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Soviet Journal of Quantum Electronics

Propagation of a pseudorandom spatially modulated optical signal through an amplifying medium

Tatiana I. Kuznetsova

Published Jun 30, 1980• 0 citations
Publisher

Abstract

A study is made of the propagation of a light wave having a complex transverse structure in an amplifier under saturation conditions. An equation is obtained for the signal-to-noise ratio at the amplifier exit.
DOI
10.1070/qe1980v010n06abeh010276

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Paraxial Maxwell-Bloch theory is used to describe amplified spontaneous emission (ASE) in strongly inverted media. Counterpropagation of waves coupled through gain saturation and diffraction, and pumping by a laser beam which propagates transverse to the amplifier are included in the treatment. The reactive part of the medium polarization is calculated by population-rate equations in the limit of rapid dephasing of the atomic dipoles. The spontaneous emission noise source needed for the numerical simulation of Maxwell's equations is derived from microscopic theory by coarse-graining, thereby establishing the compatibility of the spherically symmetric microscopic source with paraxial propagation theory. The three coupled Maxwell equations for the counterpropagating ASE waves and the transversely propagating pump wave are solved numerically in time and two spatial dimensions. This simulation is used to calculate the longitudinal profile of the transverse fluorescence, which measures the saturation of the gain, the longitudinal profile of the transmitted pump wave, which measures the saturation of pump absorption, and the transverse coherence function of the radiation emitted from the ends of the amplifier.