubling of distance.73 This demonstrates the difficulty of producing low-frequency sound of high intensity in free air, and shows why tight closure of thetest chambers is required.
Table 10 lists several sources of low-frequency sound.

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Table 10: Sources of low-frequency sound, dominant frequency range, and soundpressure level at typical distance (o.c.: own calculations).
SourceDominant frequency
range / HzSound pressurelevel / dB

Ref.

Geophysical< 0.01-10

54 - 104

74

Thunder at 1 km

< 4 - 125

< 114

75

Wind fluctuations~1

up to > 160

o.c.

Running

<2

95

76

Blowing intoanother’s ear

~ 0.5

170

76

Diving to 2 m of water

~1

180

76

Wind turbine, 150 m
downwind

2 - 108077Ventilation/air conditioning1 - 2060 - 90

77

Industry

5 - 100

70 - 11078

In car(window closed)

5 - 100

100

78

In car (window open)

1 - 30120

78

Jet aircraft (under10 - sev. 1000
neath flight path at airport)

135

79

Jet engine with afterburner(at runway margin)

20 - 80014880

Large rocket, crew
compartment

10 - 2000

13581

Large rocket at 1.6 km

1 - 200

130

82

Sonic booms

1 - 100

120 - 16083

Airbag inflation~ 5 / 500 - 1000

Ship engine room

170

84

133

85

Blast wave

< 1 - 100

unlimited

Loudspeakerheadset1 - 200

14670

Whole-bodychamber,loudspeakers

2 - 100

14071

Whole-bodychamber, piston

0.5 - 10/30

172/158

72

Acoustic Weapons - A Prospective Assessment

Acoustic Sources Potentially Usable for Weapons
Strong sounds can of course be produced by loudspeakers connected to amplifiers.86 Providing enough electrical power requires a generator or heavy batteries, and achieving very high levels outdoors needs very large banks of
speakers. Typical maximum electrical powers fed to one speaker are a few 100
W, of which only 1 or 2 per cent are converted to acoustic power, due to themembrane-air impedance mismatch.87 Better efficiencies (10 to 50 %) are possible with (exponential or other) horns in front of the speaker which also
improve directivity. For low frequency, horns have to be large.88
The main advantage of loudspeakers, namely their capability to emit abroad range of frequencies without large distortion, may not be needed foracoustical weapons, however. If just loud noise is to be produced, there aresimpler possibilities, e.g., a siren or a whistle. Table 11 lists such sources with
their properties.
In a siren, an air flow is periodically opened and blocked by a rotor theholes of which pass holes in a stator. Whereas early types had efficiencies of 1
- 2 per cent, already in 1941 a model was built which produced about 37 kW
acoustical power (at 460 Hz) from 52 kW air flow power, i.e., with about 70%
efficiency. This device - with its 71 kW and 15 kW combustion engines for thecompressor and rotor, respectively - was mounted on a small truck; the six
exponential horns of combined diameter 0.71 m provided a direction patternwith half-pressure angle of about 40° from the axis, about fitting to diffractionof the 0.75-m wavelength. With pressure levels above 170 dB in the horns, thewooden horns used first were destroyed during the first 5-minute test and had
to be replaced by ones made of steel. With propagation in open terrain and a
1.42 m wide extension horn, an approximate 1/r decrease of the maximum
pressure – due to spherical propagation – was observed to more than 500 m
distance; on-axis levels were 137 dB, about the pain threshold for the unprotected ear, at 30 m and 127 dB at 100 m.89
Whereas somewhat more compact siren designs at the same power levelare certainly possible, the input power required, the limits on flow and pressure within the siren and the size of the horns for impedance matching andachieving directivity for frequencies up to hundreds of Hertz result in sizes of
1 meter and more – the larger, the deeper the frequency. The device will
require at least a pickup truck for mobility.
Sirens can also be used to produce high-frequency sound, up to the ultrasonic region. For example, with a device of 0.3 m size and 25 kg mass (withoutcompressor) working with 200 kPa overpressure and an air flow of 0.1 m3/s,
levels of 160-165 dB with more than 2 kW of acoustic power were produced at

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3 to 20 kHz, at an efficiency of 20%.90 Another device produced about 160 dB
at low ultrasonic frequencies and more than 140 dB at 150 kHz; higher levels
were possible in the audio range.91
The siren principle – modulation of an air flow by opening and closing ofholes – can also be used to produce sound of arbitrary waveforms. One example of such an infrasound-capable siren speaker is the Mobile Acoustic Source
System (MOAS) which the National Center for Physical Acoustics at the University of Mississippi built for the Battlefield Environment Directorate of the
U.S. Army Research Laboratory.92 This unique system can provide 20 kW ofacoustic power through an exponential horn of 17 m length and 2.3 m maximum diameter; the cutoff frequency is 10 Hz. It is mounted together with the
115 kW Diesel compressor on a telescoping semi-trailor. Here, a cylinder withslits on the circumference is moved electrodynamically past corresponding
slits on a fixed cylinder, thus the air stream can be modulated by the current
in the driving voice coil. From 63 to 500 Hz the on-axis frequency response isessentially flat, about 152 dB at 1 m radius for an equivalent point source;
below, it falls to about 130 dB at 1 m at 10 Hz. From the first number, one cancompute that the on-axis level decreases below 137 dB, about the pain threshold for unprotected ears, at 5.6 m from the assumed point source (located in
the centre of the horn opening), i.e., already in the immediate vicinity.93 The
120 dB range is 40 m. For infrasound, the increasing pain threshold anddecreasing horn efficiency combine to prevent ear pain even close to themouth, again demonstrating the difficulty of producing very high low-frequency amplitudes in free air. The main purpose of the MOAS is to test atmospheric propagation over many kilometers; another one is to simulate vehicle
noise. The strong non-linearity in the device does not hamper these applications.
Periodic strong low-frequency air vibration can also be produced aerodynamically, by non-linear production of turbulence interacting with resonators,
as in organ pipes and whistles. In the Galton whistle an air flow from an annular orifice hits a sharp circular edge inside of which is a cylindrical resonating
volume. This whistle type has been used to produce frequencies from infrasound to ultrasound, mainly depending on the resonator size. Some variationof resonance frequency is possible by adjusting the length of the cavity. In theregion 40 to 200 Hz, other whistle types have produced higher acoustic powers, up to the kilowatts range, with sizes on the order of 1 meter.94 Infrasoundwould require much larger resonators (frequency scales inversely with resonator length) and compressor powers (scaling with air flow area).
For high audio frequencies and ultrasound, Galton whistles are less powerful than Hartmann whistles, where the annular orifice is replaced by anAcoustic Weapons - A Prospective Assessment

open nozzle. These produce frequencies from several kHz to about 120 kHz;
modified versions have achieved up to about 2 kW at 4 to 8 kHz at efficienciesof up to 30%. Using a parabolic reflector of 200 mm diameter, a beam width(full width at half maximum pressure) of about 30° was achieved. For ultrasound, using multi-whistles up to 600 W were achieved with about 10 and 33
kHz.95In order to produce high-power ultrasound in air, piezoelectric transducers
vibrating larger disks can be used. With one design, a stepped-thickness disk
to achieve in-phase emission despite nodal circles, sound levels above 160 dB(2 kPa) were reached in front of the 20 cm diameter disk; it had to be watercooled to avoid breaking. The efficiency was about 80%, the sound power up to
about 200 W. The resonance bandwidth was only a few Hz. The half-intensity
beam width was 5° (about fitting to linear diffraction), and the on-axis level
had decreased to 150 dB (0.63 kPa) at 1 m distance.96 Thus, at 10 m 130 dB(63 Pa) would result in the case of linear propagation, with an additional
attenuation by 8 dB (factor 0.4 in pressure) due to absorption. However, shock
would set in at about 0.1 m, increasing the losses.97 In an experiment, with alevel at the source of 153 dB (0.89 kPa) only about 123 dB (28 Pa) remained at
5.7 m distance.98
Finally, there is the possibility to produce a shock pulse by an explosive
blast. In the case of spherical propagation even a sizable charge of 1 kg TNT
may produce ear pain to about 200 m, whereas injury or fatality is expected
only to a few meters.99 The latter use would of course represent a traditional
weapon and damage mechanism (note that in many weapons the lethality
radius against persons is increased beyond the one due to blast by packing
shrapnel around the explosive). Utilizing the ear pain mechanism with aspherically expanding shock would be problematic for several reasons. With
regard to the effect, because the user needs to be protected, which is done bestby distance, the charge is usually thrown before it is ignited. Since eachcharge would produce just one pulse, it could be necessary to repeat the use
often. Seen from a viewpoint of humanitarian law or of non-lethality, on theother hand, there is the danger that the aiming is not exact and the charge
explodes too close to someone, causing permanent injury or death. There may
be an exception with very small charges, which could be used to cause surpriseand confusion, especially within closed rooms. But here the visual effects of
the accompanying light flash may even be more important, and such weapons
are already in use. With very small charges (grams to tens of grams), there isalso the principal possibility of a rifle-like weapon shooting explosive bullets
to some distance (see below). If the explosion does not occur in free air, but insome open cavity or tube, resonance can intensify a certain frequency range.

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A new perspective on shock-wave weapons would exist if it were possible
to direct the shock, avoiding spherical distribution of the energy released, andso having only to deal with, e.g., 1/r decrease with distance – due to shockheating of the air – in the theoretical case of a beam of constant width. In theabsence of published data, some speculation is justified for a preliminary analysis. Conceivably, the spherically expanding shock wave from an explosion
could be caught in surrounding tubes, the other ends of which would be bundled in parallel in a circular, approximately planar transmitting area. By suitable bends, the tube lengths would vary in such a way that the individual
shock waves would arrive about simultaneously at the openings, there combining to a common large shock wave which would start with an approximately planar front. This would be equivalent to a homogeneous layer of
explosive on the emitting area ignited nearly simultaneously everywhere. The
explosive layer could of course also be formed by, e.g., gasoline mixed with air,sprayed from small nozzles, ignited by an array of spark plugs. The mainquestion here is how far the beam radius would remain the same, or how soon
spherical spreading – with the accompanying shock 1/r3 decrease with distance – would set in. However, strong shock waves expanding into free air suffer from diffraction from the beginning, even though modified by the pressure
dependence of speed.100 Thus, it seems that although some concentration of
the energy into a cone may be possible, spherical propagation will hold from a
distance several times the source diameter. More definite statements require a
detailed study.
One can also speculate what would happen if such explosions - with initially planar, bounded wave fronts – were produced repeatedly. In analogy
with combustion engines, where many thousands of ignitions can occur per
minute in each cylinder, frequencies of 100 Hz are conceivable with liquid fuel,with micromechanical valves etc. potentially much higher values. Of course,
cooling, withstanding the overpressure pulse, and the recoil will present formidable, but solvable, engineering problems. Estimates show that megawatt
power,101 source levels around 180 dB (tens of kPa pressure, still marginallyin the weak-shock region with nearly symmetric waveforms) are possible witha fuel consumption of tens of grams per second, comparable to a tankengine.102
After the first shock, each sufficient one would propagate in alreadyheated gas with a correspondingly higher speed. Thus, later shocks would continuously reach and replenish the first front. As there would be some decreaseof pressure and temperature away from the beam axis, following wave fronts
would become more forward-dented and would suffer more from diffraction
loss away from the axis. Quantitative estimates of the overpressure decreaseAcoustic Weapons - A Prospective Assessmentwith the distance and angle from the axis require much more clarification by
the developers of such systems and/or a detailed theoretical study.103
In order to overcome the amplitude decrease with distance, one can also
use a small source which is moved close to the target. The principle is exemplified by exploding or whistling firecrackers. The latter could contain a whistle
or siren, driven by a pressurized-gas container or a gas generator (as, e.g., inan airbag), and could work for many tens of seconds up to minutes, dependingon size.
With a mass of hundreds of grams, both types could be thrown by hand or
shot by a rifle; heavier “sound grenades” could be shot by a larger (air) gun.104
Table 11: Strong sound sources potentially usable for acoustic weapons. The values given are
typical or apply to a specific device (notional for the hypothetical repetitive-blast device). k:kilo (1000); o.c.: own calculations. Note that in case of very high levels close to the source, athigh audible or ultrasound frequencies non-linear effects will lead to strong absorption andfast decrease of pressure level with distance.

SourceDiameter of
emitting
area / m

Frequency /Hz

Acoustic
Power /
kW

Sound
pressurelevel / dBAt
distance/m

Ref.

Large siren

1.4

200 - 600

37

137

30

89

Small siren

0.3

3 k -20 k

2

165

close

90 91

Large air2.3
flow-modulation speaker

10 - 500

20

126

27

92

Giant whistle 0.2

40 - 200

several

160

close

94

Hartmannwhistle

4k-8k
20 k

2
0.6

160

close

95

Piezoelectric 0.2transducer
with disk

20 k

0.2

160

close

96 98

Explosiveblast< 1 - 100

unlimited

unlimited

100

1000

180

close

o.c.

0.2

1

Hypothetical 1
repetitiveblast

In conclusion, it is possible to construct strong sources of low-frequency
sound which can be tuned to some extent, or which can deliver arbitrary waveforms, with efficiencies between 10% and 70%. Beam widening roughly corresponds to diffraction. Resonators, air flow limits, horns for directivity, andpower requirements, all drive the size of such sources with their auxiliary
equipment into the range of 1 meter and more, and the mass to several hundred kilograms and more.
Higher audio-frequency and ultrasound sources could be somewhat

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Altmannsmaller, but due to their power requirements no great reduction of the total
system size seems possible. (Compare the sizes of the required engines, electrical generators or compressors with those of commercial gasoline-engine AC
generators of 1 to 5 kW.)
Explosive-driven sources can produce blast waves, probably also with repetition at low audio frequencies. Megawatt powers seem achievable, again
with source sizes on the order of 1 meter.
Hand-held acoustic weapons of pistol or rifle size with ranges of tens ofmeters can be excluded almost certainly. The only exception would be a small
whistling or exploding “sound grenade” thrown or shot to within a few metersfrom a target.

Protection from High-Intensity Sound
The sound pressure acting on the eardrum can be reduced by earplugs which
are inserted into the external ear canal, or by ear muffs enclosing the outerear. Whereas both types can provide attenuation from 15 to 45 dB at higher
frequencies (500 Hz and above, including ultrasound), earmuffs are less efficient at low frequencies (250 Hz and below); at some infrasound frequencies,
they even may amplify levels. Here, earplugs are better; those of the premolded or user-formable type attenuate by 10 to 30 dB at low frequencies. The
best low-frequency protection is provided by earplugs made of slow-recovery,
closed-cell foam; these can reach 35 dB if inserted deeply. Combinations of earplugs and earmuffs are advisable for protection against impulsive peak soundlevels of 160 dB and above. Combining an earphone with a sound-absorbing
helmet can achieve 30-50 dB attenuation from 0.8 to 7 kHz. Much stronger
attenuation at the external ear is not useful because sound reaches the inner
ear also by bone and tissue conduction.105
Protection against whole-body exposure can principally be provided byenclosures that are sufficiently stiff so that they are not easily vibrationallyexcited transmitting sound to the inside, or by linings with sound-absorbing,e.g., porous material. For jet engine technicians, protective suits exist.106 The
absorption mechanism loses its value with low frequencies, however – when
the lining becomes thinner than about one-fourth wavelength (e.g., 0.34 m for
250 Hz), the absorption decreases with decreasing frequency.107 For very highimpinging levels at high frequencies, heating in the absorptive material may
present a problem, but in the present context this is mostly theoreticalbecause of the strong decrease with distance.
An armored vehicle, if completely closed, should provide considerable pro-

Acoustic Weapons - A Prospective Assessment

tection against low-frequency sound. A normal road vehicle, on the other
hand, is neither air-tight nor are windows or panels stiff enough not to transmit impinging low-frequency pressure variations. Similarly, low-frequency
sound may enter buildings via slits or closed windows. If the frequency corresponds to a room resonance,108 internal pressures by far exceeding theimpinging ones can develop. Utilizing this effect requires a variable-frequency
source and some on-site modelling and/or experimentation. It is conceivablethat during resonance build-up windows burst – due to their large areas at
levels below the human pain threshold – diminishing the resonance effectagain.
At higher frequencies, on the other hand, walls, windows, sheet metal andthe like can provide substantial attenuation.

Therapy of Acoustic and Blast Trauma
Here only a few indications will be given.109 Some immediate effects of overexposure to sound may simply vanish with time – from minutes to months –such as hearing loss, tinnitus, pain, or vertigo. Some, however, may remain
permanently. These are probably caused by inner-ear damage, e.g., to haircells on the basilar membrane in the cochlea, or by similar effects in the vestibular system. Such damage seems to grow for a few hours after acoustic
trauma, which may have to do with reduced blood supply. Thus, drugs furthering blood circulation are often given. There are conflicting studies on the success of such treatment.110
Since further exposure to strong noise increases the damage and interferes with a healing process, achieving quiet at an injured ear as fast as possible (e.g., by an earplug) is an important part of therapy.111
Tympanic-membrane ruptures produced by bombings healed spontaneously in 80-90% of the cases. Operations closing the membrane are mainly
required when the perforations are larger than one third. Fracture or displacement of middle-ear ossicles occur more rarely and indicate much more
severe blast damage; these require much more complicated surgery.112
Whereas there are cases when nearly full recovery of hearing occurred
even after ruptures of both eardrums, it is more likely that PTS - of moderate
to severe extent – ensues.113 Therapy cannot do much about that; providing
hearing aids may be the main form of help after the fact. In case of near-deafness, providing a cochlear or even brain-stem implant for direct electricalstimulation of sensory or nerve cells - an expensive treatment – may restore
significant hearing and speech-perception abilities.114 Prevention, e.g., by ear

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Conclusions
Judging acoustic weapons is particularly complicated because there are somany facets. The potential effects range from mere annoyance via temporary
worsening of hearing to physiological damage of the ear, and in the extreme
even of other organs, up to death. The criteria will also differ according to theintended context and scenario of use; the spectrum extends from close-range
protection of fixed installations to mobile systems, on the one hand for law
enforcement, on the other hand for armed conflict. Lack of official information
on development projects and unfounded allegations on properties and effectsof acoustic weapons make judgement even more difficult.
Rather than trying to provide a complete judgement for all possible weapons types and use options, this article aims at providing facts that further thedebate and eventually help to arrive at responsible decisions on how to deal
with acoustic weapons. This section summarizes the main results of the study,
and ends with a few general remarks.

Effects on Humans
Contrary to several articles in the defence press, high-power infrasound has
no profound effect on humans. The pain threshold is higher than in the audio
range, and there is no hard evidence for the alleged effects on inner organs, on
the vestibular system, for vomiting, or uncontrolled defecation up to levels of
170 dB or more.
Throughout the audio region (20-20,000 Hz), annoyance can occur alreadyat levels far below bodily discomfort, in particular if the sounds are disliked
and/or continue for a long time. This may produce the intended effects in specific situations, e.g., a siege of a building occupied by criminals. Because usually no lasting damage would result, there is no reason for concern underhumanitarian aspects.
The situation changes at higher levels, where discomfort starts at about
120 dB and pain in the ears occurs above about 140 dB. As a consequence ofintense sound, at first a reversible deterioration of hearing occurs (temporary
threshold shift). Depending on level, duration, frequency, and individual susceptibility, however, already short exposures at levels above, say, 135 dB can
produce lasting damage of hearing (permanent threshold shift). Such damage
need not be sensed immediately by the victim; the deterioration may become

Acoustic Weapons - A Prospective Assessment

known only later. It is mainly located in the inner ear. The eardrum rupturesat about 160 dB; even though it may heal, permanent hearing loss may
remain.
With low audio frequencies (50-100 Hz), intolerable sensations mainly inthe chest can be produced – even with the ears protected – but need 150 dB
and more.
At medium to high audio frequencies, some disturbance of the equilibrium
is possible above about 140 dB for unprotected ears. At even higher levels,
tickling sensations and heating may occur in air-filled cavities, e.g., of the noseand mouth.
High audio frequencies (above 10 kHz) produce less threshold shift, and at
ultrasound the ear is essentially untouched if levels are below 140 dB. In
these frequency ranges heating of air cavities, of textiles or hair may become
important above about 160 dB.
Early therapy may lead to some improvement after acoustic trauma. However, permanent hearing loss, once occurred, cannot really be reversed, leaving hearing aids and cochlear implants as the main means of reducing theconsequences.
Shock waves from explosive blasts – for which the name “acoustic” is questionable – can have various effects. At moderately high levels (up to about 140dB), there is temporary hearing loss, which can turn into permanent one at
higher values. Above 185 dB eardrums begin to rupture. At even higher levels(about 200 dB, overpressure already 3 times the atmospheric pressure), lungs
begin to rupture, and above about 210 dB some deaths will occur.

Potential Sources of Strong Sound
Loudspeakers are not very efficient in producing strong sound, unless coupledwith horns. Higher levels are more easily achieved with sirens producing single tones of variable frequency, powered, e.g., by combustion engines. At low
frequencies sound powers of tens of kilowatts with a source level of 170 dB
have been achieved; in the high audio and ultrasound range the figure is a few
kilowatts at 160 dB. With a siren-type speaker low-frequency sound of arbitrary waveform can be produced at similar powers and pressure levels. With
whistles, again mostly tonal sound is produced; at low frequencies, tens ofkilowatts should be possible, at high audio frequencies several kilowatts, andin the ultrasound region around 1 kilowatt.
Explosive charges produce a blast wave the overpressure of which (at constant distance) scales linearly with the energy released; thus there is practically no upper limit at close range. A new type of source would result if

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explosions do not occur one at a time, but in fast sequence, with frequencies,
e.g., in the low audio range. Here, megawatt acoustic power and 180 dB source
level seem achievable in principle.
For nearly all source types mentioned, a typical size would be one meter ormore. This holds for the source proper with its emitting area as well as for the
associated power supply, e.g., a combustion engine. Rifle-like hand-hold acoustic weapons are only conceivable with ammunition for bangs or whistling; allother sources will be fixed, or will need a vehicle, helicopter or the like as acarrier.
Production of strong infrasound by non-linear superposition of two ultrasound beams is not realistic.

Propagation Problems
Whereas it is possible to achieve annoying, painful or injurious sound pressures for all source types mentioned – explosive blasts can even kill - if thetarget person is close to the source, there are great difficulties or unsurmountable problems when such levels are to be achieved at a distance.
The first obstacle is diffraction. Waves emitted from a source immediately
diverge spherically if the wavelength is larger than the source; i.e., the poweris spread over an area increasing with distance, and consequently the intensity and sound pressure decrease with distance. For source sizes on the orderof one meter, this holds for frequencies below a few hundred Hertz. “Beams ofinfrasound” have no credibility. But even at higher frequencies with shorter
wavelengths, where focusing or a beam of constant width can be achieved up
to a certain distance, eventually spherical spreading will take over as well.
The second problem follows from the non-linear properties of the air.
Whenever the sound pressure is as high as required for marked immediate
effects, the wave crests move faster than the troughs, converting the wave into
saw-tooth form after some distance. The ensuing shock fronts dissipate thewave energy much more strongly, so that the sound pressure decreases with
the inverse of the distance, even for a plane wave without beam spreading,and more strongly in case of divergence. In the case of spherical blast waves,the decrease is by the cube of the inverse distance as long as the overpressureis larger than the normal atmospheric pressure.
Shock forms earlier and the associated energy losses become stronger withincreasing frequency; thus, even if diffraction did not significantly reduce thesound pressure at a distance for some high enough frequency, shock-wave
losses would then decrease the pressure from its initially high level along thebeam. How far a given level can be projected depends on many details, such as

Acoustic Weapons - A Prospective Assessment

source size, frequency, the form of the starting wave front, humidity of the air,intended level at the target, but as a rule of thumb one can state that projecting really high levels (say, above 140 dB) to more than 50 m does not seem feasible with meter-size sources.
Only with single blast waves produced by sizeable explosive charges(above 0.1 kg TNT) can shock overpressures transcend such levels at such distances. Because for impulses the human tolerance is higher, and because of
the steep decrease with distance, much higher overpressures with the capability for lung rupture and death would hold at closer range.
I am not aware of a plausible mechanism for an alleged “basketball-size
acoustic bullet” that could be even lethal over several hundred meters; clarifying or reliably refuting this allegation needs further study.
The case is different if strong acoustic waves are set up indoors, where thepower is kept in place by reverberation from the walls. Achieving high levels
will be particularly effective at room resonances. Direct coupling – e.g.,through ventilation ducts – would be most efficient; next could be applicationof sound pressure via closely fitting tubes pressed against windows. Radiatinga sound from a distance would provide the worst coupling, but may suffice to
set up resonance vibration under certain conditions.

Further Study
There are a few areas where clarification or more detailed scientific-technicalstudies would be helpful. The more important issues are:♦quantitative aspects of the propagation of bounded beams of shocked
waves (weak and strong shock);♦the working principle and specifications of a possible multi-explosion blast
wave source; and♦the possibility of “diffraction-free” propagation of high-power acoustic
pulses over considerable distances (“acoustic bullets”), in particular using
vortex rings.

General Remarks
As with other types of “non-lethal” weapons, with acoustic weapons there are
the problems of dosage and susceptibility varying among individuals. Exposedto the same sound level, sensitive persons may suffer from permanent hearing
loss whereas for others the threshold shift is just temporary.

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Impressive effects on the sense of equilibrium or the respiratory tract
occur only at sound levels which pose an immediate danger of permanent
hearing damage. Therefore, the promise by acoustic-weapons proponents of“no lingering damage” could only be implemented by fairly drastic limits, say,a sound level of no more than 120 dB at anybody's ear. This, however, would
forego many of the hoped-for effects of acoustic weapons.
Because protection of the ears can be quite efficient throughout all frequencies, it would certainly be used by armed forces, organized militias andbands, at least after the first experience with acoustic-weapons use by an
opponent. But since protection is so simple and easily available, it would probably also soon be used by “normal” people in demonstrations, etc.
Considering aspects of international humanitarian law, a complete analysis needs yet to be done. At the present stage, a few preliminary thoughts
seem justified.
Acoustic weapons are different from the recently banned blinding laser
weapons in several respects:♦

The argument that 80-90% of the human sensory input is provided by theeye can obviously not be transferred to the ear; thus an argument on
unnecessary suffering cannot be made on a similar basis as with blinding
weapons.116♦

Physiological injury to the ear from blast is common with conventional
weapons.

♦

Even with ruptured eardrums, healing or at least improvement of hearing
is possible.

♦

Hearing aids and implants are available, whereas comparable aids for thevisual system do not really exist.

Thus, the case for a preventive ban under aspects of the international lawof warfare is much less clear-cut here than with blinding lasers.
On the other hand, acoustic weapons bear a larger danger of indiscriminate effects, even though only at shorter range. Several types of acoustic
weapons would be difficult to direct at only one person, all the more at one
part of a person's body, because diffraction produces wave spreading. Thus, inseveral conceivable situations non-combatants or by-standers would be
affected. As long as effects are temporary, or permanent effects are slight, thismay be acceptable in certain circumstances.
At fixed installations, even sound sources capable of afflicting considerable
lasting damage at close range might not meet strong objections, since onAcoustic Weapons - A Prospective Assessment

approach people would hear the sound and then feel pain and could in mostsituations withdraw voluntarily. However, if in a crowd pressing from behind,
this may be impossible, so that one could demand non-damaging pressure levels (below, say, 120 dB) at the physical barrier protecting an installation.
Mobile acoustic weapons capable of producing permanent damage in aradius of, say, 10 or 20 m, would be much more problematic, especially in a
law-enforcement context. One could probably not rely on the weapon users tokeep certain limits; if to be obeyed at all, they would have to be built into thesystems (e.g., in the form of absolute upper limits of power, or limits on actual
power and duration depending on target distance, for targets within rooms
special precautions would be needed).
The International Committee of the Red Cross has proposed four criteria
for judging when design-dependent, foreseeable effects of weapons would constitute superfluous injury and unnecessary suffering. The first criterion is fulfilled if the weapon causes a “specific disease, specific abnormal physiologicalstate, specific abnormal psychological state, specific and permanent disabilityor specific disfigurement.”117 Taken in this generality, certain acoustic weapons would fall under this rubric.
In sum, acoustic weapons would clearly not be the wonder weapons as
sometimes advertised. Their use in armed conflict or for law enforcement
would raise important issues concerning unnecessary suffering, protection ofoutsiders, and proportionality. One can conceive of special situations where
acoustic weapons could add options for the application of legitimate force in amore humane way, possibly, e.g., in a hostage situation. However, the effects
would be less dramatic than reported, especially on prepared opponents,
whose own capability to inflict damage would not be reduced markedly. Thus
the interest of armed forces and police in such weapons may turn out to belower than their proponents would like.
This might mean that a determined attempt of the humanitarian-international-law community to preventively ban certain types of acoustic weapons
may promise success. Because of the large variety of potential weapon types,of the effects on humans, and because of the large range of sound intensity
potentially involved, for this purpose, clear definitions and criteria would beneeded. One approach might, e.g., demand a limit of 120 dB at any publicly
accessible point in the case of fixed strong sources. Mobile acoustic weapons
could be banned – or limited to very low numbers for specific police uses – ifthey could produce more than, say, 130 dB at 5 m distance. Limits could also
include the frequency-dependent human auditory sensitivity and be stricter inthe range from 0.5 to 6 kHz. Such limits would aim at guaranteeing markedly
less damage than usually afflicted with conventional fire weapons in armed

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were limited to the law of warfare proper.
A more general approach similar to the one taken for the ban on blinding
laser weapons – banning weapons specifically designed to render people permanently deaf – seems less sensible here, since that is not the main goal ofpresent acoustic-weapon development, and deafening at short range could
readily occur as a collateral effect of weapons designed for producing only temporary effects at larger distance. An even more general ban on deafening as amethod of warfare, is unrealistic in view of the multitude of blast weapons in
the arsenals of armed forces.
Because of the ease of protection, it may turn out that armed conflict willbe the least relevant scenario, and that other operations, e.g., for crowd control, will be more realistic. Thus, considerations on bans or limits should takelaw-enforcement and other uses of acoustic weapons into their view from the
beginning.
These arguments show that detailed deliberations are needed in order toarrive at a sensible course of action. It is hoped that this article contributes tothat debate.

ACKNOWLEDGEMENTS
I should like to thank the Peace Studies Program (PSP) of Cornell University,in particular Judith Reppy, for inviting me as a guest researcher during
November 1997. I am also grateful to the John D. and Catherine T. MacArthur
Foundation, Chicago IL, U.S., for providing the funds for the Technical Arms
Control Project of PSP which financed my stay at Cornell University, and to
the Ministry of Science and Research of the State of Nordrhein-Westfalen,
Germany for granting funds to Universität Dortmund for a project on preventive arms control for new weapons technologies under which I finished thisstudy. Finally, thanks go to Franz Fujara of Experimentelle Physik 3, Universität Dortmund, for acting as an applicant and supporting scientific-technicalresearch of disarmament problems.

Appendix 1: Pressure Waves in Air118
Linear Acoustics119
In the air pressure variations produced at a source propagate as sound waves.
The exact wave equation is non-linear; however, for small variations, e.g.,sound pressure below about 0.001 times static pressure, i.e., below 100 Pa

Acoustic Weapons - A Prospective Assessment(level < 134 dB), the pressure-volume curve of air can be replaced by its tangent and the equation linearized. In this case of linear acoustics, the soundspeed is c0=343 m/s at P0=101 kPa static pressure and T0=20 °C temperature,with density ρ 0=1.20 kg/m3.
The sound pressure p is the deviation from the static pressure P0. In orderto estimate it for a simple source one can use the assumption of a monopole(i.e., a breathing sphere) emitting spherical waves in the open. If v rms is the
root-mean-square (rms) surface velocity of the sinusoidal vibration, the rms
sound pressure – at distance r from the centre in the far field – becomesp rms ( r ) = ρ 0 c 0 k A v rms ⁄ ( 4πr )(A-1)

where k=2 π / λ is the wavenumber, λ =c0/ ν the wavelength, ν the frequency.
The rms intensity, i.e., the rms power per area transported with the wave, is2

I rms ( r ) = p rms ( r ) ⁄ ( ρ 0 c 0 )(A-2)

the product Z0= ρ 0c0 is called the impedance of free air. The intensity
decreases with 1/r2 since the rms pressure decreases with 1/r. The total power
P rms emitted is the integral over the full sphere at r,2

P rms = 4πr I rms ( r )(A-3)

which is constant absent other losses.
If the wave field is not spherically symmetric, but confined to some cone ofsolid angle Ω , the intensity in that cone will be higher by 4 π / Ω , and the pressure by the square root of that. If the source is a piston of radius a in an infinite, hard baffle, vibrating with rms velocity v rms and frequency v , then therms pressure at distance r and angle ϑ in the far field isρ0 c0
2 2J 1 ( ( ka ) sin ϑ )p rms ( r, ϑ ) = ----------k2v rms πa --------------------------------------4πr( ka ) sin ϑ(A-4)

The Bessel function expression 2 J1(x)/x is close to 1 from x=0 to about π /2.
Comparison with (A-1) shows that on the axis ( ϑ =0) the sound pressure is
twice the one from a simple spherical source of equal surface area or volume
flow rate, the intensity is four times stronger, due to the reflection at the baffle, or the expansion into a half-space. If the baffle is removed and the piston
conceived to move in the mouth of a pipe,120 the factor 2, or 4 for intensity,
would vanish, the pipe end would act on the axis like a simple source of equalarea or volume flow rate.121 When the wavelength λ is longer than 2 π a, thecircumference of the piston, the argument of the Bessel function term is below

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π /2 even for ϑ = π /2, the second fraction in (A-4) is 1, i.e., the sound pressureis essentially the same in all directions, including along the baffle or even – if
λ ≥ 4πa backward for the case of the pipe. This means that in order to achieve
directed emission for low frequencies, very large transmitting areas would be
required, e.g., already for ν =50 Hz ( λ =6.8 m) a radius a clearly above 1.1 m isneeded.
Transmitting a sound wave of sufficiently high frequency predominantly
into a certain cone can be achieved by a horn with reflecting walls in front of
the source, and enclosing the source at the back.122 Due to its increasing crosssection, it acts as an impedance transformer and can increase the efficiency ofsound generation, e.g., from 1 - 2 % for a direct loudspeaker to 10 - 50 %.123
If parallel waves of constant intensity are emitted from a circular area, in thefar field the innermost Fraunhofer diffraction spot is limited by the angle φ 1of the first null of the Bessel function in (A-4):
sin ϕ 1 = 1.22λ ⁄ D(A-5)

where D is the diameter of the antenna. If the expression on the right is larger
than 1, there is no null at all.
The intensity on the axis is2

2 2

I max ( r ) = PπD ⁄ ( 4λ r )(A-6)

In the case of outdoors sound propagation, modifications apply due to several
effects, most of which are small for the distances (10 to 100 m) considered here
and are neglected for the simple estimates of the present assessment. However, some are difficult to assess in a given situation and thus add a significant
amount of unpredictability for the use of acoustic weapons beyond about 50 m.

Non-Linear Acoustics - Weak-Shock Regime124
If the perturbations due to an acoustic wave are no longer very small compared to the static values, one has to consider the fact that the speed of propagation is no longer constant; it increases with pressure, density or particle
velocity. Thus, regions of higher compression move faster, and regions of lower
density more slowly, than the normal sound speed. This means that the wave
form, even if sinusoidal at the start, becomes distorted (figure A.1 a). Relative
to the zero crossings, the pressure peaks move forward and the troughs backward, finally forming a saw-tooth-like wave where at a given point in space
there arrives first a positive pressure jump and then a linear decrease to thenegative sound pressure minimum, repeated periodically (figure A.1 b). This

Acoustic Weapons - A Prospective Assessment

Figure A.1:Wave forms of an originally harmonic wave before and after shock formation. In
the first stage (a), pressure peaks move faster and troughs more slowly, deforming the wave
as it propagates. In the second stage, a rounded saw-tooth wave forms with strong dissipation in the shock front (b). The front becomes thicker and the amplitude weaker until finally asmall sinusoidal wave remains (c). (Plotted vs. the space coordinate in propagation direction, the waves move to the right.)

can also be described as the successive build-up of harmonics of the original
frequency (for an ideal saw-tooth wave, the amplitude of the n-th harmonic is
proportional to 1/n). Whereas dissipative losses in the medium are not important in the first build-up region, they increase strongly as soon as the shock
front has been formed. During this second stage the amplitude and the nonlinear distortion is slowly reduced, until the pressure becomes so low that linear propagation prevails again (figure A.1 c).
The details are complicated. For a plane wave, the rms sound pressure of aplane wave stays essentially constant during the first phase. After shock formation it decreases approximately as the inverse of the distance – note that
this decrease holds for infinitely extended wavefronts and is not due to geometrical spreading. This phase ends with a low saturation amplitude which
does not depend on the starting value. In the third phase, exponential attenuation prevails.
For spherical waves, the growth of the non-linear disturbance is accelerated in case of convergence, and decelerated for divergent waves, because theamplitude increases/decreases with radius r. If for a divergent wave shock
occurs at all, the amplitude decrease is faster than with 1/r; shock ceases at a

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In case of bounded waves (beams), the amplitude at some distancedepends on the relative contribution of non-linear versus diffraction effects.
Quantitative statements require detailed studies.125

Non-Linear Acoustics – Production of Difference Frequency,
Demodulation126
If two waves of different angular frequencies ω 1, ω 2 propagate in a non-linear
medium, the superposition principle no longer holds and combination frequencies n ω 1+m ω 2 (n, m integer) are generally produced. In particular in thepresent case, the difference Ω = ω 1- ω 2 of two about equal angular frequencies
may be interesting, because the former, due to its low value, would be muchless absorbed by the air than the latter ones. Also the beam widening by diffraction would be much lower.
Superposition of two waves of similar frequency at first produces a variation in amplitude with the frequency difference, similar to an amplitude-modulated wave. In case of plane waves, the modulation- or difference-frequencywave amplitude p Ω will at first increase linearly with distance. After shock
formation, however, it will saturate to a constant, with linear dependence on
original amplitude p0
p Ω = πmΩ p 0 ⁄ ( 4ω )(A-7)

(m≤1 is the degree of modulation). This holds for a triangular wave and is correct except a constant factor for an originally sinusoidal one too, analogously
for the difference frequency. (A-7) means that the sound pressure of the lowfrequency wave is always lower than the original wave starting pressure by afactor Ω / ω , which is much smaller than unity under the assumptions madeabove.

Strong-Shock Regime127
In strong shock, as produced by an explosive blast, the overpressure is markedly above normal atmospheric pressure. A following underpressure pulse islimited to the atmospheric pressure, of course. Because of the high overpressure, the shock front moves with a velocity clearly above the sound speed. At
any given distance, a fast overpressure jump occurs first, followed by a slower
decrease to normal pressure, possibly via an under-pressure phase. After passage of the shock wave, the gas remains at elevated temperature anddecreased density. The maximum overpressure scales approximately linearly

Acoustic Weapons - A Prospective Assessmentwith the energy and for three-dimensional propagation decreases approximately with the inverse cube of the distance. As soon as the overpressure falls
below atmospheric pressure, transition to weak-shock, and finally linear, propagation with the usual sound velocity, and inverse-distance times exponential
amplitude decrease, takes place.
Figure A.2 shows several quantities for explosions of 0.1 and 1 kg TNT infree air at sea level. Figure A.2 a shows the shock overpressure. The transition
from the r -3 (strong-shock) to the r -1 (weak-shock/linear-propagation) dependence is seen around a distance of 3 and 7 m, at overpressures around onethird the normal pressure. It is interesting that even with 1 kg, a considerable
amount of explosive – maybe ten times of that in a hand grenade – the threshold for eardrum rupture (about 35 kPa, see 2.5) is crossed at less than 5 m. On
the other hand, the peak level is higher than 145 dB (0.36 kPa) where mostsubjects had felt pain in laboratory experiments,128 to about 200 m.
Figure A.2 b shows the duration of the positive-overpressure part of theshock wave. It is obvious that for small chemical explosions the pulse durations – at applicable distances – are on the order of milliseconds, thus in table
8 the damage thresholds for the short times apply.
For such short waves, the body is very quickly immersed in the same overpressure from all sides, and a sizeable net force is mainly exerted by the
dynamic-pressure drag of the moving air behind the shock. Figure A.2 c shows
the approximate dynamic impulse per area for unity drag coefficient.
A strong-shock wave suffers from diffraction as well, but with a modification in that the propagation speed depends on the local pressure. For an
extended plane or spherical wave, this mechanism provides for some stabilization of the shock front: should a backward bulge develop at some part, confluence of the power there would accelerate that part again, and vice versa.
However, shocks emanating from the open end of a tube show immediate widening and propagation even in the backward direction along the outer side of
the tube.

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Figure A.2: Shock overpressure (a), overpressure-pulse duration (b), and approximate
dynamic-pressure-caused impulse per area for unity drag coefficient (c), versus distance r
for conventional explosions of 0.1 and 1 kg TNT at sea level in free air. The strong-shock
regime with r -3 pressure decrease holds to about 2 and 5 m, respectively. For an explosion
at hard ground the energy has to be multiplied by 2 or the distances by 21/3=1.26. In (a),several damage thresholds are shown. Lung damage will occur below 0.8 m or 1.8 m, eardrum rupture is expected below 2 and 5 m, and some people will feel ear pain if closer
than 100 m or 200 m, respectively. For distances above 1 m, the overpressure-pulse durations (b) are on the order of milliseconds. The drag-exerted impulse per area transferred toa small object can be gained from the approximate curves in (c) by multiplication with thedrag coefficient.

For the present application the question is whether considerable shock
energy can be focused into a narrow cone, avoiding distribution over a fullsphere. Whereas shock overpressure would decrease in proportion to 1/r aslong as the beam size would remain constant, the usual r -3 decrease would
take over as soon as the size would increase. How far considerably stronger
overpressure than for a spherical explosion would be possible needs a detailed
study. However, it seems difficult to conceive of a shock wave from a 1-m
source which is still bounded at, say, 50 m.

Appendix 2: Analysis of Specific Allegations with Respect to
Acoustic Weapons129
The following sections deal with a few allegations made mostly in journalistic
articles, first concerning weapons principles, then with respect to effects onhumans.

Acoustic Weapons - A Prospective Assessment

Allegations Regarding Weapons Principles
Infrasound Beam from a Directed Source?
Several journalistic articles speak of an “infrasound beam” (see table 1). It isclear from the beginning (see equation (A-6)) that for long wavelengths a large
emitting area will be needed to achieve substantial intensity at some distance.130 In order to do a conservative estimate I assume a transmitter diameter of 3 m which is already fairly cumbersome, and the shortest wavelengthcompatible with the “infrasound” notion, namely λ =17.2 m for a frequency ofν =20 Hz at 340 m/s sound speed. For the acoustic power I take P=10 kW
which might, e.g., stem from a combustion engine of 30-60 kW. The rms pressure at the source is then 0.77 kPa (level 152 dB). Because the wavelength ismuch larger than the emitter, the far-field intensity is the same in all directions; there can be no beam. Instead there is spherical expansion (as has been
observed with the somewhat smaller MOAS device mentioned in the section
on low-frequency sources).
Because of the large source and low frequency, no shock will form, andnormal linear propagation with 1/r decrease of amplitude with radius willtake place everywhere. At a notional distance of r=50 m the pressure will be
3.2 Pa (level 104 dB), several orders of magnitude below any appreciable effectof infrasound. Of course, should the sound wave, before leaving the emittingarea, have passed through a much narrower duct with higher intensity, shock
may have formed there, reducing the intensity outside even further.
Next, let us test the low-audio frequency of 100 Hz, the upper limit ofwhere stronger non-auditory effects had been observed at about 150 dB level,
and let us assume the same large emitter size of 3 m. In forward direction
there is still spherical propagation without shock. The pressure at 50 m distance will be 16 Pa (level 118 dB), which is very loud but clearly below thepain threshold. Inner-organ effects as observed at about 150 dB will occur only
immediately in front of the source. Aural pain and damage from short-term
exposure is expected – in case of unprotected hearing – for distances up to afew meters.
At higher frequencies shorter wavelengths facilitate focused propagation.
However, as a beam forms and becomes narrower, non-linear absorption
becomes stronger in parallel. Whereas very high levels with drastic effects,
e.g., on hearing or vestibular system, are possible at close distance, reaching
the pain threshold at 50 m distance or beyond will be practically impossible.
Infrasound from Non-Linear Superposition of Two Directed Ultrasound Beams
One of the alleged early acoustic weapons (the “squawk box” mentioned in the

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introduction) was said to utilize two near-ultrasound waves which would combine in the ear, producing an intolerable infrasound difference frequency(together with the ultrasound sum frequency).131 In a short general analysisof acoustic weapons, the requirement of non-linearity for such production was
mentioned explicitly. Here, the low-frequency component of, e.g., 7 Hz produced from 40.000 and 40.007 kHz was said to disturb the vestibularorgan.132 In neither case, however, was a quantitative estimate of the conversion efficiency made.
To analyze this allegation, one needs first to recall that in controlled
experiments, infrasound of levels above 140 dB did not affect the vestibular
system. Non-linear production of difference-frequency signals can occur either
during propagation in the air or within the ear.133
First to conversion in the air: as discussed with equation (A-7), for planewaves the sound pressure of the difference-frequency wave is smaller than thestarting pressure of the original wave(s) by a factor of the ratio of the difference and the original frequency. Conservatively taking a high infrasonic frequency of 20 Hz and a low ultrasonic one of 16 kHz, this ratio is 1/800: theinfrasound pressure will be smaller by a factor of 800 or more than the ultrasound pressure emitted at the source, i.e., the level will be lower by 58 dB or
more. With 1 m emitter size the plane-wave case is approximately fulfilled.
If one conservatively assumes an infrasound level required for vestibular
effects of 140 dB (200 Pa rms pressure), then the ultrasound level at thesource should be about 200 dB (200 kPa = twice atmospheric pressure, alreadyin the strong-shock realm, a factor of 100 or 40 dB above the strongest ultrasound sources available). Such pressure would correspond to an intensity of
100 MW/m2, which – integrated over the transmitter area of 0.79 m2 – would
mean a total acoustic power of 79 MW. For infrasound effects this would probably have to be maintained over a few seconds. Such a power level seems
extremely difficult to achieve, even if direct conversion from 16,000 gasolineair explosions per second in front of a reflector were used. Reducing the powerby a smaller emitter size would not help, because then the beam width would
begin to grow at a shorter distance, reducing the intensity and thus the nonlinear-conversion efficiency. Quantitative analysis of this hypothetical fast
sequence of strong shocks would need a separate study. In reality, an intensity
on the order of 1 MW/m2 at the source may be possible eventually (180 dB,
bordering on weak shock where equation (A-7) holds, see the section on potential weapon sources), this would – due to the frequency ratio – be converted toa maximum level of 120 dB, which is harmless in the infrasound region.
Thus, it seems highly improbable that non-linear difference-frequency
production in the air from ultrasound to infrasound can achieve levels atAcoustic Weapons - A Prospective Assessment

which marked effects on the ear or the vestibular organ occur.
Second, conversion can take place by non-linear processes in the ear.
Absent publications on difference-frequency infrasound production from highlevel ultrasound in the ear, I do a simple estimate using plausible or conservative assumptions. The first is that as the sound frequency increases from theone of highest sensitivity, about 2 kHz for humans, towards the high hearing
limit, the eardrum motion and consequent transfer to the inner ear decreases,
mainly because of the inertia of the masses involved. For the cat, a decrease bya factor of 20 between 1 and 10 kHz has been observed;134 conservatively, I
take this value for 16 kHz and higher. Second, I use a conservatively simplified non-linear relationship between static pressure and the angle of the umbo(the eardrum centre where the malleus is connected). Again assuming vestibular effects from infrasound of 140 dB level, one arrives at a required ultrasound level of 180 dB (19 kPa) or more.
This is about a factor of 10 or 20 dB above the capabilities of the strongest
periodic ultrasound sources available. Let us nevertheless assume that suchlevels could be produced. With standard assumptions, a 16-kHz wave startingwith such level will become shocked already at 1.4 cm, after which strong
absorption would start until the third, amplitude-invariant stage starts in 39
m with a level of 60 dB. Thus, the required level would be limited to the immediate vicinity of the hypothetical source. Here, however, direct damage to theear by overload beyond the pain threshold is probable, and would represent
the more drastic effect, together with heating even on bare skin (see the subsection on ultrasound).
Taking into account the conservative assumptions made, it seems therefore that neither of the non-linear mechanisms producing the difference (ormodulation) frequency, in the air or in the ear, can generate anything close to
inner-ear infrasound levels at which vestibular effects, or aural pain, would
occur, except in the immediate vicinity of the source.
Producing an audible sound by non-linear processes in the air or in the ear
where two inaudible (ultrasound) beams from separate sources intersect (“deference tone,” see table 1) seems possible, on the other hand, since levels of a
few tens of dB are sufficient for hearing.
Diffractionless Acoustic “Bullets”
For U.S. as well as Russian acoustic-weapon development, journalistic articles
have reported non-diffracting acoustic “bullets,” with, however, somewhat contradicting properties – in some reports they work at high, in others at low frequencies. For the U.S., antennas of 1-2 m size have been mentioned; in Russia,
the bullets were said to be basketball-sized, with frequency of 10 Hz, and to be

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Altmannselectable from non-lethal to lethal over hundreds of meters (see table 1).
It is not clear what might be behind these allegations. As shown in appendix 1, diffraction does occur with all three acoustic wave types – linear, weak –and strong-shock waves. Especially with low frequencies, diffraction provides
for omnidirectional propagation, as demonstrated above. The “10 Hz” statement seems to imply a wavelength of 34 m, which does of course not fit at all
to a “basketball-size” wave packet. But also with higher frequencies and evenin case of shock, diffraction provides for eventual beam spreading, so thatessentially constant-size propagation of a strong disturbance over “hundredsof meters” seems impossible with acoustic waves from sources of the order of 1
m. This holds at least as long as the signals produced at the different parts ofthe source are essentially similar and periodic.
There is a principal possibility of emitting different pulsed waveforms
which vary in a controlled manner across the source area in such a way that
their superposition produces a pulse which remains localized in a narrow
beam for a substantially larger distance than with uniform excitation from thesame source area. The beam width can be smaller than the source from the
beginning, down to the order of a wavelength. However, if the source has finite
size, as of course required for a real device, a far field with 1/r decrease of
amplitude will occur eventually. Such waves have been called “diffraction-free”
beams, acoustic (or electromagnetic) “missiles” or “bullets,” acoustic (or electromagnetic) “directed-energy pulse trains.” The conditions for this effect are:transient source signals of definite (space-variant) wave shape and wide bandwidth (i.e., substantial high-frequency content), and linear propagation. With
respect to acoustics, first ultrasound experiments over tens of centimeters inwater have demonstrated at least some increase of the on-axis intensity over
the one from uniform continuous-wave excitation of the source array.135 However, different from electromagnetics, in acoustics there are two counteracting
effects. The first one is linear absorption which increases with the square of
the frequency and thus successively reduces the high frequencies as the pulse
propagates. Second, for strong sound non-linear propagation leads to shock
formation which occurs the earlier, the higher the amplitude and the frequency. As mentioned in appendix 1, in the shock front unusual dissipative
losses occur, leading to 1/r decrease for a beam of constant width. Unless adetailed theoretical study or experiments prove otherwise, a skeptical attitude
seems advisable towards propagation of acoustic high-power pulses essentially without beam widening over distances much larger than possible withdiffraction of uniform signals. It may turn out that, even though small-signal“pencil beams” prove feasible, at higher amplitude non-linear absorption
destroys the effect.

Acoustic Weapons - A Prospective Assessment

Alternatively, one might think of a soliton, i.e., a one-pulse wave propagating in a non-linear medium in such a way that its amplitude and shape do notchange. This requires that the higher speed of higher excitation caused by the
non-linearity (see appendix 1) is counteracted by either dispersion or dissipation, and essentially one-dimensional propagation in a channel or tube, or as aplane wave of (essentially) infinite size.136 In free air, however, dispersion at
the frequencies of interest is negligible and dissipation is too low, as the process of shock formation demonstrates. Even in a soliton-carrying medium, inthree dimensions the beam expands at distances large versus the source size,
resulting in reduced amplitude.137
There is a further possibility, namely a vortex ring which – because of its
rotational character – is not described by the normal wave equations. A vortex
ring – the smoke ring is an example – is usually produced by ejecting a pulseof fluid through an orifice. At its margin, rotation is produced, and surrounding fluid is entrained, after which the rotating ring – by viscous interaction
with the surrounding medium – moves as a stable entity through the latter.
The fluid in the torus stays the same, thus a vortex ring can transport something, as demonstrated with the smoke particles in a smoke ring. During vortex-ring travel, viscous drag entrains more external fluid and produces awake, thus the ring loses impulse, becoming larger and slower. It has to be
noted that diffraction does not apply here, and that the size increase with distance is relatively slow. Finally, the ring breaks up into general turbulence.138
Assessing the production, propagation, and effects of vortex rings could not bedone here for time and space reasons.139 If the purpose of the ring were not toexert pressure, but only to transport some material (hot gas, irritants, or thelike), the rotation speed would be less important - but in this case the qualification as “acoustic” weapon, already somewhat questionable for vortex rings
proper, would no longer apply, of course. Vortex rings are another area where
an in-depth study is required.140
It may also be that journalists or observers misunderstood something.
E.g., a focused beam of invisible laser light may have produced a plasma infront of a target emitting a shock wave (see below) – the propagation to thefocus would of course not count as “acoustic.” A misunderstanding is also suggested by the discrepancy concerning low or high frequency or by equating“non-diffracting” with “non-penetrating” (see table 1).
Plasma Created in Front of Target, Impact as by Blunt Object
In the defence press, the small arms program liaison of the U.S. Joint Services
Small Arms Program was quoted as saying that an acoustic “bullet” would
incapacitate by creating a “plasma in front of the target, which creates an

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impact wave that is just like a blunt object. ... It causes blunt object trauma,
like being hit by a baseball. Traditional bullets cause ripping, tearing. This issomething different because the plasma causes the impact.”141
Plasma creation would require overpressures of many megapascals, as
they occur in the immediate vicinity of an exploding charge (and where indeed
due to the temperature of several 1000 K the air does not only emit visible
light, but is partially ionized).142
Accepting the “blunt-object” notion, the size of the shock wave would be atleast comparable to the human-body size. This would mean that ears andlungs would be affected as well, with damage thresholds far below 1 MPa.
Thus, shock-induced plasma with overpressures far above that would be certainly fatal. A second problem concerns the possibility of creating such strong
shocks. Whereas with focused shock waves (i.e., implosions) pressures of evengigapascals can be achieved in the extremely small focus in the centre of aspherical shock tube,143 projection to a distance much larger than the source,
while avoiding spherical expansion with 1/r3 shock pressure decrease, seems
unachievable (see above).
Thus, the possibility of plasma creation at a sizeable distance can be discarded. One can speculate whether the journalists have wrongly attributed it
to acoustic weapons, whereas it was in fact meant for the pulsed chemicallaser that is described one page later in the same article, again creating “a hot,high pressure plasma in the air in front of a target surface, creating a blast
wave that will result in variable, but controlled effects on material and personnel.”144 In that case, the task of focusing over considerable distance would
be alleviated by the short wavelength (on the order of µ m) of the laser light,
and high momentary power would be easier to achieve by using short pulses.
A similar argument holds if one asks whether “blunt-object trauma” could
be produced by shock waves proper at some distance. An initially bounded
wave would soon become larger than the human body and would fast diffract
around it, creating about the same overpressure everywhere and exerting
mainly compressive forces, which can be tolerated by tissue except at air-filledcavities. Only the drag of the moving air behind the shock front would exert a
net force. For a conventional explosion a shock overpressure of about 100 kPa
would be required, as it occurs with 1 kg TNT spherically exploding at only
about 3 m distance.145 At such pressure an incidence of eardrum rupture
above 50% is already expected which would of course be the more dramatic
injury.
Thus, blunt-object trauma is only probable very close to the shock-wave
source and/or where a shock-wave beam has dimensions smaller than thehuman body. Also here the same mix-up with the laser-generated plasma hasAcoustic Weapons - A Prospective Assessment

probably occurred, and it was in fact mentioned in the same context.
The case of a vortex ring – acting only on parts of the body – needs a separate analysis, see above.
Localized Earthquakes Produced by InfrasoundAn overview on non-lethal weapons has stated that acoustic weapons could
affect buildings not only by shattering windows, but even by “localized earthquakes” (without giving an explicit source).146 One might define an earthquake by a soil motion sufficient to endanger buildings, which occurs at a soil
speed markedly above 10 mm/s.147 Taking this as a conservative limit andusing a maximum acoustic-seismic transfer factor of 10-5 m/(Pas),148 a low-frequency sound pressure of 1 kPa (level 154 dB) is required to achieve that soil
speed. As demonstrated above, such levels are possible only in the immediate
vicinity of a low-frequency source, but cannot be maintained over tens ofmeters. Thus, if vibration levels damaging buildings are to be produced at all,they will probably not be transferred by vibration of the earth around them,but rather produced by resonances of or within the buildings, most likely
within certain large rooms, directly excited by low-frequency sound energy.
This could indeed produce “earthquake-like effects” inside, from rattling oftableware to breakage of windows, cracks in plaster, and in extreme situations even to collapse of brittle walls, but this would need very good couplingfrom the source (see also the section on protection). A misunderstanding of thephrase “earthquake-like” may be the basis of the allegation.
In a similar way, the alleged “disintegration of concrete” by infrasound,149
which sounds as if it would occur on simple impinging and as such is incredible due to the large impedance mismatch, is only conceivable if a suitablebuilding resonance could be exploited with good coupling from the source.150
The same would hold for embrittlement or fatigue of metals, delamination ofcomposite materials etc.151

Allegations Regarding Effects on Persons
There are a few allegations concerning high-power sound effects on humans
which make a strong impression when being read, but are difficult to confirm
from the scientific literature. This concerns mainly vomiting and uncontrolled
defecation.152
Whereas vertigo or nausea in the vicinity of strong sound sources has beenreported in scientific articles - often characterized as slight or transitory actual vomiting was not reported with high audio frequencies nor with ultra-

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Altmannsound (here dizziness seems rather to have been caused by audio contributions).153 In close vicinity to jet engines, in a systematic study unsteadinessand imbalance were observed, but nausea occurred only in some employees
sometimes after an exposure, and there was no vomiting. These authors mentioned “American reports” where one source had stated that at 13 kHz and 1
W power irritability and headache would be followed by nausea and even vomiting; however, no source for this was given.154 Given that in other experiments people were exposed to 9.2, 10, 12, 15, and 17 kHz at levels of 140 to
156 dB for 5 minutes without any mentioning of even nausea,155 without more
information this single allegation of vomiting does not seem to deserve muchweight. As to intense low-frequency sound, in the most extreme experiments
carried out, mild nausea and giddiness were reported at 50 to 100 Hz with
about 150 dB - but again vomiting did not occur.156 With animals tested at low
frequencies with up to 172 dB, vomiting was not mentioned at all.157
Evidence for bowel spasms and uncontrolled defecation is even scarcer.
Among all the literature surveyed for this article, the only hint found was one
on “digestive troubles” observed during experiments with a strong 16-Hz
siren. These were, however, not specified at all, and the explanation immediately following talked of objects vibrating in clothing pockets.158 In the lowfrequency exposures up to 150 dB no bowel spasms were observed.159 The
same holds for low-frequency animal experiments.160 Here it is noteworthy
that also in reviewing vibration experiments no mention was made of bowel
spasms or uncontrolled defecation.161
A third effect for which there seems to be no reliable source concerns resonances at very low frequencies of, e.g., the heart that might lead to death, as
has been alleged - without further reference - in an early book.162 Reference tothe extreme 150-dB exposures at 50-100 Hz shows that the subjects sufferedfrom several kinds of problems in the chest, but the heart - monitored by EKG- was not mentioned as troublesome.163 Similarly, there are no indications forthe alleged low-frequency-produced internal hemorrhages.164
Thus, it seems that these alleged effects are more based on hearsay thanon scientific evidence. It cannot be excluded that at higher sound levels in specific frequency ranges, vomiting, uncontrolled defecation, or heart problems
will occur, but the evidence for them is scant at best, and achieving such soundlevels at some distance is extremely difficult anyway.

Acoustic Weapons - A Prospective Assessment

NOTES AND REFERENCES
1. A more detailed version of this article with more references and full appendicesappears simultaneously: J. Altmann, Acoustic Weapons - A Prospective Assessment.
Sources, Propagation, and Effects of Strong Sound (Ithaca NY: Peace Studies Program,
Cornell University 1999).
2. Most of the information on non-lethal weapons comes from journalistic articles inthe defence or general press. The following overview articles and books discuss various
problems of non-lethal weapons and provide many references: R. Span, J. Altmann, G.
Hornig, T. Krallmann, M. Rosario Vega Laso, J. Wüster, “‘Non-lethal’ Weapons - Fantasy or Prospect of More Humane Use of Force?” (in German), Dossier Nr. 17, Wissenschaft und Frieden (June 1994); R. Kokoski, “Non-lethal weapons: a case study of newtechnology developments,” in: SIPRI Yearbook 1994: World Armaments and Disarmament (Stockholm/Oxford: SIPRI/Oxford University Press, 1994): 367-386; S. Aftergood, “The Soft-Kill Fallacy,” Bulletin of the Atomic Scientists (Sept./Oct. 1994): 40-45;
A. Roland-Price, “Non-Lethal Weapons: A Synopsis,” in: U.S. Congress, Office of Technology Assessment, “Improving the Prospects for Future International Peace Operations - Workshop Proceedings,” OTA-BP-ISS-167 (Washington DC: U.S. Government
Printing Office, Sept. 1995); J. Altmann, “‘Non-Lethal’ Weapons,” in: J. Rotblat (ed.),Security, Cooperation and Disarmament: The Unfinished Agenda for the 1990s (Singapore etc.: World Scientific, 1998); M. Dando, A New Form of Warfare - The Rise of
Non-Lethal Weapons (London/Washington: Brassey's, 1996); N. Lewer, S. Schofield,
Non-Lethal Weapons: A Fatal Attraction? Military Strategies and Technologies for 21stCentury Conflict (London/New Jersey: Zed Books, 1997). There are not many systematic and comprehensive publications by proponents of non-lethal weapons. The following references give some examples of proponents' writing: “Nonlethality: A Global
Strategy Whitepaper” (Washington DC: U.S. Global Strategy Council, 1992); J. B. Alexander, “Nonlethal Weapons and Limited Force Options,” presented to Council of Foreign Relations, New York, 27 Oct. 1993; Milt Finger, “Technologies to Support
Peacekeeping Operations,” in: U.S. Congress, Office of Technology Assessment (ibid.);
G. Yonas, “The Role of Technology in Peace Operations”; in: U.S. Congress, Office ofTechnology Assessment (ibid.); C. Morris, J. Morris, T. Baines, “Weapons of Mass Protection - Nonlethality, Information Warfare, and Airpower in the Age of Chaos,” Airpower Journal 9, no. 1 (Spring 1995): 15-29; D. A. Morehouse, Nonlethal Weapons - War
Without Death (Westport CT/London: Praeger, 1996). For a balanced view from inside
the U.S. military, see: J. W. Cook III, D. P. Fiely, M. T. McGowan, “Nonlethal Weapons Technologies, Legalities, and Potential Policies,” Airpower Journal 9, Special Issue(1995): 77-91. NLW developments for law-enforcement purposes are presented in considerable detail e.g. in: J. Alexander, D. D. Spencer, S. Schmit, B. J. Steele (eds.), “Security Systems and Nonlethal Technologies for Law Enforcement,” Proc. SPIE 2934
(1997). All kinds of activity are described in the contributions to the conference of the
National Defense Industrial Association “Non-Lethal Defense III,” Johns Hopkins University, 25 and 26 Febr. 1998, http://www.dtic.mil/ndia/NLD3/index.html.
3.

Morehouse (note 2).

4. E.g.: A. W. Debban, “Disabling Systems: War-Fighting Option for the Future,” Airpower Journal 7, no. 1 (Spring 1993): 44-50; Roland-Price (note 2).
5. It seems that other Western industrialized countries rather take a wait-and-see
approach, mainly doing paper studies to keep up to date, see: Altmann 1996 (note 2);reports from Russia indicate that there is considerable interest in non-lethal weapons
as well, examples include directed-energy weapons and an acoustic bullet, see: Kokoski

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Altmann(note 2), 373; M. T., “Russians Continue Work on Sophisticated Acoustic Weaponry,”
Defense Electronics 26, no. 3 (March 1994): 12.
6. These considerations may have been among the motives in the recent rethinking
by the U.S. of its position towards laser blinding weapons. In June 1995 the Department of Defense was on the verge of buying 50 LCMS laser blinding rifles and plannedto acquire 2,500 more. But in September 1995 it changed its policy, and in December
1995 (after the wording had been changed to accommodate US and other interests) the
U.S. signed the new Additional Protocol to the UN Convention on Prohibitions or
Restrictions on the Use of Certain Conventional Weapons Which May Be Deemed to Be
Excessively Injurious or to Have Indiscriminate Effects (“Certain Weapons Convention,” “Inhumane Weapons Convention”) of 1980. See: “Blinding Laser Weapons: The
Need to Ban a Cruel and Inhumane Weapon,” Human Rights Watch Arms Project 7, no.
1 (Sept. 1995); text of the Protocol in: “Trust and Verify,” no. 62 (London: Verification
Technology Information Centre, Nov./Dec. 1995).
7. The Biological Weapons Convention of 1972 bans any hostile use of biologicalagents, irrespective of whether the target is a living organism or equipment; Finger(note 2) is wrong in this respect. See: Altmann 1996 (note 2); Cook et al. (note 2). However, the Chemical Weapons Convention of 1992 only prohibits toxic chemicals which
can cause death, temporary incapacitation or permanent harm to humans or animals.
8. The most prominent example is the case of laser blinding weapons, use of which
fortunately has been banned in 1995, see note 6.
9. See also: B. Starr, “Non-lethal weapon puzzle for US Army,” International Defense
Review 4 (1993): 319-320.
10. Morehouse (note 2), p. 119.
11. Such assessment of new military technologies is one part of preventive arms limitations; for examples of other technologies see: J. Altmann, “Verifying Limits on
Research and Development - Case Studies: Beam Weapons, Electromagnetic Guns,” in:J. Altmann, T. Stock, J.-P. Stroot (eds.), Verification After the Cold War - Broadening theProcess (Amsterdam: VU Press, 1994).
12. Additional sources not included in the table: B. Starr, “U.S. tries to make war lesslethal,” Jane's Defence Weekly (31 Oct. 1992): 10; A. and H. Toffler, “War and Anti-War.
Survival at the Dawn of the 21st Century” (Boston etc.: Little, Brown and Co. 1993)(here: ch. 15, “War without Bloodshed?”) (quoted after the German translation: “Überleben im 21. Jahrhundert” (Stuttgart: DVA 1994)); Debban (note 4). Alexander (note 2);
J. Barry, T. Morganthau, “Soon, ‘Phasers on Stun,’” Newsweek (7 Febr. 1994): 26-28;
Kokoski (note 2); Aftergood (note 2), G. Frost, C. Shipbaugh, “GPS Targeting Methods
for Non-Lethal Systems,” Reprint RAND/RP-262 (1996) (reprinted from IEEE Plans
94); Cook et al. (note 2); Morehouse (note 2), p. 20, 119 f.; Dando (note 2), p. 11 ff; SARA
report of 10 Febr. 1995 (revised 13 Febr. 1996) and other references as reported by: W.
Arkin, “Acoustic Anti-personnel Weapons: An Inhumane Future?,” Medicine, Conflictand Survival 14, no. 4 (1997): 314-326.
13. M. Lumsden, Anti-personnel Weapons (Stockholm/London: SIPRI/Taylor&Francis
1978): 203-205.
14. “Army tests new riot weapon,” New Scientist (20 September 1973): 684; C. Ackroyd, K. Margolis, J. Rosenhead, T. Shallice, The Technology of Political Control (2nded.) (London: Pluto, 1980): 224-225. See also: R. Rodwell, “‘Squawk box’ technology,”
New Scientist (20 September 1973): 667.

Acoustic Weapons - A Prospective Assessment
15. “Non-lethality ...” (note 2).
16. V. Kiernan, “War over weapons that can't kill,” New Scientist (11. Dec. 1993): 1416.
17. Lewer/Schofield (note 2), 8 ff.
18. P. R. Evancoe, “Non-Lethal Technologies Enhance Warrior's Punch,” National
Defense (Dec. 1993): 26-29.
19. M. Tapscott, K. Atwal, “New Weapons That Win Without Killing On DOD's Horizon,” Defense Electronics (Febr. 1993): 41-46.
20. Starr (note 9).
21. “Army Prepares for Non-Lethal Combat,” Aviation Week & Space Technology (24May 1993): 62.
22. M. T. (note 5).
23. N. Broner, “The Effects of Low Frequency Noise on People - A Review,” Journal ofSound and Vibration 58, no. 4 (1993): 483-500; O. Backteman, J. Köhler, L. Sjöberg,“Infrasound - Tutorial and Review: Part 4,” Journal of Low Frequency Noise and Vibration 3, no. 2 (1984): 96-113. Broner cites: J. F. J. Johnston, Infrasound - a Short Survey(Royal Military College of Science, England, 1971). Backteman et al. have copied therespective paragraph from Broner virtually identically, leaving out two sentences andtwo references, without giving the source.
24. R. Applegate, Riot Control - Material and Techniques (Harrisburg PA: Stackpole,1969): 273.
25. Applegate (note 24), 271-273. In 1973 the British government bought 13 such systems for the use in Northern Ireland, but they seem to not have been used there. See:
Ackroyd et al. (note 14), 223-224.
26. Johnston (note 23), quoted in Broner (note 23). For the use of white noise on prisoners see also: Lumsden (note 13) and references given there.
27. “Army tests ...” (note 14); Ackroyd et al. (note 14), 224-225. See also: Rodwell (note14).
28. In a subsequent press conference, the British Army instead presented the 350-W
amplifier/speaker system (see note 24) of which 13 copies had been bought, but “forgot”
to invite the New Scientist reporter who had written the “squawk box” article, see: R.
Rodwell, “How dangerous is the Army's squawk box?,” New Scientist (27 September1973): 730.
29. Ackroyd et al. (note 14), 224-225.
30. M. Bryan, W. Tempest, “Does infrasound make drivers drunk?,” New Scientist (16March 1972): 584-586; R. Brown, “What levels of infrasound are safe?,” New Scientist(8 Nov. 1973): 414-415; H. E. von Gierke, D. E. Parker, “Infrasound,” ch. 14 in: W. D.
Keidel, W. D. Neff (eds.), “Auditory System - Clinical and Special Topics,” Handbook of
Sensory Physiology, vol. V/3 (Berlin etc.: Springer, 1976): section VII.
31. Starr (note 9).
32. Tapscott/Atwal
tbiwc.html.

(note19). Seealso: http://www.pica.army.mil/pica/products/

33. Starr (note 9). See also: http://www.sara.com/documents/future.htm. Similar infor-

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Altmannmation is provided by Tapscott/Atwal (note 19); they state that Los Alamos National
Laboratory (LANL) is involved in acoustic beams, too, whereas Starr mentions LANL
only for optical munitions and high-power microwave projectiles. A LANL brochure on
non-lethal weapons contains the latter two, but not acoustic weapons: “Special Technologies for National Security” (Los Alamos NM: Los Alamos National Laboratory,
April 1993).
34. M. T. (note 5).
35. SARA Report, 10 February 1995 (revised 13 February 1996) and other references
as reported by Arkin (note 12).
36. With infrasound, no pain or nausea was observed even up to 172 dB, see section
2.2 below. With audible sound, there was no physical trauma and damage to tissues up
to above 150 dB, see 2.3.
37. Tens of meters are more realistic, see appendix 2.
38. Note that the infrasound research seems to have been refocused recently, see: J.
Hecht, “Not a sound idea,” New Scientist, 20 March 1999, 17.
39. E.g., vertigo, nausea, and vomiting are ascribed to infrasound at 130 dB (correct:
none to 172 dB, see section 2.2.3.2 below), and a blast wave would lead to eardrum rupture at 130 dB (correct: above 185 dB, see 2.5): Kap. 3.8, see “Konzeptbeschreibungenakustischer Wirkmittel” in J. Müller et al., Nichtletale Waffen, Abschlußbericht, BandII, Dasa-VA-0040-95=OTN-035020, Daimler-Benz Aerospace, 30. 4. 1995, 307-333.
40. A. Dähn, “Angriff auf das Trommelfell”; Berliner Zeitung, 24 March 1999; K.-D.
Thiel, “Non-Lethal Weapons Activities at ICT,” in Non-Lethal Defense III (note 2), file
ict.pdf.
41. Lumsden (note 13); L. Liszka, “Sonic Beam Devices - Principles” in Expert Meetingon Certain Weapon Systems and on Implementation Mechanisms in International Law,
Geneva, 30 May - 1 June 1994, Report (Geneva: International Committee of the Red
Cross, July 1994), 89-91.
42. Arkin (note 12).
43. My subject is only sound in air. Potential underwater applications, e.g., against
divers or animals, need a separate study.
44. For transient pressure variations the level is often defined using the maximum
pressure occurring, not the rms value.
45. For a discussion of blast weapons, see Lumsden (note 13) chap. 6.
46. SARA (note 12).
47. For space reasons, in the section on effects several details and references havebeen left out. For the complete information see Altmann (note 1).
48. F. G. Hirsch, “Effects of Overpressure on the Ear - A Review,” Annals of the New
York Academy of Sciences 152(Art. 1) (1968): 147-162; W. D. Keidel, W. D. Neff (eds.),“Auditory System - Anatomy, Physiology (Ear),” in Handbook of Sensory Physiology,
vol. V/1 (Berlin etc.: Springer, 1974); Karl D. Kryter, The Effects of Noise on Man (NewYork etc.: Academic 1970; second edition 1985), ch. 1; v. Gierke/Parker (note 30); W.
Melnick, “Hearing Loss from Noise Exposure,” in C. M. Harris (ed.), Handbook of
Acoustical Measurements and Noise Control (New York etc.: McGraw-Hill, 1991) ch. 18;
W. D. Ward, “Noise-Induced Hearing Damage,” in M. M. Paparella et al. (eds.), Oto-

Acoustic Weapons - A Prospective Assessment
laryngology vol. II (3rd edition Philadelphia etc.: Saunders 1991) ch. 45; B. Berglund, P.
Hassmén, “Sources and effects of low-frequency noise,” Journal of the Acoustical Society of America 99(5) (May 1996): 2985-3002.
49. H.-G. Boenninghaus mit T. Lenarz, Hals-Nasen-Ohrenheilkunde für Studierendeder Medizin, 10. Aufl., Berlin etc.: Springer, 1996.
50. Note that PTS can accumulate over a long time even if recovery from TTS occurs
daily.
51. Note that sometimes also long-term injury comes under this heading, and damage
from short exposure is called acute acoustic trauma.
52. Loudness is measured by comparing subjective perception of tones at other frequencies with the one at 1 kHz. At 1 kHz, loudness levels in phone are defined to beequal to the respective sound pressure levels in decibels.
53. N. S. Yeowart, M. J. Evans, “Thresholds of audibility for very low-frequency puretones,” Journal of the Acoustical Society of America 55, no. 4 (April 1974): 814-818; A.
M. Small, Jr., R. S. Gales, “Hearing Characteristics,” in Harris (note 48), chap. 17. H.
Møller, J. Andresen, “Loudness of Pure Tones at Low and Infrasonic Frequencies,”
Journal of Low Frequency Noise and Vibration 3, no. 2 (1984): 78-87; Berglund/Hassmén (note 48); Melnick (note 48); H. E. von Gierke, C. W. Nixon, “Effects of Intense
Infrasound on Man,” in W. Tempest (ed.), Infrasound and Low Frequency Vibration(London etc.: Academic, 1976), ch. 6, 134; v. Gierke/Parker (note 30), 604.
54. E.g. see the sensational article “The Low-Pitched Killer - Can sounds of silence bedriving us silly” (Melbourne Sunday Press, 7 Sept. 1975), reproduced in Broner (note23); see also note 30. Within science, it is interesting what Lumsden writes about ameeting of the British Association on the Advancement of Science where the “Directorof the [British] Noise Abatement Society reported that at a research centre at
Marseille, France, an infrasound generator had been built which generated waves at 7
Hz. He said that when the machine was tested, people in range were sick for hours.
The machine could cause dizziness, nervous fatigue and ‘seasickness’ and even death
up to 8 km away (Associated Press, Leicester, England, 9 September 1972).” Lumsden(note 13), 204. This obviously refers to Gavreau's work done at Marseille, see V.
Gavreau, R. Condat, H. Saul, “Infra-Sons: Générateurs, Détecteurs, Propriétés physiques, Effets biologiques,” Acustica 17, no. 1 (1966): 1-10; V. Gavreau, “Infrasound,”Science Journal 4, no. 1 (Jan. 1968): 33-37. Note that today scientists at the same institute have some doubts about the conclusions drawn by Gavreau on the effects of infrasounds, because his experiments and observations have not been replicated andconfirmed under accurate experimental conditions. G. Canevet, Laboratoire de Mécanique et d'Acoustique CNRS, Marseille, personal communication.
55. Thus, in the determination of the capabilities of hearing much care is needed tokeep nonlinearities in sound production very low lest the externally generated harmonics at higher and better audible frequencies lead to erroneously high values.
56. With dogs and cats, less pathological damage was observed. On the other hand,thirty seconds of exposure to 172 dB infrasound did not even produce reddening in ahuman eardrum.
57. There is one documented case where at 6.5 kHz, a small rupture and blood in theexternal ear canal was observed with one experimenter after 5 minutes exposition toabout 158 dB (1.6 kPa): H. Davis, H. O. Parrack, D. H. Eldredge, “Hazards of IntenseSound and Ultrasound,” Annals of Otology, Rhinology, Laryngology 58 (1949): 732-738.

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Altmann
58. C. Mohr, J. N. Cole, E. Guild, H. E. von Gierke, “Effects of Low Frequency andInfrasonic Noise on Man,” Aerospace Medicine 36, no. 9 (1965): 817-824. Concerning
the stronger effects at low audio frequencies reported by Mohr et al., note that there
are doubts at the same laboratory today whether these were due to oil droplets in thecompressor air and not to the sound. The experiments are to be repeated in 1999. R.
McKinley, Aural Displays and Bioacoustics Branch, Air Force Research Laboratory,
Wright-Patterson Air Force Base, OH, U.S., personal communication.
59. Humans can stand quite high accelerations. In experiments with frequencies
between 1 and 25 Hz, the subjective tolerance was reached at a few times the normal
gravity acceleration (g=9.8 m/s2); subjects suffered, inter alia, from dyspnoea, chestand periumbilical pain, and sometimes gastrointestinal bleeding. However, no lasting
effects were observed.
60. If the sound pressure would affect only a part of the body surface, sideward movement and shear waves in the tissue would result with much greater energy deposition.
61. Note that for near-daily exposition of humans over 10 years to short tones, much
lower damage-limiting levels of 130 to 115 dB were estimated. For the maximum
instantaneous sound pressure occurring in an isolated event during a working day, 200
Pa (140 dB) has been given.
62. See note 57.
63. The authors described a “most unpleasant and disturbing sensation of generalinstability and weakness”; nausea, true dizziness, visual disturbances, or nystagmus
were not observed. Ear protection stopped the effect. See E. D. D. Dickson, D. L. Chadwick, “Observations on Disturbances of Equilibrium and Other Symptoms Induced by
Jet Engine Noise,” Journal of Laryngology and Otology 65 (1951): 154-165. This seems
to be the only article which reasonably reliably and completely describes the symptoms
and circumstances of equilibrium disturbances close to jet engines. Later studies ofground or flight-deck personnel do not mention equilibrium problems, even though personnel was exposed to levels up to above 140 dB, often without ear protection. Dickson/
Chadwick of 1951 was cited to the 80s.
64. Among the about 1800+450 articles produced by a Medline search for (injury or
impairment) and (sound or noise or ultrasound), or (acoustic trauma), respectively,from 1966 to 1998, I have only found four (potentially) describing injury due to tonal or
broad- or narrow-band noise of level about or above 140 dB. On the other hand, there
are many articles about damage due to impulse noise of levels of 150 dB and more, seesection 2.5 in Altmann (note 1).
65. Rats and mice were killed by overheating within minutes at audio and ultrasoundfrequencies.
66. Pulses of fast rise time and duration above 3 ms, produced at repetition rates of 630/min to no more than 100 at one exposure, would not cause excessive hearing loss in
75% of the exposed people.
67. Knocking a person down, which occurs with nuclear blasts of 0.5 to 1 s duration at
7-10 kPa overpressure (171-174 dB), see G. F. Kinney, K. J. Graham, Explosive Shocks
in Air (New York etc.: Springer, 1985), table XV, is not relevant with shock waves fromconventional explosions. Durations of conventional-explosion shock waves are only a
few ms and thus the impulse transferred, i.e., the time integral over the drag force, iscorrespondingly smaller for equal peak overpressure. Only at very close distance(below a few meters) would the impulse suffice, but here other damage (to the ear-Acoustic Weapons - A Prospective Assessment
drum, the lungs) would be more relevant, see appendix 1.
68. For this and the following examples see also: D. L. Johnson, “The Effects of HighLevel Infrasound,” in: H. Møller, P. Rubak (eds.), Conference on Low Frequency Noiseand Hearing, 7-9 May 1980, Aalborg, Denmark.
69. See Altmann (note 1), appendix A.4.
70. N. S. Yeowart, M. E. Bryan, W. Tempest, “The Monaural M.A.P. Threshold of Hearing at Frequencies from 1.5 to 100 c/s,” Journal of Sound and Vibration 6 (1967): 335342; see also: M. J. Evans, “Physiological and Psychological Effects of Infrasound atModerate Intensities,” in Tempest (note 53) chap. 5.
71. N. S. Yeowart, M. E. Bryan, W. Tempest, “Low-frequency Noise Thresholds,” Journal of Sound and Vibration 9 (1969): 447-453; see also: v. Gierke/Nixon (note 53).
72. D. L. Johnson, “Various Aspects of Infrasound,” in L. Pimonow (ed.), Colloque international sur les infra-sons (Paris: Centre National de Recherche Scientifique, 1974):
129-153, cited after: v. Gierke/Parker (note 30). Fig. 2 in v. Gierke/Nixon (note 53)
shows “piston stroke 12 cm d.a.”73. Assuming a large baffle, from equation (A-10) in: Altmann (note 1).
74. For an overview over natural sources, see T. B. Gabrielson, “Infrasound” in M. J.
Crocker (ed.), Encyclopedia of Acoustics (New York etc.: Wiley, 1997) ch. 33, and literature cited there. Note that for very slow pressure variations the Eustachian tube provides equalization of the middle-ear pressure.
75. R. D. Hill, “Thunder” in R. H. Golde (ed.), Lightning, vol. 1 (London etc.: Academic,1977) chap. 11.
76. Johnson (note 68); own calculations.
77. Backteman et al. (note 23); Berglund/Hassmén (note 48).
78. Backteman et al. (note 23).
79. Johnson (note 68); v. Gierke/Nixon (note 53).
80. From own measurements of MiG-21 and Tornado fighter-bombers, see J. Altmann,
R. Blumrich, “Acoustic and Seismic Signals during Aircraft Take-offs and Landings” (inGerman) in Fortschritte der Akustik - DAGA 94 (Bad Honnef: DPG-GmbH. 1994): 417420; R. Blumrich, Sound Propagation and Seismic Signals of Aircraft used for Airport
Monitoring - Investigations for Peace-keeping and Verification (Hagen: ISL, 1998).
81. Mohr et al. (note 58); v. Gierke/Parker (note 30).
82. v. Gierke/Nixon (note 53).
83. v. Gierke/Nixon (note 53); v. Gierke/Parker (note 30).
84. H. C. Sommer, C. W. Nixon, “Primary components of simulated air bag noise andtheir relative effects on human hearing,” Report, AMRL-TR-73-52 (Wright-Patterson
Air Force Base OH: Aerospace Medical Research Laboratory 1973), cited after: v.
Gierke/Parker (note 30), section V; Johnson (note 68).
85. H. G. Leventhall, “Man-made infrasound - its occurrence and some subjective
effects” in Pimonow (note 72), quoted after v. Gierke/Nixon (note 53).
86. For general articles on loudspeaker arrays, see the special issue of Journal of the
Audio Engineering Society Audio/Acoustics/Applications 38, no. 4 (April 1990).

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87. With layers of extremely porous, but stiff aerogels on the membrane, impedances
could match and coupling could be much improved. This possibility is also mentioned
by Finger (note 2).
88. For the efficiency figures see: B. M. Starobin, “Loudspeaker Design” in Crocker(note 74) chap. 160; see also V. Salmon, “Horns,” in Crocker (note 74) ch. 61, and literature cited there.
89. The 40° held for the 68 cm long exponential horns with combined diameter 71 cm;
there was also a 2.1 m long extension. R. C. Jones, “A Fifty Horsepower Siren,” Journalof the Acoustical Society of America 18, no. 2 (Oct. 1946): 371-387.
90. C. H. Allen, I. Rudnick, “A Powerful High Frequency Siren,” Journal of the Acoustical Society of America 19, no. 5 (Sept. 1947): 857-865; C. H. Allen, H. Frings, I. Rudnick, “Some Biological Effects of Intense High Frequency Airborne Sound,” Journal of
the Acoustical Society of America 20, no. 1 (Jan. 1948): 62-65.
91. H. O. Parrack, “Ultrasound and Industrial Medicine,” Industrial Medicine andSurgery 21, no. 4 (April 1952): 156-164.
92. J. Sabatier, “Acoustical Characterization of the Mother of All Speakers” (master's
thesis, National Center for Physical Acoustics,1993); <http://w3.arl.mil/tto/ARLDTT/FoxProdata/fac50.html>.
93. Assuming that the sound pressure is approximately equal across the 2.3 m wide
mouth, the area ratio to the equivalent 1-m-radius sphere emitting 20 kW results inabout 4.8 kW/m2 (157 dB). Spherical spreading with 1/r2 decrease of intensity can beassumed already close to the mouth. Note also that there is frequency-dependent directivity: the sound pressure decreases off the horn axis the faster, the higher the frequency (but above the frequency where the first null of (A-4) occurs the decrease is not
monotonical because of sidelobes). With a slightly smaller horn of 2.1 m diameter, at 40
Hz (ka=0.8) the intensity was still essentially the same in all directions.
94. E.g., with meter-size enlarged models of police whistles or Levavasseur whistles
196 and 37 Hz have been produced at up to about 2 kW power, more would have beenpossible with higher air flow and larger whistles. See: Gavreau et al. 1966 (note 54);
see also: Gavreau 1968 (note 54).
95. Yu. Ya. Borisov, “Acoustic Gas-Jet Generators of the Hartmann Type,” in L. D.
Rozenberg (ed.), Sources of High-Intensity Ultrasound (New York: Plenum 1969) part I;
see also Parrack 1952 (note 91); H. Kuttruff, “Physik und Technik des Ultraschalls”(Stuttgart: Hirzel, 1988): 140 f.
96. J. A. Gallego-Juarez, G. Rodriguez-Corral, L. Gaete-Garreton, “An ultrasonictransducer for high power applications in gases,” Ultrasonics 16 (November 1978): 267271.
97. According to equation (A-14) to (A-24) in Altmann (note 1).
98. J. A. Gallego-Juarez, L. Gaete-Garreton, “Experimental Study of Nonlinearity inFree Progressive Acoustic Waves in Air at 20 kHz,” 8e Symposium International sur
l'acoustique non linéaire, Journal de Physique 41, Colloque C-8, suppl. au no. 11 (Nov.
1979): C8-336 - C8-340; the total level was estimated from the levels of the individual
harmonics.
99. Altmann (note 1), appendix A.4 and fig. A.2.
100. Altmann (note 1), appendix A.4.

Acoustic Weapons - A Prospective Assessment
101. Megawatt power was mentioned by SARA (note 12).
102. Altmann (note 1), section 3.2.
103. For treatments of slightly related problems see: Y. Inoue, T. Yano, “Propagation ofstrongly nonlinear plane waves,” Journal of the Acoustical Society of America 94, no. 3
pt. 1 (Sept. 1993): 1632-1642; Y. Inoue, T. Yano, “Strongly nonlinear waves and streaming in the near field of a circular piston,” Journal of the Acoustical Society of America
99, no. 6 (June 1996): 3353-3372.
104. The DASA report discusses concepts of a 0.5 kg whistling system for hand throwing to 10-50 m (working about 30 seconds), and a 5 kg system for air-gun delivery to
300 m from a small truck (duration about 5 minutes), both producing 120 dB in 1 m at
1-10 kHz, see: Müller (note 39).
105. C. W. Nixon, E. H. Berger, “Hearing Protection Devices” ch. 21 in Harris (note 48).
For individual attenuation values, including the helmet, see J. C. Webster, P. O.
Thompson, H. R. Beitscher, Journal of the Acoustical Society of America 28, no. 4 (July
1956): 631-638.
106. G. Jansen, “Influence of High Noise Intensities on the Human Organism” (in German), Wehrmedizinische Monatsschrift no. 10 (1981): 371-379.
107. R. Moulder, “Sound-Absorptive Materials,” in Harris (note 48) chap. 30
108. For a rectangular room, half of the longest resonance wavelength equals the longest dimension. Thus, e.g., for 5 m length 34 Hz is the lowest resonance frequency.
109. There is of course a considerable body of medical literature on aural injuries andtheir treatment, see e.g.: Paparella et al. (note 48). Therapy for sub-lethal blast damage
to other organs than the ear will not be discussed here, because the ear damage will beprominent, and because the former does not come under the “acoustic” rubric.
110. Ward 1991 (note 48). See also R. Probst et al., “A Randomized, Double-blind, Placebo-controlled Study of Dextran/Pentoxifylline Medication in Acute Acoustic Trauma
and Sudden Hearing Loss,” Acta Otolaryngologica (Stockholm) 112, no. 3 (1992): 435443.
111. Ward 1991 (note 48).
112. R. H. Chait, J. Casler, J. T. Zajtchuk, “Blast Injury of the Ear: Historical Perspective,” Annals of Otology, Rhinology & Laryngology 98, no. 5 pt. 2, Suppl. 140 (May1989): 9-12; J. D. Casler, R. H. Chait, J. T. Zajtchuk, “Treatment of Blast Injury to theEar,” Annals of Otology, Rhinology & Laryngology 98, no. 5 pt. 2, Suppl. 140 (May1989): 13-16; and respective references.
113. See e.g.: A. G. Kerr, J. E. T. Byrne, “Concussive effects of bomb blasts on the ear,”
Journal of Laryngology and Otology 89, no. 2 (Febr. 1975): 131-143.
114. Papers of International Cochlear Implant, Speech and Hearing Symposium,
Annals of Otology, Rhinology & Laryngology 104, no. 9 pt. 2, Suppl. 166/ (Sept. 1995):
1-468; for acquired deafness with potential induction by noise see J. S. Thomas,“Cochlear Implantation in the Elderly,” ibid., pp. 91-93; R. K. Shepherd et al., “TheCentral Auditory System and Auditory Deprivation: Experience with Cochlear
Implants in the Congenitally Deaf,” Acta Otolaryngologica (Stockholm) Supplement532 (1997): 28-33; M. J. A. Makhdoum, A. F. M. Snik, P. van den Broek, “Cochlear
implantation: a review of the literature and the Nijmegen results,” Journal of Laryngology and Otology 111 (Nov. 1997): 1008-1017; papers of third European Symposium

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on Pediatric Cochlear Implantation, American Journal of Otology 18, no. 6 Suppl. (Nov.
1997): S1-S172.
115. Ward 1991 (note 48).
116.L. Doswald-Beck (ed.), “Blinding Weapons: Reports of the Meetings of Experts
Convened by the International Committee of the Red Cross on Battlefield Laser Weapons, 1989-1991” (Geneva: International Committee of the Red Cross 1993): 336; “Blinding laser weapons ...” (note 6): 28 ff.
117. R. M. Coupland (ed.), “The SIrUS Project - Towards a determination of which
weapons cause ‘superfluous injury or unnecessary suffering’” (Geneva: International
Committee of the Red Cross, 1997).
118. For details, see appendices A.1-A.4 of Altmann (note 1).
119. E.g.: E. Skudrzyk, The Foundations of Acoustics - Basic Mathematics and Basic
Acoustics (New York/Wien: Springer, 1971); P. M. Morse, K. U. Ingard, Theoretical
Acoustics (New York etc.: McGraw-Hill, 1968); A. D. Pierce, Acoustics - An Introduction
to Its Physical Principles and Applications (Woodbury NY: Acoustical Society of America, 1991).
120. Without the pipe, acoustic short-circuit between the front and back of the piston
would occur at low frequencies - this is the reason why loudspeakers are usuallymounted in closed boxes.
121. See also: H. Levine, J. Schwinger, “On the Radiation of Sound from an Unflanged
Circular Pipe,” Physical Review 73 (1948): 383-406.
122. See e.g.: Salmon (note 88) and literature cited there.
123. Starobin (note 88).
124. See e.g.: O. V. Rudenko, S. I. Soluyan, Theoretical Foundations of Nonlinear Acoustics (New York/London: Consultants Bureau, 1977); G. B. Whitham, Linear and Nonlinear Waves (New York etc.: Wiley, 1974); M. F. Hamilton, D. T. Blackstock (eds.),
Nonlinear Acoustics (San Diego etc.: Academic, 1998).
125. Non-linear sound propagation and the interaction with diffraction and absorption
are fields of active research. Especially for pulsed sources, there is a need for morework, see the concluding remarks of: J. N. Tjøtta, S. Tjøtta, “Nonlinear Equations ofAcoustics” in M. F. Hamilton, D. T. Blackstock (eds.), Frontiers of Nonlinear Acoustics:
Proceedings of 12th ISNA (London: Elsevier, 1990): 80-97. For on-going research, see
the series of International Symposia on Non-linear Acoustics.
126. See e.g.: Rudenko/Soluyan (note 124).
127. Ya. B. Zel’dovich, Yu. P. Raizer, Physics of Shock Waves and High-Temperature
Hydrodynamic Phenomena, vol. I (New York/London: Academic Press, 1966); Whitham(note 124); S. Glasstone, P. J. Dolan, “The Effects of Nuclear Weapons” (Washington
DC: Government Printing Office, 1977) (ch. III); Kinney/Graham (note 67).
128. W. D. Ward, W. Selters, A. Glorig, “Exploratory Studies on Temporal Threshold
Shift from Impulses,” Journal of the Acoustical Society of America 33, no. 6 (June 1961):
781-793.
129. For details, see: Altmann (note 1), section 5. and appendices A.5-A.7.
130. The detailed analysis, including estimates from 500 Hz to 10 kHz, is given in: Altmann (note 1), appendix A.5.

Acoustic Weapons - A Prospective Assessment
131. “Army tests ...” (note 14).
132. Liszka (note 41).
133. Both cases are treated in: Altmann (note 1), appendix A.6.
134. J. J. Guinan, Jr., W. T. Peake, “Middle-Ear Characteristics of Anesthetized Cats,”
Journal of the Acoustical Society of America 41, no. 5 (1967): 1237-1261. Note that intheir anesthetized animals the middle-ear muscles were relaxed so that the auralreflex reducing transmission was not working. Thus the estimate made here is evenmore conservative.
135. There is much more literature on electromagnetic and optical than on acoustic
narrow pulsed beams, and much more theoretical work than experimental. See e.g.: R.
W. Ziolkowski, “Localized transmission of electromagnetic energy,” Physical Review A
39, no. 4 (Febr. 15, 1989): 2005-2033, and references cited therein; Gang Wang, Wen
Bing Wang, “Beam characteristics of short-pulse radiation with electromagnetic missile effect,” Journal of Applied Physics 83, no. 10 (15 May 1998): 5040-5044. Note thatthe “bullet” notion is even used for a pulse “shot” through a conically expanding “rifle”:
A. Stepanishen, “Acoustic bullets/transient Bessel beams: Near to far field transition
via an impulse response approach,” Journal of the Acoustical Society of America 103,
no. 4 (April 1998): 1742-1751. For the ultrasound experiment see: R. W. Ziolkowski, D.
K. Lewis, “Verification of the localized-wave transmission effect,” Journal of Applied
Physics 68, no. 12 (15 Dec. 1990): 6083-6086.
136. E.g.: E. Infeld, G. Rowlands, Nonlinear waves, solitons and chaos (Cambridge etc.:
Cambridge University Press 1990); M. Remoissenet, “Waves Called Solitons - Concepts
and Experiments,” (Berlin etc.: Springer 1994).
137. For a discussion of non-amplitude-preserving collapsing or expanding “solitons” in
two- or three-dimensional plasma and other media, see Infeld/Rowlands (note 136),
chap. 9.
138. For vortex-ring dynamics, see: H. Lamb, Hydrodynamics (6th edition, Cambridge:
Cambridge University Press 1932), chap. VII; P. G. Saffman, Vortex Dynamics (Cambridge: Cambridge University Press 1992), chap. 10; K. Shariff, A. Leonard, “Vortex
Rings,” Annual Review of Fluid Mechanics 24 (1992): 235-279; and respective references. For experiments and theory on propagation losses see: T. Maxworthy, “The structure and stability of vortex rings,” Journal of Fluid Mechanics 51, no. 1 (1972): 15-32; T.
Maxworthy, “Turbulent vortex rings,” Journal of Fluid Mechanics 64, no. 2 (1974): 227239; T. Maxworthy, “Some experimental studies of vortex rings,” Journal of Fluid
Mechanics 81, no. 3 (1977): 465-495.
139. For a few preliminary indications see: Altmann (note 1), section 5.1.3.
140. For some information on U.S. efforts at vortex-ring weapons, see G. Lucey, L. Jasper, “Vortex Ring Generators,” in Non-Lethal Defense III (note 2), paper lucey.pdf; J.
Dering, “High Energy Toroidal Vortex for Overlapping Civilian Law Enforcement and
Military Police Operations” (ibid.), paper jd.pdf.
141. Tapscott/Atwal (note 19), p. 45.
142. Altmann (note 1), appendix A.7.
143. See e.g.: I. I. Glass, J. P. Sislian, Nonstationary Flows and Shock Waves (Oxford:
Clarendon, 1994), chap. 12.
144. Tapscott/Atwal (note 19), p. 46.

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145. Altmann (note 1), appendix A.7.
146. Lewer/Schofield (note 2), p. 12.
147. 5 mm/s is the threshold for “architectural” damage, and was discussed as safe
limit for intermittent vibrations. Residential buildings in good condition should stand10 mm/s. “Minor damage” occurs above 50-60 mm/s: A. C. Whiffin, D. R. Leonard, “Asurvey of traffic-induced vibrations,” RRL Report LR 418 (Crowthorne Berkshire: Road
Research Laboratory 1971), p. 14, table 4.
148. With grassy soil this maximum value occurs typically around several times ten
Hz; at different frequencies, it may be 5-10-fold lower. See: J. M. Sabatier et al., “Acoustically induced seismic waves,” Journal of the Acoustical Society of America 80, no. 2(1986): 646-649; Altmann/Blumrich (note 80); W. Kaiser, Sound and Vibration from
Heavy Military Vehicles - Investigations of Frequency Assignment and Wave Spreadingwith respect to Monitoring under Disarmament Treaties (Hagen: ISL, 1998).
149. “Non-lethal devices slice across science spectrum,” National Defense (October1993): 25, quoted after: Arkin (note 12).
150. Note that modern industrial buildings without plaster can stand earthquakes
with soil vibrations of 20-40 mm/s: Whiffin/Leonard (note 147).
151. Lewer/Schofield (note 2), p. 12.
152. Vomiting: “Non-lethality ...” (note 2); Evancoe (note 18); Kiernan (note 16); Morehouse (note 2). Uncontrolled defecation or diarrhoea: Kiernan (note 16), Toffler/Toffler(note 12), p. 187; bowel spasms: “Non-lethality ...” (note 2); Morehouse (note 2).
153. High audio frequencies: Allen et al. 1948 (note 90); ultrasound: Parrack 1952 (note91); H. O. Parrack, “Effect of Air-borne Ultrasound on Humans,” International Audiology 5 (1966): 294-307; W. I. Acton, M. B. Carson, “Auditory and Subjective Effects ofAirborne Noise from Industrial Infrasound Sources,” British Journal of industrial
Medicine 24 (1967): 297-304.
154. Dickson/Chadwick (note 63).
155. Parrack 1966 (note 153).
156. Mohr et al. (note 58).
157. E.g. with whole-body-exposed awake guinea pigs and monkeys: D. E. Parker,“Effects of Sound on the Vestibular System,” ch. 7 in Tempest (note 53).
158. Gavreau et al. 1966 (note 54), p. 9.
159. Mohr et al. (note 58). Note that testicular aching (a different potentially embarrassing effect) of one subject was reported here.
160. See note 157.
161. Section 5.3 in: M. J. Griffin, Handbook of Human Vibration (London etc.: Academic, 1990).
162. Lumsden (note 13), p. 203.
163. Mohr et al. (note 58).
164. SARA (note 12). For vibration-induced gastrointestinal hemorrhages, on the other
hand, see the sub-section on low-frequency vibration.