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Soviet Journal of Quantum Electronics

Dynamics of radiation generated by single-pass nonlinear amplification of noise in an optically inhomogeneous medium

Стариков Федор Алексеевич

Published Jun 30, 1992• 1 citation
Publisher

Abstract

The method of a quasioptic equation for a transverse correlation function is used in a study of single-pass amplification of radiation from a spontaneous source in an optically inhomogeneous medium which is in the form of a cylinder or a planar layer and is characterized by nonresonant losses under gain saturation conditions. Approximate analytic expressions are deduced for the power of the radiation emerging from the end and side surfaces of the active medium in the two cases of homogeneously and inhomogeneously broadened lines. The angular spectra of stimulated radiation are given. The coefficient representing the refraction losses and the problems of optimal coupling out of the energy via the side surface are discussed.

DOI
10.1070/qe1992v022n06abeh003502

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The method of a quasioptic equation for a transverse correlation function is used in a study of single-pass amplification of radiation from a spontaneous source in an optically inhomogeneous medium which is in the form of a cylinder or a planar layer and is characterized by nonresonant losses under gain saturation conditions. Approximate analytic expressions are deduced for the power of the radiation emerging from the end and side surfaces of the active medium in the two cases of homogeneously and inhomogeneously broadened lines. The angular spectra of stimulated radiation are given. The coefficient representing the refraction losses and the problems of optimal coupling out of the energy via the side surface are discussed.
The amplification of noise in a laser amplifier is treated theoretically. The model for the active medium and its description using density-matrix techniques, are taken from the theory of laser operation. The fundamental concern of this investigation is the spectral behavior of the radiation in the nonlinear regime; hence, the formalism is written from the onset in the frequency domain. The statistics of the light are gradually modified by the nonlinear amplification process, and expressions are derived for the rate of change of fluctuations in intensity as a measure of statistical changes. These expressions should be easily susceptible to detailed experimental observations. In addition, the range of validity of Litvak's Gaussian-statistics approximation is discussed with some detail. In the homogeneous-broadening case, the evolution of initially broadband Gaussian radiation toward quasimonochromatic oscillations with laserlike statistics is extensively explored in several numerical examples. The connections of this study with the time-domain work of Risken and Nummedal, on self-pulsing in a ring-laser configuration, are clearly established. Finally, spectral-narrowing and -rebroadening effects in Doppler-broadened media are discussed both analytically and with numerical examples. These examples show the distinct contribution of pulsations in the population ("Raman-type terms"), and saturation phenomena. The predicted narrowing-rebroadening rate is compared with expressions found in previous literature.
A numerical solution is given of a system of coupled quasioptic equations describing the nonlinear interaction between exciting and stimulated-Raman-scattered waves. The boundary conditions are found by solving the problem in the approximation of fixed parameters of the exciting (pump) beam. It is shown that when the threshold for the parallel stimulated scattering is exceeded, the diffraction effects limit the rise of the intensity of the radiation transmitted by a nonlinear medium when the pump power is increased.
A theoretical investigation is made of stimulated scattering of spatially inhomogeneous radiation under saturation conditions. A system of kinetic equations describing the interaction between the pump radiation and Stokes waves, correlated and uncorrelated with the exciting field, is derived and solved. A quantitative criterion is derived for the quality of wavefront reversal in the case of generation of Stokes radiation from the spontaneous noise and also in the case of a "Brillouin" amplifier.
A one-dimensional radiative transfer model is used in a study of the amplification of spontaneous radiation as a result of a population-inverted ionic transition pumped by recombination. The problem of such transfer is solved analytically in the steady-state case and it is shown that the intensities of the radiation emitted in both directions are the same irrespective of the distribution of the unsaturated gain over the length of the active medium. Numerical calculations are reported of the stage of establishment of light fluxes. It is shown that during this transient stage a nonlinear interaction between opposite light fluxes is responsible for nonmonotonic behavior of the output radiation intensity. The problem of amplification in a traveling pump wave is treated analytically.