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Radiophysics and Quantum Electronics

On the problem of the relationship between coherence theory and the radiation-transfer equation

G. I. Ovchinnikov, Valerian I. Tatarskii

Published Sep 1, 1972• 22 citations
Publisher
DOI
10.1007/bf01031830

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1. Nonlinear transfer theory of coherent or completly noncoherent scattering. It is well known that due to an interaction of the strong radiation field with a medium the local optical properties of the medium depend on the state of the radiation field. At RTSL a strong radiation field reduces due to the high excitation of atoms and as a result, the absorption capacity of the medium decreases (in a series of the ground state) and the effects of stimulated absorption begin to play a role (negative absorption). Then the transfer equation becomes nonlinear. Nonlinear transfer problems (NLTP) are of great importance not only in astrophysics, but also in the theory of quantum optical generators. Until the 1960s the analytical theory of NLTP was absent. Although in that period the physics of local interaction of the strong radiation field was well known. In 1963 the creation of the nonlinear theory of RTSL was undertaken by Academician V. Ambartsumian and his followers. The investigations were carried out in two basic directions: a) application of the principle of invariance (PI) of Ambartsumian to NLTP; b) development and creation of the method of self-consistent optical depths (SCOD). The basic results due to the method of SCOD were obtained. The idea of this method, which was suggested by V. Ambartsumian in 1964, was based on the possibility of exact linearization of NLTP in a homogeneous plane layer by means

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arXiv:physics/0505023•May 3, 2005•2 citations
A theoretical analysis is made of the influence of ultrasonic vibrations in a sample containing Mössbauer nuclei on the propagation of resonant gamma radiation. The problem is tackled by simultaneous solution of the Maxwell equations and equations for the density matrix. An exact solution of the problem is obtained for continuous sources and observation conditions without any restrictions on the frequency and amplitude of ultrasonic vibrations. The dependence of the absorption of gamma rays on their polarization and on the absorber thickness is derived. It is shown that the propagation of gamma radiation across a system of resonant absorbers vibrating at the same frequency but with different phases depends on the relationship between the phases and the distances between the absorbers. Experimental applications of the theory are considered.
1. Nonlinear transfer theory of coherent or completly noncoherent scattering. It is well known that due to an interaction of the strong radiation field with a medium the local optical properties of the medium depend on the state of the radiation field. At RTSL a strong radiation field reduces due to the high excitation of atoms and as a result, the absorption capacity of the medium decreases (in a series of the ground state) and the effects of stimulated absorption begin to play a role (negative absorption). Then the transfer equation becomes nonlinear. Nonlinear transfer problems (NLTP) are of great importance not only in astrophysics, but also in the theory of quantum optical generators. Until the 1960s the analytical theory of NLTP was absent. Although in that period the physics of local interaction of the strong radiation field was well known. In 1963 the creation of the nonlinear theory of RTSL was undertaken by Academician V. Ambartsumian and his followers. The investigations were carried out in two basic directions: a) application of the principle of invariance (PI) of Ambartsumian to NLTP; b) development and creation of the method of self-consistent optical depths (SCOD). The basic results due to the method of SCOD were obtained. The idea of this method, which was suggested by V. Ambartsumian in 1964, was based on the possibility of exact linearization of NLTP in a homogeneous plane layer by means