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Soviet Journal of Quantum Electronics

Reception of scattered radiation by optical quantum amplifiers

V. E. Belonuchkin, N I Eskin, Stanislav M. Kozel, E P Kuznetsov, G. R. Lokshin

Published Jun 30, 1977• 1 citation
Publisher

Abstract

A theory is devloped of the propagation of a spatially random signal, resulting from the scattering of coherent radiation, through a single-pass optical quantum amplifier. Attention is drawn to the need to allow for the channeling of the radiation by the walls of a gas-discharge cell. The spatial selectivity of optical quantum amplifiers is discussed. It is shown that the optimal size of the aperture of a receiver system with a single-pass amplifier may be considerably greater than the spatial coherence radius. Estimates are obtained for the scattered-radiation gain. The theoretical conclusions are confirmed by an experimental study.

DOI
10.1070/qe1977v007n06abeh012887

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arXiv:quant-ph/9901075•Physical Review A•Nov 1, 1999•36 citations
A theory is devloped of the propagation of a spatially random signal, resulting from the scattering of coherent radiation, through a single-pass optical quantum amplifier. Attention is drawn to the need to allow for the channeling of the radiation by the walls of a gas-discharge cell. The spatial selectivity of optical quantum amplifiers is discussed. It is shown that the optimal size of the aperture of a receiver system with a single-pass amplifier may be considerably greater than the spatial coherence radius. Estimates are obtained for the scattered-radiation gain. The theoretical conclusions are confirmed by an experimental study.
An experimental investigation was made of the efficiency of a regenerative optical quantum amplifier in detection of scattered laser radiation. In agreement with theoretical estimates, the experimental results demonstrated that the average energy of the scattered field amplified in this amplifier did not exceed the energy in the spatial coherence area. The relative variance of the output signal, which was distributed exponentially under linear conditions, was close to unity and was independent of the relationship between the correlation radius of the spatially random field and the receiver aperture radius.
Conditions for the efficient detection of reflected laser radiation by means of optical quantum amplifiers are considered theoretically. It is shown that in the case of a strongly disturbed spatial coherence, there is no need to take it into account and a simple geometrical consideration is sufficient. The expressions relating the effective radius of the input aperture and the angular magnification of a projecting optical system with the laser radiation divergence and amplifier parameters are obtained. The theoretical results are confirmed by experiments.
Introduction Previous discussions (see Section 10.4) suggested that stimulated emission can be used to generate optical gain, that is, to amplify radiation. The reader certainly has experience in the amplification of electronic signal. For example, radio receivers capture faint radio waves and turn them into a signal that is powerful enough to drive large speakers. This electronic amplification increases the amplitude of the signal while faithfully preserving its acoustic frequencies and modulation characteristics. Similarly, optical amplification is expected to increase the amplitude of an optical signal while preserving its frequency, its modulation characteristics, and its coherence. The latter requirement is of particular significance for optical radiation, where the coherence of naturally occurring radiation rarely exceeds one micrometer. Lasers are the primary source for coherent radiation. They depend on stimulated emission for amplification and for the generation of coherent radiation (the word laser is the acronym of Light Amplification by Stimulated Emission of Radiation). For amplification, an atomic system that is part of the laser medium must be prepared with a sufficiently large number of particles in the excited state. (The term atomic system is used here to describe all microscopic systems including molecules and free electrons.) Radiation passing through that excited medium encounters multiple events of stimulated emission, each event contributing one photon that is added coherently to the propagating beam. When the number of events of stimulated emission exceed all losses by absorption or scattering, the incident radiation is amplified.
We examine application of optical amplification to coherent lidar for the case of a weak return signal (a number of quanta of the return optical field close to unity). We consider the option that has been explored to date, namely, incorporation of an optical amplifier operated in a linear manner located after reception of the signal and immediately prior to heterodyning and photodetection. We also consider alternative strategies where the coherent interaction, the nonlinear processes, and the amplification are not necessarily constrained to occur in the manner investigated to date. We include the complications that occur because of mechanisms that occur at the level of a few, or one, quantum excitation. Two factors combine in the work to date that limit the value of the approach. These are: (1) the weak signal tends to require operation of the amplifier in the linear regime where the important advantages of nonlinear optical processing are not accessed, (2) the linear optical amplifier has a -3dB noise figure (SN(out)/SN(in)) that necessarily degrades the signal. Some improvement is gained because the gain provided by the optical amplifier can be used to overcome losses in the heterodyned process and photodetection. The result, however, is that introduction of an optical amplifier in a well optimized coherent lidar system results in, at best, a modest improvement in signal to noise. Some improvement may also be realized on incorporating more optical components in a coherent lidar system for purely practical reasons. For example, more compact, lighter weight, components, more robust alignment, or more rapid processing may be gained. We further find that there remain a number of potentially valuable, but unexplored options offered both by the rapidly expanding base of optical technology and the recent investigation of novel nonlinear coherent interference phenomena occurring at the single quantum excitation level. Key findings are: (1) insertion of linear optical amplifiers in well optimized conventional lidar systems offers modest improvements, at best, (2) the practical advantages of optical amplifiers, especially fiber amplifiers, such as ease of alignment, compactness, efficiency, lightweight, etc., warrant further investigation for coherent lidar, (3) the possibility of more fully optical lidar systems should be explored, (4) advantages gained by use of coherent interference of optical fields at the level of one, or a few, signal quanta should be explored, (5) amplification without inversion, population trapping, and use of electromagnetic induced transparency warrant investigation in connection with coherent lidar, (6) these new findings are probably more applicable to earth related NASA work, although applications to deep space should not be excluded, and (7) our own work in the Ultrafast Laboratory at UAH along some of the above lines of investigation, may be useful.
A general theory is presented for the photodetection statistics of coherent radiation that has been amplified by a disordered medium. The beating of the coherent radiation with the spontaneous emission increases the noise above the shot-noise level. The excess noise is expressed in terms of the transmission and reflection matrices of the medium, and evaluated using the methods of random-matrix theory. Intermode scattering between N propagating modes increases the noise figure by up to a factor of N, as one approaches the laser threshold. Results are contrasted with those for an absorbing medium.