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Soviet Journal of Quantum Electronics

Noise in a wavefront-reversal system with a preliminary amplifier

A. Z. Matveev, Guerman A. Pasmanik

Published Feb 28, 1984• 6 citations
Publisher

Abstract

A calculation is made of noise in a system for wavefront reversal of weak light signals, composed of a preliminary amplifier and a four-wave hypersonic reversing mirror. The constant field approximation for mirror pump waves and the assumption of the absence of wave detuning are used to determine the range of the mirror parameters in which the sensitivity of the system is close to the limit governed by the quantum noise of the amplifier.

DOI
10.1070/qe1984v014n02abeh004689

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A calculation is made of noise in a system for wavefront reversal of weak light signals, composed of a preliminary amplifier and a four-wave hypersonic reversing mirror. The constant field approximation for mirror pump waves and the assumption of the absence of wave detuning are used to determine the range of the mirror parameters in which the sensitivity of the system is close to the limit governed by the quantum noise of the amplifier.
An analysis is made of the theory of four-wave wavefront reversal allowing for linear absorption and reflection of all the interacting waves from a mirror which forms a second reference wave from the first incident wave. The Born approximation is used to find the optimum thickness of the nonlinear medium giving the maximum reversal coefficient. Conditions for parametric four-wave oscillation with an arbitrary frequency shift are determined and the dependence of the threshold intensity of the incident reference wave on the linear reflection coefficient of the wave-forming mirror is found for a given thickness of the medium in the absence of absorption.
The photodetection of weak light signals preliminary amplified in optical light amplifiers is analysed quantum-mechanically. A linear amplifier and a four-wave-mixing amplifier are considered. The parameters of the signal-to-noise ratio are calculated and analysed for light sources with various quantum-statistical properties. The signal-to-noise ratio for the detector photocurrent is studied as a function of the quantum-statistical properties of the signal and idler waves involved in amplification by using the four-wave-mixing scheme. The four-wave-mixing scheme with the idler wave in the coherent or Fock (squeezed, sub-Poisson) state has a higher signal-to-noise ratio compared to the linear preamplification regime.
A theoretical analysis is made of the conditions which a resonantly excited medium must have to act as a wavefront-reversing mirror. In the absence of saturation by the incident signal, the absorption cross section at the frequency of this signal should be considerably less than at the reversed-wave frequency. In the case of strong saturation it is preferable to use substances with narrow spectral lines. If a wavefrontreversing mirror is used to compensate distortions of the front of a wave during amplification, the necessary contrast of the reversed wave is a function of the gain and of the width of its profile.