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Soviet Journal of Quantum Electronics

Propagation of spatially inhomogeneous radiation in nonlinear resonant media

Igor' M Bel'dyugin, Michail G. Galushkin, E M Zemskov

Published Oct 31, 1983• 5 citations
Publisher

Abstract

A theoretical study is made of the influence of diffraction by self-induced amplitude gratings on propagation of spatially inhomogeneous radiation in nonlinear resonant media. Dependences of the gain and absorption, and also of the distortion of the spatial spectrum on the parameters of the medium and radiation are determined. It is shown that interfering radiation is amplified and absorbed under saturation conditions less strongly than is spatially homogeneous radiation.

DOI
10.1070/qe1983v013n10abeh004894

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A theoretical study is made of the influence of diffraction by self-induced amplitude gratings on propagation of spatially inhomogeneous radiation in nonlinear resonant media. Dependences of the gain and absorption, and also of the distortion of the spatial spectrum on the parameters of the medium and radiation are determined. It is shown that interfering radiation is amplified and absorbed under saturation conditions less strongly than is spatially homogeneous radiation.
A theoretical analysis is made of the transformation of light waves by optically induced amplitude-phase gratings of different order in a saturable absorbing medium. Allowance is made for gratings appearing; due to the absorption saturation and inhomogeneous heating of the medium. It is shown that, under certain conditions, the higher-order gratings may play a considerable role in the diffraction process. The contributions made by multistage and direct mechanisms to the n-th order diffraction are calculated. Estimates are obtained of the conditions which must be satisfied by the intensity and duration of radiation pulses, as well as by the optical properties and thickness of the absorbing medium, for these contributions to be comparable.
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Based on the equation for the second-order coherence function, the propagation of partially coherent radiation is studied under the combined action of diffraction and refraction caused by the inhomogeneous distribution of the real and imaginary parts of the perturbation of the permittivity of a medium in the case of inhomogeneous absorption (amplification). The limits of application of the method of geometrical optics for inhomogeneously absorbing (amplifying) media are studied, as well as of the methods that neglect refraction caused by the inhomogeneous distribution of the imaginary part of the permittivity of the medium.
Special features of generating a self-induced transparency in a medium with both resonant and non-resonant (Kerr-type) nonlinearities are considered. Soliton solutions of the Maxwell-Bloch equations are found, taking into account the diffraction divergence of the light beam. It is shown that solitons emerge in such a medium under conditions of two-dimensional optical beam scanning along the medium surface, and have non-coinciding propagating directions of the amplitude and phase fronts. As a necessary condition for the existence of solitons, there is a definite relationship between the scanning velocity and the parameters of the medium and radiation.
A study was made of the modulation of the coherent emission spectrum by spatial gratings of the refractive index, produced by the dye laser field in an absorbing medium inside the resonator. It was found that the frequencies of the reflection maxima of a nonlinear mirror resulting from the inhomogeneity of the refractive index along the direction of propagation of the light wave were in agreement with the frequencies satisfying the conditions for the maxima of interference reflection in the presence of an additional plane in the resonator.