Abstract:
A technique for measuring the unknown subsurface temperature T s  of a bulk transparent medium such as ocean water by generating a continuous (cw) laser beam and pulsed laser beam both having the same wavelength, with the intensity of the pulsed laser beam exceeding the intensity required to produce stimulated Brillouin scattering in the water. By directing the pulsed laser beam into the water, it causes a return phase-conjugate beam to emanate therefrom. The return phase-conjugate beam and the pulsed laser beam are separated, and the phase-conjugate beam and the cw beam are mixed together thereby producing a heterodyne frequency proportional to the temperature T s . By converting the heterodyne frequency into a temperature value, yields the desired unknown T s .

Description:
This invention was made with Government support under Contract No. N00014-87-C-0739 awarded by the Department of the Navy. The Government has certain rights in this invention. 
    
    
     RELATED APPLICATION 
     This application is a continuation-in-part of co-pending patent application Ser. No. 386,382, filed July 28, 1989. 
    
    
     BACKGROUND OF THE INVENTION 
     1. Field of the Invention 
     This invention relates to the remote measurement of the properties of transparent media, such as subsurface ocean temperatures profiles, and in particular to an improved method of remotely measuring such temperature profiles from surface or subsurface vessels or aircraft. 
     2. Description of the Prior Art 
     The invention described herein also relates generally to the following patent applications: 
     &#34;APPARATUS FOR AND METHOD OF REMOTELY SENSING SUB-SURFACE WATER TEMPERATURES,&#34; application Ser. No. 064,371, filed June 27, 1987 now U.S. Pat. No. 4,867,564. 
     &#34;METHOD OF REMOTELY DETECTING SUBMARINES USING A LASER,&#34; application Ser. No. 064,375, filed June 22, 1987 now U.S. Pat. No. 4,867,558. 
     &#34;REMOTE SUBSURFACE WATER TEMPERATURE MEASURING APPARATUS WITH BRILLOUIN SCATTERING,&#34; application Ser. No. 387,735, filed Aug. 1, 1989 now U.S. Pat. No. 4,948,958. 
     &#34;REMOTE SUBSURFACE WATER TEMPERATURE MEASURING APPARATUS WITH BRILLOUIN SCATTERING,&#34; application Ser. No. 386,383, filed July 28, 1989. 
     &#34;METHOD FOR OPTICALLY AND REMOTELY SENSING SUBSURFACE WATER TEMPERATURE,&#34; application Ser. No. 387,734, filed Aug. 1, 1989. 
     There are several applications for remotely sensing or measuring the temperature of a bulk transparent medium such as water. One of such application is the sounding of temperature profiles in the ocean which is useful for a variety of oceanographic purposes such as measuring the depth of the thermocline, sensing internal waves, measuring heat content of oceans for meteorological applications and mapping acoustical propagation paths sensitive to temperature gradients. Insitu temperature sensors such as thermistors, thermocouples, etc. have been used in the past for these purposes but, because they are not remote sensors, are slow and awkward. A remote sensing technique in wide use is the monitoring of thermal radiation; this technique, however, is limited to measuring predominately surface temperatures. 
     This invention is directed to an improved technique for remotely measuring temperature within, i.e., below the surface of suitable transparent media or substances, for example sea water. 
     OBJECTS AND SUMMARY OF THE INVENTION 
     A general object of the invention is the provision of a method of measuring the subsurface temperature of a transparent substance remotely and substantially instantly. 
     Another object is the provision of such a technique that has a high signal-to-noise ratio and therefore produces highly accurate measurements. 
     A further object is the provision of such a method in which the irradiance in the received return signal from the target substance is relatively high. 
     These and other objects of the invention are achieved in a technique for remotely measuring the subsurface temperature of a transparent substance by generating a continuous (cw) laser beam having a wavelength of λ 1  and a pulsed laser beam of the same wavelength but having an intensity sufficient to produce stimulated Brillouin scattering (SBS) in the medium of unknown temperature. By directing the pulsed laser beam into the medium, a return phase-conjugate beam emanates therefrom along the same line as the incident pulsed laser beam. These two beams are separated to permit mixing of the cw beam and the phase-conjugate beam which produces a heterodyne frequency proportional to the temperature T s . By converting the heterodyne frequency into a temperature value, yields the desired unknown T s . Because the cw laser beam is continuously present at the input to the photodetector, the relative spacing of the two laser beams to the photodetector is unimportant, which is not true with prior art configurations. 
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS 
     For a better understanding of the invention as well as other objects and further features thereof, reference is made to the following description which is to be read in conjunction with the accompanying drawings wherein: 
     FIG. 1 is a schematic drawing of apparatus used in the practice of the subject invention. 
     FIGS. 2A through 2F are representations of several actual heterodyne waveforms as a function of water temperature at 5° C. intervals as derived from the practice of the invention. 
     FIG. 3 is a schematic diagram illustrating an alternate embodiment of apparatus used in the practice of the subject invention. 
    
    
     DESCRIPTION OF PREFERRED EMBODIMENT 
     Referring now to the drawings, FIG. 1 illustrates temperature measuring apparatus 10 in which a pulsed laser 12 generates an intense output beam 13. Beam 13 is incident on and split by a beam splitter 14 into a first sub-beam 16 which passes through splitter 14 and a second sub-beam 17 which is reflected thereby. Sub-beam 16 passes through a lens or telescope 18 to a mirror 19 and is focussed thereby to a focal point 20 in a transparent medium 22 such as water. Telescope 18 is adjustable so as to enable adjustment of the location of focal point 20 to various selected locations or depths within medium 22 as suggested by the proximate double-headed arrow. The unknown temperature of interest, designated T s , is the temperature of medium 22 at focal point 20. 
     Sub-beam 17 propagates from splitter 14 to and is reflected by a mirror 24 along the same path back to splitter 14. The spacing of mirror 24 from splitter 14 is variable as indicated by the adjacent double-headed arrow. 
     The intensity of the pulsed output beam 13, i.e., the intensity or irradiance of the pulses from laser 12 exceeds a predetermined threshold level at which sub-beam 16 produces stimulated Brillouin scattering in cell 22 resulting in the generation of phase-conjugate or &#34;time-reversed&#34; beam whose ray runs along the same trajectory as but in opposite direction to sub-beam 16. The direction of the Pc beam is designated by the arrow 16 pc . This phenomenon, called optical phase conjugation, is well known and is described in detail in articles entitled Optical Phase Conjugation by V. V. Shkunov et al, Scientific American, pages 54-59 (September 1985) and Applications of Optical Phase Conjugation by D. M. Pepper, Scientific American, pages 74-83 (January 1986). 
     The Brillouin backscatter optical wave from a spontaneously generated phonon interacts with the probe beam and the interaction produces a traveling electric field that travels exactly at the sound velocity in the particular substance. If the light intensity is great enough and the electrostrictive coefficient of the medium is sufficiently strong, this traveling electric field will create an acoustic field which aligns itself in a column with the probe beam and the backscattered beam at the expense of scattering in other directions. Hence the collection of light is more efficient in the SBS case. 
     The presence of the induced electric field traveling at the sound velocity can be derived in the following way. Assume that an electro-magnetic wave (the probe laser) propagates in a substance in the +x direction with velocity c, then the electric field may be written as 
     
         E.sub.1 =E.sub.0 sin (ω.sub.1 t-ω.sub.1 x/c)   (1) 
    
     where, 
     E 0  = magnitude of the wave, 
     ω = frequency, and 
     t = time parameter, 
     and assume that a wave of different frequency (the Brillouin scattering) propagates in the -x direction, the electric field of which is written as, 
     
         E.sub.2 =E.sub.0 sin (ω.sub.2 t+ω.sub.2 x/c),  (2) 
    
     where, 
     ω 2  = frequency of the second wave. 
     The total electric field in their common region is ##EQU1## which can be arranged by trigonometric identities to the form ##EQU2## which is of the form of a high frequency (ω 1  -ω 2 ) signal modulated with a low frequency (ω 1  -ω 2 ) envelope. The velocity of the envelope is found by making its argument constant, i.e., 
     
         (ω.sub.1 -ω.sub.2)t-(ω.sub.1 +ω.sub.2)x/c=K. (5) 
    
     The envelope velocity is therefore ##EQU3## In the case of Brillouin scattering f 2  has been produced by Doppler shift by interacting with an acoustic wave at velocity v. The Doppler equation, namely 
     
         f.sub.2 =f.sub.1 (c-v)/(c+v),                              (7) 
    
     which when solved results in the following expression: 
     
         c=(f.sub.1 +f.sub.2)v/(f.sub.1 -f.sub.2).                  (8) 
    
     A substitution into the prior expression (6) for dx/dt yields dx/dt=v. The envelope of the composite electric field wave therefore travels exactly at the acoustic velocity. 
     In order to achieve SBS, a predetermined threshold intensity level for the optical probe beam must be exceeded. This intensity level must be sufficient so that the following relationship exists: ##EQU4## Or more simply, the intensity, I≧30/GL, where, G = a gain parameter which is a property of the medium, m/W 
     I = intensity of the optical probe beam (W/m 2 ) and, 
     L = interaction length, m, 
     see Principles of Phase Conjugation by Zel&#39;dovich et al., Springer-Verlag, Vol. 42, page 29, Springer Series on Optical Sciences (Springer Verlag Berlin Heidelberg, 1985). (For water G is typically 5×10 -11  m/W.) 
     The sound velocity in water is related to the temperature and salinity and is given in the article entitled Development of Simple Equations for Accurate and More Realistic Calculation of the Speed of Sound in Sea Water by C. C. Leroy, Journal of Acoustical Society of America, No. 216, page (1969): ##EQU5## where, T = temperature in degrees C., 
     S = salinity in parts per thousand, 
     Z = depth in meters. 
     The phase conjugate of sub-beam 16, designated 16 pc , propagates from medium 22 precisely along the path of sub-beam 16 except in the opposite direction to mirror 19 and is reflected thereby through lens 18 to splitter 14 from which it is reflected to mirror 26 and ultimately to photodetector 27, such as a photodiode. Sub-beam 17 reflected from mirror 24 passes through splitter 14 to mirror 26 and is reflected thereby to photodetector 27. It is important that the pulses comprising sub-beam 17 and the pulses comprising Pc beam 16 pc  arrive at the active mixing surface of photodetector 27 at the same time for effective heterodyning of these two signals. Since there is no optical storage mechanism, if the pulses from the two beams are not properly timed to arrive at the photodetector at substantially the same instant, the two pulses will not mix with each other. To this end, the optical spacing of both focal point 20 and mirror 24 from photodetector 27 are the same. The adjustable spacing between mirror 24 and splitter 14 accommodates this requirement. The adjustment of the location of focal point 20 in medium 22 may also be directly related to adjustment of the position of mirror 24 by means of a mechanical, electromechanical or other suitable link or connection between lens 18 and mirror 24 as indicated by the line 28 between these components. 
     A phase-conjugated beam derived from SBS has its optical frequency shifted by a frequency that produces an acoustical wavelength in the water equal to half the optical wavelength, i.e. ##EQU6## where, Δγ = the optical frequency shift, 
       v  a = the acoustic velocity in water, 
     n = the index of refraction in water, and 
     λ = the wavelength of the incident beam in a vacuum. 
     Photodetector 27 mixes sub-beam 17 and beam 16 pc  and produces at its output 29 a difference frequency that is proportional to temperature T s . This frequency may be as high as 8 GHz. In order to enable conversion of a difference frequency of this magnitude to an analog temperature value with conventional oscilloscope/recorder equipment, it is desirable to further mix photodetector output 29 to down convert the latter to a lower more manageable frequency. This is accomplished with down converter equipment enclosed within broken lines 31 and comprising a filter 32, an amplifier 33, a signal generator 34, a mixer 35, an amplifier 36 and a filter 37. HIgh-pass filter 32 rejects the basic pulse components in output 29 but preserves the SHF (super high frequency) signal. Amplifier 33 increases the signal level into double-balanced mixer 35 driven by signal generator 34. In fresh water the SH F signal is typically 7.1 to 7.5 GHz; setting the signal generator to 6550 MHz produces an IF (intermediate frequency) between 550 and 950 MHz for convenient viewing on a real time oscilloscope (39) such as Tektronix Model No. 7104. The output 38 of filter 37 is observed by scope 38, and is converted to a voltage by a wide band delay line discriminator 40 which feeds a chart recorder 41. Delay line discriminator 40 is designed to operate between 500 to 1000 MHz. 
     FIG. 2 shows a series of photographs of the display from oscilloscope 39 depicting the heterodyne waveform as a function of medium (water) temperature from 5° to 30° C. at 5° intervals. The change in frequency is clearly seen in these photographs at a high signal-to-noise ratio. 
     Referring again to FIG. 1, it is important that the pulses comprising sub-beam 17 and the pulses comprising pc beam 16 pc  arrive at the active mixing surface of photodetector 27 at the same time, since there is no optical storage mechanism. This constraint would not exist if one of the beams was continuously present at photodetector 27. Thus, an alternate approach to this temperature measurement technique that solves the pulse timing requirement is to use a continuous-wave reference beam as is shown by the apparatus of FIG. 3. The pulse laser function (laser 12 in FIG. 1) has been replaced with apparatus 12&#39;, namely, a cw &#34;seeder&#34; laser (laser 11), beam splitter 21, and pulse laser amplifier 15. Note that the pulse output beam on path 13, which is directed into transparent medium 22, is the same basic signal in both FIG. 1 and FIG. 3. Replacing the pulse laser 12 of FIG. 1 with the cw laser and pulse laser amplifier allows the cw sub-beam 9 cw  on path 17 to be mixed with the return pc beam 16 pc . More precisely, the cw laser beam on path 8 is divided by beam splitter 21, and mirror 24 directs the cw sub-beam (indicated by the cw arrows on path 17) to splitter 14 which combines the CW sub-beam with the SBS beam 16 pc  from medium 22. Since a portion of the CW sub-beam 8 drives pulse amplifier 15, the cw reference beam on path 9 cw  has the same frequency as the pulse beam used to probe the water at point 20. And since the cw portion of the combining signals on path 25 is always present, there is no need to adjust path lengths to maintain time coincidence of the pulses at photodetector 27. Such an arrangement would have particular utility in a situation where maintaining the path lengths to be the same would be difficult, such as in an airplane probing subsurface temperatures with pulse laser beam 16. 
     While the invention has been described with reference to its preferred embodiment, it will be understood by those skilled in the art that various changes may be made and equivalents may be substituted for the elements thereof without departing from the true spirit and scope of the invention. In addition, many modifications may be made to adapt a particular situation or material to the teaching of the invention without departing from its essential teaching.