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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Polarization self-action effects of partially polarized light in polarization inhomogeneous media

И. В. Шапочкина, Igor I. Gancheryonok, Thomas K. Dreier

Published Aug 10, 2001• 0 citations
Publisher

Abstract

On the basis of covariant approach some generalizations of the theory of polarization self-action effects in isotropic (polarization inhomogeneous) resonance media have been done. The results obtained demonstrate influence of the degree of polarization on evolution of polarization parameters of laser radiation propagating in polarization inhomogeneous media. We present new theoretical findings as well as demonstrate agreement between our results and known experimental data.

DOI
10.1117/12.435972

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On the basis of covariant approach some generalizations of the theory of polarization self-action effects in isotropic (polarization inhomogeneous) resonance media have been done. The results obtained demonstrate influence of the degree of polarization on evolution of polarization parameters of laser radiation propagating in polarization inhomogeneous media. We present new theoretical findings as well as demonstrate agreement between our results and known experimental data.
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The angular distribution and polarization of the resonance radiation are deduced for elliptically polar- ized light incident on an atomic system of arbitrary initial and intermediate total angular momenta. The incident and re-radiated light are characterized by Stokes's representation, which allows an immediate generalization to partially polarized incident radiation. The results follow closely in form those deduced for free electron (Rayleigh) scattering but give, in general, a rather smaller degree of anisotropy for the resonance radiation. The results also determine the complete correlation, in polarization and direction of propagation, of two successive quanta emitted by a radiating system
Abstract Starting from a theory in which laser operation is described as the excitation of the natural modes of an open-resonator system, the case of a Fabry-Perot resonator with plane-parallel mirrors is treated. It is shown that, in the case of weakly anisotropic mirrors, the natural modes can be grouped in pairs, such that each pair corresponds to one scalar longitudinal mode. In that case, laser operation can and will be described in terms of these longitudinal modes, which then possess a vectorial field amplitude, in agreement with the usual formalism. The polarization preference in a single-mode gas laser operating on a transition between a singlet and a triplet state is investigated, taking into account differences in the relaxation constants for the various expectation values of atomic variables. A calculation of the effect on the relaxation constants due to interatomic collisions leads to the conclusion that theory and experiment are in good agreement with each other. Equations describing the time evolution of the polarization parameters of both modes in a two-mode operating gas laser are derived. It is found as a general rule that mode-mode interaction results in modes whose polarizations are mutually orthogonal. An exception to this rule is found in the case in which the single-mode preference is for circular polarization. The influence of two specific mirror anisotropies is discussed. The polarization behaviour of a single-mode gas laser in the presence of (partly) applied, transverse magnetic fields is extensively dealt with. It appears to be essential to distinguish between the case in which the magnetic field is applied only to a fraction of the active medium and the case in which the magnetic field is uniform in the entire medium. This distinction is shown to lead to a satisfactory theoretical description of a certain class of experiments. In the case of two other experiments, good agreement with the theory is obtained, by assuming the presence of mirror anisotropies of acceptable kind and size. Finally, the influence of small anisotropies on the degree of polarization of a single-mode gas laser is theoretically investigated, when the latter is polarized by means of a strong transverse magnetic field.