REQUIREMENTS OF A COHERENT LASER PULSE-DOPPLER RADAR

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DRnr`R1 r)r7t)rc nT' 'PTT)' r7777 7 202 January Approved For Release 2007/09/21: CIA-RDP81-0012OR000100060026-3 63 niagnetique causes par Ic pompage optique," Contpt. Rend. Aced. Sci., Paris, vol. 252, pp. 255-256; January 9, 1961. (36] Claude Cohen -Tannoudji, "Observation d'un deplacement de raie de resonance magnetique cause par 1'excitatiou optigno," Ci,npl. Rend. Acad..Sci., Paris, vol. 252, pp. 394- 396; January 16, 1961. "Conservation partielle de la coherence all tours du cycle de ponipage optique," Compt. Rend. Acad. Sci., Paris, vol. 253, pp. 2662-2664; December, 4, 1961. 137] P. L. Bender, private communication. [381 M. Arditi [3b], p. 187. 139] L. Malting, 15th Ann, Symp. on Frequency Control, p. 157; 1961. M. Arditi [3], p. 1962. 140] J. P. Gordon, "Ilyperline structure in the inversion spectrum of N1411;, by a new high-resolution microwave spectrometer," Phys. Rev., vol. 99, pp. 1253-1263; August 15, 1955. J. P. Gordon, II. J. Zeiger, and C. 11. Townes, "The maser- new type of microwave amplifier, frequency standard, and spectrometer," Phys. Rev., vol. 99, pp. 1264-1274; August 15, 1955. J. Weber, "Amplification of microwave radiation by substances not in thermal equilibrium, IRE TRANS. ON ELECTRON DEvicis, vol. ED-3, pp. 1-4i June, 1953. K. Shimoda, T. C. Wang, and C. H. Townes, "Further aspects of the theory of the maser," Phys. Rev., vol. 102, pp. 1.308-1321; June 1, 1956. J. I'. Wittke, "Molecular amplification and g neratiou of microwaves," PRoc. IRE, vol. 45, pp. 291-316; March, 1957. G. Troup, "Masers," Methuen and Co., Ltd., London, England; 1959. T. R. Singer, "Masers," John Wiley and Sons, Inc., New York, N. Y.; 1959. A. A. Vuylstcke, "Elements of Maser Theory," D. Van Nos- trand Company, Inc., Princeton, N. J.; 1960. [41] This idea was suggested independently by Prof. A. Kastler, ENS, Paris, Dr. P. L. Bender, NBS, Washington, D.C., and Prof. T. R. Carver and C. O. Alley, Jr., of Princeton University in 1958. [42] P. L. Bender [30], 110. [43] Norman Knable, `Maser action in optically pumped Rb87," Bull. Am. Phys. Soc., vol. 6, p. 68; February 1, 1961. [44] M. Arditi, unpublished. Requirements of a Coherent Laser Pulse-Doppler Radar* G. BIERNSONf, SENIOR MEMBER, IRE, AND R. F. LUCYt, MEMBER, IRE Summary-The use of coherent detection can theoretically allow optical radar systems employing laser transmitters to achieve con- siderably unproven receiver sensitivity, particularly in conditions of high background radiation. However, there are many practical fac- tors that can limit sensitivity in coherent optical detection, which are described. It is s' wn that to achieve an efficient coherent optical radar, one would generally like a pulse width less than 10 .sec and a spectral line width less than 10 Mc. 1. INTRODUCTION TIIE DEVELOPI4 ENT of the laser, which gen- erates a coherent light signal, provides the poten- tiality of practical optical radar systems. One of the advantages of coherent light is that it allows the beam to be very narrow. IIowever, an even more impor- tant advantage for the optical radar application is that it allows the receiver to employ coherent detection and thereby to achieve considerably greater sensitivity in daylight operation. The purpose of this paper is to describe the requirements and performance of coherent optical detection in an optical radar application, and to compare the performance with that achieved by non- coherent detection. A photodetector acts as a square-law detector, pro- viding an electrical output power proportional to the square of the input optical power. In a conventional Receiv d l euly 2. 1962. f hlicc esearch Laboratory, Sylvania Electronics System, A Division of Sylvania Electric Products, Inc., Waltham, Mass. optical receiver, the received optical signal is fed alone into the detector, and non colic rent detection is per- formed. In a coherent optical receiver, the received opti- cal signal is summed with a coherent optical reference (called the local-oscillator reference) and the summed optical signal is fed to the photodetector. The squaring process of the detector effectively multiplies the received signal and the local-oscillator reference together, and the bandwidth narrowing of the subsequent amplifier effectively integrates the resultant product. This coni- bination of multiplication and integration in coherent detection performs a cross correlation, which allows the receiver to achieve considerably greater sensitivity than one employing noncoherent detection. If the local-oscillator reference is a pure sinusoid and its power can be made arbitrarily large, the effects of background optical power and dark current in the de- tector become negligible, and the optical receiver is able to achieve detection charactcristics given by PB" QP, P,,a (hv)Af where (P,."/P,0,) is the signal-to-noise power ratio out of the receiver, Af is the receiver noise bandwidth, P, is the received optical power, Q is the quantul,, efficiency of the detector, and by is the energy per photoit (Planck's constant It times optical frequency v). Approved For Release 2007/09/21: CIA-RDP81-0012OR000100060026-3 Approved For Release 2007/09/21: CIA-RDP81-00120R000100060026-3 'Ai present, there are two optical wavelengths which are of part 'ular interest: 6943 A for the ruby laser and 11,500 A for the gas laser. At these wavelengths, the energy per photon is by = 2.85 X 10-19 joules (Ruby, 6943 A), (2) lzv = 1.72 X 10-18 joules (Gas, 11,500 A). (3) It is desirable to compare the sensitivity of a coherent optical receiver to that of a microwave receiver. For a microwave radar the expression equivalent to (1) is Pao P8 P-no KTeffLf (4) where K is Boltzman's constant and Teff is the effective noise temperature of the receiver. Thus, for unity quan- tum efficiency Q, the energy per photon by is equivalent to K7-,ff. Setting lip equal to KTeff gives the following ideal noise temperatures for optical receivers: Teff = 20,800?K (Ruby, 6943 A), (5) Teff = 11,500?K (Gas, 11,500 A). (6) Thus, even if ideal detection is achieved, an optical re- ceiver is very noisy in comparison with microwave re- ceivers. On the other hand, quantum efficiencies of photode- tectors are generally much less than unity. The best values achieved to date for photomissive surfaces at the wavelengths of the ruby and gas lasers are as follows- Q = 0.04 for Type S20 Photosurface at 6943 A, (7) Q = 1.5 X 10'1 for Type S1 Photosurface at 11,500 A. (8) The ideal noise temperatures given in (5) and (6) should be divided by these quantum efficiencies to obtain the noise temperatures now achievable with photoemissive detectors. Dividing these resultant effective noise tem- peratures by room temperature (291?K) gives the noise figures NF of the practical optical receivers, which are, NF = 32.5 db (Ruby, 9643 A), (9) NF = 54.5 db (Gas, 11,500 A). (10) These are very high in comparison to microwave re- ceivers. Semiconductor photodetectors promise quan- tum efficiencies close to unity, but now have too slow a speed of response to be generally desirable for a coherent laser receiver. This point will be discussed later. To minimize the signal required to achieve a given signal-to-noise ratio at the receiver output, (1) shows that the receiver noise bandwidth Wf should be made as small as possible. llowever there are important effects that place a lower limit on the value of Of, which are as follows: 1) Spread of spectral line due to pulsing, 2) Spread of spectral line due to lack of perfect coher- ence of the optical signal, 3) The effect of Doppler shift. The most fundamental limitation is point 1). Points 2) and 3) are discussed later. Fig. 1 shows the voltage spectrum of a signal at fre- quency Fo modulated by a rectangular pulse of width 'r. The pulse modulation smears the signal in frequency. In order to pass a reasonable amount of the pulse power, the receiver noise bandwidth Af should be at least equal to 1/r: Af ? 1/r. (11) To achieve maximum sensitivity, Af should be equal to 1/r. Set Af = 1/r in (1) and solve for P,. P8 >_ (P,o/P?o)hv/Q'r. (12) Fig. 1-Voltage spectrum of pulse-me 'ulated signal of frequency Fo and pulse width T. This equation is not strictly correct, because it ignores the loss of signal power through the filter. However, for the purpose of simplicity, this small discrepancy will be ignored. I t can readily be accounted for by specifying a somewhat larger value for the output signal-to-noise ratio P,,/P,,,, at the threshold. The received signal energy E, is equal to P,r, which by (12) is equal to the following for optimum detection: E. = (Peo/Pno)(hv)/Q. (13) If Q could be made unity, (13) shows that the number of photons (of energy hv) required for detection is ideally equal to the signal-to-noise power ratio (P8,/P,,,) re- quired at the threshold. Since the signal-to-noise ratio at the threshold must be at least 10 db, the system must receive at least 10 photons in order to achieve a reason- ably high probability of false alarm and low probability of false dismissal, for an ideal detector. With a practical photoemissive detector available today (Q=0.04) the system must receive at least 250 photons at the ruby laser frequency. If noncoherent detection is employed, the signal power that can be detected is given by the following: where P~ =effective optical noise power on detector, P4(c) =signal power detectable by coherent dett, P,tn,ol = signal power detectable by noncoherent d, tion. Approved For Release 2007/09/21: CIA-RDP81-00120R000100060026-3 204 Approved For Release 2007/09/21: CIA-RDP81-0012OR000100060026-3 The noise power P? represents the power in the back- ground radiation that falls on the detector plus the ef- iL ct of the detector dark current in terms of the equiva- Ic)~t optical power. The loss L(,,,,) produced by nonco- herent detection is P8(nc) 2P?, 2P -7 L(ne) (15) P8(e) P3(e) Es(c) where E8 is the signal energy required for coherent de- tection, which was given in (13). Eq. (15) shows that in order to minimize the loss when noncoherent detection is performed, one should 1) make the pulse length r as short as possible and 2) make the optical noise P,, as small as possible. The dark current component of noise power can be kept small by cooling the detector in liquid nitrogen. If the detector operates at night, the background optical power can be kept small. If the pulse is made very short, the loss with noncoherent detection under such conditions is small. I lowever, under daylight conditions, there is consider- able loss in sensitivity with noncoherent detection. When noncoherent detection is performed, the dark current of the photodetector is very important. how- ever, with coherent detection, the dark current can be ignored as long as its effective power is small in compari- son to the local-oscillator power. With coherent detec- tion, the quantum efficiency is the parameter that is of p-rirnarN7 importance. It may well be.that better photo- surfaces can be ache^ved in coherent-detection optical receivers by sacrificing low dark current to achieve higher quantum efficiency. 11. L,,SER RADAR DESIGN Let us now consider what is required in terms of cgnipment and egr'pment performance to realize an effective coherent laser radar. Fig. 2 gives a block diagram of a coherent laser radar. A ('\V' laser oscillator 1) generates a signal at optical fre- (Jucncy F,,. This is fed to a pulse-modulated amplifier 2) which generates a pulsed optical signal of carrier fre- quencv F '. The target echo frequency is shifted from the transmitted frequency F0 by the Doppler shift Fd, kT, and (61) becomes ap- proximately W(v) hv. (62) In contrast, ? at microwave frequencids and below, kT>>hv and (61) approximates kT: Local-Oscillator Power: The true local-oscillator fre- quency distribution is not clearly k.own at present. Consequently statements about setting the local-oscil- lator power can not be made with certainty. However, if the local oscillator is monochromatic its output power can be set much larger than the equiva- lent background power P. to reduce the effect of ran- dom noise on sensitivity. The available local oscillators, such as the helium neon laser, have output power levels of 1 to 10 mw. From Table I it can be seen that the equivalent dark current power is small relative to a milliwatt. The radiation density from background will be inte- grated by the optics. From Table II it is evident that even if the collecting area is as large as several square meters, star and moon background levels will be much less than a milliwatt. However, direct solar background will be severe and detection of the small signals will be limited against the suit. Daytime operation will de- pend upon the individual circumstances encountered. If operation is against a source surrounded by bright clouds, diffuse reflections the background level may be excessively high and the field of view would have to be narrowed to improve sensitivity. If standard photomultipliers are used for mixing, a limit is placed upon local oscillator strength and back- 9I3. NI. Olin>er, "Some potentialities of optical masers," I'uoc. IRE, vol. 50, pp. 1.35 141; l ebruary, 1962, Approved For Release 2007/09/21: CIA-RDP81-0012OR000100060026-3 (54) where R is the equivalent noise resistance of the ampli- fier, F is the noise figure, and G is the gain of the second- ary emission multipliers. Simplification of (54) yields the the signal-to-noise ratio in the photocurrent. (53) The signal-to-noise ratio becomes Pao QPs Poo hvAf Thus, to achieve the best detectability, the quantum eflicieucv of the detector should be as large as possible. I lowever, Table I shows that the quantum eIiicieucv of present photoemissive surfaces is small and that the ideal detection case cannot now be approached. 2p2 Approved For Release 2007/09/21: CIA-RDP81-0012OR000100060026-3 Januarys s ground levels by fatigue and burnout effects in the multipliers due to overloading. Desirable levels will be ;)asider P? this becomes Large Signal: When the signal power is large conpr T pared to the background power and dark curren equivalent power (65) becomes Froin the noise summary of Table III, N = 2eif[ID + PPb + PPs + PPr + PP,,,,] Poo PPs(nc) P?o 2e4f and the relationship between the coherent and nonco herent case P8(?c) = 2P8(c). (70: Zero Background: If there is no background the re-5111: sidual limiting noise is due to dark current. By cooling the photosurface the therinionic current is reduced ideally at 0?K, to Id=O. Then signal noise again limit: Ph detection and (69) and (70) apply to this case. D. Photoemissive Detectors (69The hui :r0 7u Photomultipliers: High-speed photomultipliers are`h' usable as wide-band photomixing devices. These tubes~f contain a photoemissive 'urface and several stages of. electron multiplication. The response time is limited byto a time spread introduced in the signal pulse by the elec-R tron multipliers. The spread is due to a variation rn transit time of electrons between the photoemissivele surface and the collector. The photomultiplier anode is connected in series with a load resi?tor at the input of t an amplifier following the tube. The equivalent circuit is r a constant current generator driving the load resistor and shunt capacity. Excluding the fundamental transit- time spread of the multipliers, the tube response can be limited by the time constant of the output circuit. For efficient operation, the noise due to the photo- multiplier should be greater than or equal to the noise figure of the amplifier. If GIN is the mean square noise current of the multiplier output, and FkTAf is the amplifier noise power, then GINR > FkT4f (71) wl re R is the load resistor and G the multiplier gain. hv4f Pn