Optical fibre interferometer

An optical fibre Michelson interferometer has mirrors of highly reflective coatings deposited on the ends of the fibres forming the free arms of the interferometer. The interferometer preferably comprises single mode fibres, and is operated by a frequency swept laser. The interferometer has applications in the optical fibre interferometer sensing field.

This invention relates to interferometers employing optical fibres, and to 
sensing arrangements employing such interferometers. 
Considerable interest has been shown in recent years in optical fibre 
interferometers in general, and in optical fibre interferometric sensing 
arrangements in particular, since fibre optic transducer devices can be 
readily implemented for a wide variety of applications. (See, for example, 
"Fibre Optic Sensors" by T. G. Giallorenzi, OPTICS AND LASER TECHNOLOGY, 
April 1981, pp. 73-78.) To name but a few examples, fibre optic 
transducers have been used to measure magnetic fields, temperature, 
pressure, vibration, rotation, etc. Moreover, optical fibres have many 
properties which make them highly attractive for many sensing 
applications, offering, for example, immunity to electromagnetic 
interference, low propagation loss, resistance to chemical attack, and 
small size. 
Interferometers considered for use with optical fibre, and other sensing 
devices and arrangements have frequently been interferometers with a 
Mach-Zehnder or Michelson configuration (see for example T. G. Giallorenzi 
op.cit., U.S. Pat. No. 4,322,829 (Charles M. Davis and Thomas G. 
Giallorenzi); "High-noise rejection fibre-optic probe for interferometric 
applications", M. Martinelli, OPTICS LETTERS vol. 7 (1982) Apn., Nott, New 
York; "Fibre-optic Michelson interferometer using an optical power 
divider", M. Imai et al, Optics Letters Vo. 5 (1980) October, No. 10; and 
"A high sensitivity laser vibration meter using a fibre-optic probe ", F. 
Parmigiani, OPTICAL AND QUANTUM ELECTRONICS, Vo. 10, 1978 (Short 
Communication), pp. 533-535), but other interferometer configurations have 
also been discussed in the technical literature (see, for example, 
"Flexible coherent optical probe for vibration measurements", S. Ueha et 
al, OPTICS COMMUNICATIONS, vol. 23, No. 3, December 1977, pp. 407-409; PCT 
patent application WO-A-82/04311 (Gould Inc.); and "Single Fibre 
Interferometric accoustic sensor", J. A. Bucaro et al, APPLIED OPTICS, 
vol. 17, No. 3, Feb. 1, 1978.) 
The present invention is concerned with Michelson interferometers, and with 
interferometers of similar configuration such as for example Twyman-Green 
interferometers, which will hereinafter be referred to generically as 
Michelson interferometers. 
The present invention aims to provide an improved optical fibre Michelson 
interferometer, and optical sensing apparatus incorporating an improved 
optical fibre Michelson interferometer. 
According to one aspect of the present invention, a Michelson 
interferometer comprises an optical fibre input path, an optical fibre 
return path, and two optical fibre arms coupled to the input and return 
path and having higher reflective coatings applied to their free ends. 
According to another aspect of the present invention, an interferometric 
fibre optic sensing arrangement comprises a Michelson interferometer in 
which an optical fibre reference arm and an optical fibre sensing arm are 
coupled to a fibre input path by means of an optical coupler, and in which 
mirrors at the end of the reference arm and the sensing arm are provided 
by a highly reflective coating applied to the respective fibre ends. 
Providing the mirrored ends of the reference and sensing arm by deposition 
of a highly reflective coating on the fibre ends rather than as discrete 
mirror surfaces attached to the fibre ends provides several advantages, 
among them greater ease of manufacture, decreased susceptibility to 
vibration damage, and self-protection of the mirror surfaces against 
tarnishing by virtue of the exclusion of air etc. from the mirror 
surfaces. 
The highly reflective coating may comprise dielectric or metallic material, 
chosen to provide high reflectivity at the operating wavelength of the 
interferometer. 
The optical fibres of the Michelson interferometer according to the 
invention are conveniently single mode optical fibres. 
Preferably, the interferometer is operated by a coherent light source which 
is frequency swept in the quadrature region for maximum sensitivity linear 
response. 
Light returned from the arms, i.e., in the sensing arrangement from the 
reference arm and the sensing arm, may be returned via the same fibre 
optic coupler either through the input fibre or through a separate return 
fibre or both. 
Since both the input and, where applicable, the separate return path carry 
the combined light to or from both arms, any perturbation in the input or 
the return path applies to the combined light, that is, the light 
entering, or returning, from both arms, thereby reducing the possibility 
of spurious and unwanted interference as compared to, for example, 
Mach-Zehnder interferometers.

Referring to FIG. 1, a fibre optic sensing apparatus comprises an optical 
fibre Michelson interferometer 1, a source of coherent light, a 
photodetector 3, and electronic signal processing circuitry 4. 
The Michelson interferometer 1 comprises a directional optical waveguide 
coupler 5 providing a common node to optical fibres 11, 12, 13, and 14. 
Optical fibres 11 and 12 form, respectively, the transmit arm for the 
optical output to, and the receive arm for, optical output from the 
Michelson interferometer 1, while optical fibres 13 and 14 form 
respectively the reference arm and the sensing arm of the interferometer 
1. 
The coherent light source 2 comprises a HeNe gas laser 21 operating at a 
wavelength of nominally 1.52 .mu.m in a single longitudinal mode. The rear 
mirror 22 of the HeNe laser 21 is mounted on a piezeoelectric transducer 
(PZT) 23 to permit tuning of the HeNe laser 21 by, in the present example, 
1 MHz/V in the described arrangement. A semiconductor laser, for example, 
which is suitably tunable and operates in a single mode, may replace the 
HeNe gas laser. 
The photodetector 3 is a germanium photodiode detector coupled to fibre 12, 
and has its electric output connected to electronic circuits 4. 
The reference and sensing arms 11 and 12 of the Michelson interferometer 
have mirrors 16 and 17, respectively, deposited at the free ends by the 
following method. 
The free ends of the optical fibres which are to form the reference and arm 
13 the sensing arm 14 are cleaved at the desired position, and thoroughly 
cleaned. If required the cleaved ends may also be polished, as polishing 
provides closer end angle control and enables end angles close to zero to 
be obtained. 
The fibre ends are given a final cleaning in distilled water, and are then 
immersed in a solution, at room temperature, of ammoniacal silver nitrate 
and sodium potassium tartrate. 
The solution is gently warmed by about 50.degree. C., to deposit silver on 
the fibre ends, at a rate sufficiently high for the process to be 
completed in about 5 minutes. 
The solution is prepared as follows: 
EXAMPLE 
A first solution is prepared by adding the appropriate quantity of 
distilled water to 15 g of silver nitrate (AgNO.sub.3) to obtain 150 ml of 
solution. About 50 ml of ammonium hydroxide (NH.sub.4 (OH)) solution 880 
are added a drop at a time, stirring between drops until a brown 
precipitate is formed. Finally a few more drops of ammonium hydroxide are 
added until the precipitate redesolves. 
A second solution is prepared by adding distilled water to 15 g of sodium 
potassium tartrate to make 200 ml of solution. 
The first and second solution are finally combined in a ratio of 3 to 2 
(e.g. 15 cc of the first solution to 10 cc of the second solution) and the 
solution is now ready for performing the above deposition. Great care 
should be exercised in preparing and handling the solution because of some 
danger of explosion. 
Silver mirrors thus deposited have very closely matched reflectivities, the 
reflectivity of a protected silver mirror being theoretically about 98% at 
1.52 .mu.m. With similar reflectivities for both mirrors, an end angle 
error of approximately 0.2 degrees will result in a maximum differential 
power difference between the arms 13 and 14 of about 1% at 1.52 .mu.m. 
Measurements of reflected power made on the deposited mirrors showed the 
reflectivity of the mirrors to be greater than 90%. 
It will be appreciated that mirrors formed by deposition are to a large 
extent self-protecting since the reflecting surface is surrounded by 
silver, and the mirrors are less likely to be affected by formation of, 
for example, AgS which reduces reflectivity. 
The directional coupler 5 was fabricated by a method described in, for 
example, "Monomode polarization maintaining optical fibre directional 
couplers", B. K. Nayer and D. R. Smith, OPTICS LETTERS, vol. 8, pp. 
543-545, October 1983. The method described in that paper is briefly as 
follows: A fused silica block used for embedding the optical fibre is 
assembled by sandwiching a curved fused silica sliver between two thick 
fused silica blocks, the sense of curvature being such that the resulting 
groove is shallowest at the centre of the assembled block and deepest at 
the sides. The directional coupler 5 is then realised by placing one 
assembled block on top of the other with a thin film of an index matching 
liquid between the two. The coupling between the fibres in the two blocks 
can be varied by sliding one block relative to the other to give up to 
complete transfer of power into the unexcited arm. The couplers were, in 
this instance, fabricated using circular cored fibres having core 
diameters in the 8 .mu.m to 10 .mu.m range and with core-cladding 
refractive index differences in the range 0.003 to 0.006. 
Referring now again to FIG. 1, the reference arm 13 and the sensing arm 14 
are arranged to be of unequal length to provide an optical path difference 
between the two arms. The longer fibre forms the sensing arm, and the 
interference resulting from the optical path difference can now be 
observed either in the unexcited part of the coupler 5 connected to the 
receiver arm optical fibre 12, or on the transmit arm optical fibre 11 by 
providing a tapping with a further directional coupler 7 and a further 
photodetector 8 (see also FIG. 2) as show in dotted lines in FIG. 1. 
In order to eliminate random phase fluctuations between the sense and 
reference arms, 13, 14, a piezoelectric transducer 23 is mounted on the 
rear mirror of the laser 2 to change the cavity length and hence the 
frequency of the laser 2. A reference voltage .sup.v ref is generated and 
compared with the output of pnotodetector 3 to generate an error voltage 
which is amplified in electronic circuit 4 to drive the transducer 23. 
This allows the control of the phase setting at the photodiode to be in 
quadrature, for linear operation. It should be noted that the phase 
fluctuations on the transmit and receive arms do not have any effect on 
the measurement. Using this technique, phase locking to quadrature was 
achieved, as shown in FIG. 4. The upper trace shows the amplified phase 
locked photodiode output at 50 mV/cm (scan rate is 1s/cm), where a phase 
shift of .pi. radians is equivalent to 0.3 volts. The peak-to-peak noise 
was estimated to be less than 2.5*10.sup.-4 radians. The lower trace shows 
the control voltage on the transducer, where the total drift is of the 
order of 2.pi. radians. A break in phase-locking can be seen on the trace. 
This was artificially induced to test for re-locking. 
In order to measure a physical quantity, the sensing arm contains a 
transducer arranged to vary the transmission properties, and hence the 
optical path length. For the purpose of demonstrating the operation of the 
optical fibre sensing apparatus 1, a piezoelectric transducer 18, 
connected to a signal source 19 was included in the sensing arm 14. A 
signal of 125 KHz was applied to the piezo-electric transducer by the 
signal source 19. FIG. 5 shows the resulting output. The lower trace shows 
the modulation signal on the PZT, while the upper trace shows the received 
phase modulated output at the photo-diode 3. 
A modified arrangment of the optical fibre interferometric sensing 
apparatus, which is suitable for remote sensing, is shown schematically in 
FIG. 2. This differs from the sensing apparatus of FIG. 1 by having two km 
single mode optical fibres 111 and 112 interposed between the Michelson 
interferometer 1 and the transmitter and receiver 100, and by having a 
modified transmitter and receiver 100. 
Referring now to FIG. 2, an interferometric sensing arrangement 101 
comprises an optical fibre Michelson interferometer 1, an optical fibre 
link 110 and a source and detector 100. As in FIG. 1, the optical fibre 
Michelson interferometer 1 consists of a single-mode fibre directional 
coupler 5 and arms 13 and 14, with mirrors 16 and 17 formed on the 
cleaved, free ends of both fibres 13 and 14. In the transmitter and 
receiver 100, composed of a HeNe laser light source 2 having its rear 
mirror 22 mounted on a PZT 23, and photodetectors 3 and 8, as well as 
amplifiers 41, 42 and 43, there is provided a further directional coupler 
7, whose unused output arm terminates in a mode sink 171 which serves to 
reduce reflection of the laser output back into the laser or on to the 
photo-detector 8. The receiver receives the interference pattern returned 
from the Michelson interferometer 1 both from the transmit arm 11 and the 
receiver arm 12. The interference pattern of light returned by the 
reference arm is transmitted back to the transmitter and receiver 100, 
where it is directionally coupled into photodetector 8 by directional 
coupler 7, and the interference pattern present in the receiver arm 12 is 
transmitted via fibre 112 to photodetector 3. 
Photodetectors 3 and 8 have their electrical output signals applied to the 
inputs of amplifiers 41 and 42 respectively. After amplification there the 
signals are applied to the input of an integrating comparator 43, which 
controls the PZT 23 and hence the operating frequency of the HeNe laser 2. 
A brief analysis of the fibre interferometer 11 will aid in understanding 
the subsequently described operation of the remote sensing apparatus 101. 
The fibre Michelson interferometer 1 can be analysed by determining the 
outputs at the directional coupler ports 121, 122 after the reflected 
signals from the reference arms 13 and the sense arm 14 are combined. The 
output field amplitudes of the fibre directional coupler 5 can be found 
using coupled mode theory and have been shown to be 
##EQU1## 
where A.sub.i and B.sub.i are the input field amplitudes at ports 121 and 
122 of the coupler 5 respectively, and where R and S are the output field 
amplitudes at ports 131 and 141 of the coupler 5 respectively. c is the 
coupling coefficient and is assumed to be independent of the direction of 
propagation and the input port number. L is the coupler interaction 
length. 
With only one optical input, in a Michelson interferometer, B.sub.i =0 and 
then outputs of the coupler 5 at ports 131 and 141 in absence of any 
coupler loss are given by 
EQU R=A.sub.i Cos(cL) 
EQU S=jA.sub.i Sin(cL) (2) 
The output at ports 121 and 122 can be similarly evaluated using equation 1 
and with input field amplitudes A.sub.o and B.sub.o, at ports 131 and 141 
respectively, after reflection from the mirrors 16, 17 at the fibre ends. 
These fields are given by 
EQU A.sub.o =R.sub.r .rho..sub.r Cos(cL)expj(.alpha..sup.+ .pi.) 
EQU B.sub.o =jR.sub.s .rho..sub.s Sin(cL)expj(.beta..sup.+ .pi.) (3) 
.pi..sub.r and .pi..sub.s are the reflection coefficients for the reference 
and sense arms respectively. .alpha. and .beta. are the total phase 
changes in the reference and sense arms 3 and 4 respectively. R.sub.r and 
R.sub.s are the amplitude coefficients in the reference and sense arms 13 
and 14 respectively. They differ from A.sub.i due to different losses and 
possible changes of the polarisation states in the two arms 13 and 14 of 
the interferometer. 
Output optical powers P.sub.1 and P.sub.2, at ports 121 and 122 
respectively, can then be found by taking a product of the complex field 
amplitudes at ports 121 and 122 with their respective complex conjugates 
and can be shown to be given by 
EQU P.sub.121 =1/2[4.rho..sub.r.sup.2 R.sub.r.sup.2 Cos.sup.4 
(cL)+4.rho..sub.s.sup.2 R.sub.s.sup.2 Sin.sup.4 (cL)-2.rho..sub.r 
.rho..sub.s R.sub.r R.sub.s Sin.sup.2 (2cL)Cos.delta.] 
EQU P.sub.122 =1/4[.rho..sub.r.sup.2 R.sub.r.sup.2 +.rho..sub.s.sup.2 
R.sub.s.sup.2 +2.rho..sub.r .rho..sub.s R.sub.r R.sub.s 
Cos.delta.]Sin.sup.2 (2cL) (4) 
.delta.=.alpha.-.beta. is the phase difference between the two arms. 
For 3 dB couplers it can be shown from equation 2 that we have cL=.pi./4. 
Using deposition, the mirror reflection coefficients, .rho..sub.r and 
.rho..sub.s, can be made nearly equal and for .rho.=.rho..sub.r 
=.rho..sub.s the above equations can be written in a simplified form as 
P.sub.121 =P/2[1-TCos.delta.] 
P.sub.122 =P/2[1 +TCos.delta.] (5) 
P=.rho..sup.2 R.sub.r.sup.2 (1+.epsilon..sup.2)/2 and R.sub.r =R.sub.s 
/.epsilon.. Also, power P is proportional to the input intensity 
A.sub.i.sup.2. The parameter T=2.epsilon./(1+.epsilon..sup.2) and is 
dependent on the differential power loss and polarisation effects in the 
reference and sense arms 13 and 14. In practice the differential power 
loss will be small, because of small path difference and low fibre loss, 
and T will be dependent primarily on the state of polarisation in the two 
arms 13 and 14. 
It can be seen from equation (4) that in the case of .rho..sub.r 
=.rho..sub.s and R.sub.r =R.sub.s the fringe visibility in the output port 
122 always approaches unity, irrespective of the splitting ratio of the 
coupler. For splitting ratios other than 3 dB it can be seen that the 
fringe visibility in port 121 is never unity. In the above analysis 
coupler losses have been ignored since they only affect the dynamic range. 
In the interferometer configuration used, the reference arm 13 and the 
sense arm 14 are unbalanced and incorporate an optical path length 
difference .DELTA.l, giving a phase difference, 
.delta.=2.pi..DELTA.ln.sub.e .omega./c, where .omega. is the optical 
frequency of the source, c is the speed of light in vacuum and n.sub.e is 
the effective refractive index of the mode in the optical fibre. Owing to 
environmental effects, such as changes in temperature and acoustic noise, 
there is random phase drift between the two arms giving rise to intensity 
fluctuations at the outputs. However, by varying the frequency .omega., 
the phase drift due to random variations can be cancelled. The error 
signal used to control the laser frequency can be derived from the 
difference in the signal powers P.sub.121 and P.sub.122 at ports 121 and 
122 of the coupler 5 respectively. The condition for locking is thus 
Cos.delta.=0. This condition results in maximum sensitivity in quadrature 
with .delta.=2m.pi..sup.+ .pi./2. 
Turning now to the operation of the sensing arrangement 101, the 
interferometer 1 is unbalanced with a one way optical path difference of 
2.36 m. With a total tunability of the laser of 365 MHz, this represents a 
total tracking range of approximately 36 radians. The single-mode 
directional coupler 7, inserted between the Michelson interferometer 1 and 
the laser 2, allows the signal from the interferometer 1 to be returned 
along the same fibre 111 and to be detected by the photodiode 8, on the 
input side of the coupler 7. 
To demonstrate remote operation capability, a one kilometer length of 
single-mode fibre 111 was fusion spliced between one output port of the 
couper 7 and the interferometer 1. The other port of the coupler 7 is, as 
mentioned before, terminated at a mode sink 171. The return fibre 12 at 
port 121 of the interferometer 1 is also extended by one kilometer of 
single-mode fibre, 112, to a photodiode of photodetector 3. Signals from 
the photodiodes 3 and 8 are amplified by amplifiers 41 and 42 and fed to 
an integrating comparator, 43. The output of this comparator 43 closes the 
feedback loop to the piezo-electric transducer, PZT 23, on the rear mirror 
22 of the laser 2. 
The sense arm 14 of the interferometer was wrapped ten times round a PZT 
cylinder (see FIG. 1) and was used to simulate acoustic signals in the 
manner previously described. 
The sensing arrangement is found to lock at some arbitrary point on the 
returned interferometric signals, depending on the reflectivities of the 
mirrors 16 and 17, the splitting ratios of the couplers 5 and 7, the loss 
in the fibres and the gain of the amplifers 41 and 42. As has already been 
stated, the reflectivities of the two mirrors 6 and 7 can be closely 
matched. The two couplers 7 and 5 are set to give a 3-dB splitting ratio 
and the amplifier gains 41 and 42 adjusted to give the same signal level 
at the input of the comparator 43, in order to compensate for differential 
losses in the arms. This is easily achieved by modulating a PZT (not 
shown) provided on the reference arm to produce a phase change of .pi. 
radians and equalising the peak amplitudes at the output of the 
amplifiers. The interferometer is then locked in quadrature. 
To demonstrate the locking capability of the interferometer, the PZT 23 on 
the rear mirror 22 of the laser 2 was modulated by a low level ac signal 
at 1 KHz. FIG. 6 shows an output of an electric spectrum analyser used as 
a narrow band detector, with the upper trace showing the effect of locking 
when the feedback loop is closed. The signal level remains constant over 
the measurement period (1 sec/div). From the measurement of noise in the 
interferometer, it was estimated that the minimum detectable signal level 
(SNR=1) within a 100 Hz bandwidth at 1 KHz was below 10.sup.-4 radians for 
the sensor operating at the end one kilometer of fibre. Occasionally, the 
interferometer would unlock as the total phase change induced by 
temperature fluctuations exceeded the available tracking range of the 
control loop of approximately 36 radians. 
To show the effects of amplitude fluctuations due to random drifts, the 
feedback loop was broken. This is shown in the lower trace in FIG. 6. The 
total intensity excursions of the order of approximately 50 dB can be 
seen. 
As in the case of the sensing apparatus of FIG. 1, the detection of an 
acoustic signal was simulated by modulating a PZT cylinder (not shown in 
FIG. 2) in the sense arm 14. With the interferometer locked in quadrature, 
a 1 KHz triangular wave modulation was applied to the PZT cylinder. A 
photograph of the output is shown in FIG. 7, where the lower trace shows 
the modulation signal on the PZT cylinder while the upper trace shows the 
received phase modulated output. To demonstrate near unity visibility, the 
PZT cylinder was overdriven with a 1 KHz ac modulation, A photograph of 
the output at port 122 is shown in FIG. 8, where the signal shows slight 
clipping to indicate the maximum and minimum of the interferogram. The 
optical input to the interferometer was then switched off. It can be seen 
in the photograph by coincidence of the minimum of the interferogram with 
the remaining dc level, that the fringe visibility is near unity. This was 
for an arbitrary setting of coupler 5 and holds true for all splitting 
ratios. 
Quadrature locking using two detector photodiodes was described above with 
reference to FIG. 2. However, it is also possible to achieve quadrature 
locking of the modified Michelson interferometric sensing arrangement 
shown in FIG. 3, which differs from that of FIG. 2 mainly by using the 
same interferometer port 121 for both forward and return light 
transmission, and by using a detector circuit 244 to enable locking to any 
point of the interferogram. The detector circuit 244 essentially consists 
of a signal generator to apply periodic variations to the PZT 23, and 
hence modulate the laser frequency, and a comparator compares the output 
signal of the signal generator with the modulated return signal to derive 
a feedback signal which is summed with the signal generator output signal 
applied to the PZT 23. 
Although, as previously explained, using the port 1 for the return signal 
may, unless the power splitting ratio is exactly 3 dB, carry some penalty 
in fringe visibility, the advantage of the arrangement of FIG. 3 is that 
only a single fibre is required to connect the source and detector 200 to 
the interferometer 1. 
It will be readily apparent to the skilled reader that the above described 
sensing arrangements may be modified by replacing the H.sub.e N.sub.e 
laser with a semiconductor or other tunable laser of suitable linewidth. 
Also, in the case where only three of the four ports of the fibre-optic X 
couplers are used the four-port couplers may be replaced by three-port or 
Y couplers. 
Moreover, the skilled reader will readily appreciate that deposition 
methods other than from liquid solution, e.g. chemical vapour deposition, 
or sputtering, may be employed for the formation of the mirrors. 
Applications of the present invention also include, for example, 
hydrophones where it may be desirable not to have any submersible power 
feed or electronics, allowing signal detection and processing to be 
carried out at the source end.