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Optics and Spectroscopy

Transformation and shift of a Gaussian light beam upon reflection from a resonant medium

Yu. F. Nasedkina, Dmitrii I. Sementsov

Published May 1, 2006• 4 citations
Publisher

Abstract

The specific features of the transformation and shift of a Gaussian beam reflected from a resonant absorbing medium are analyzed numerically. The study is based on the expansion of the field of the incident Gaussian beam into plane-wave components by using the Fourier integral transform. The calculations are performed for a frequency range covering the resonance region. The conditions for the splitting of the profile of the reflected beam and for its negative shift are established.

DOI
10.1134/s0030400x06050195

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The specific features of the transformation and shift of a Gaussian beam reflected from a resonant absorbing medium are analyzed numerically. The study is based on the expansion of the field of the incident Gaussian beam into plane-wave components by using the Fourier integral transform. The calculations are performed for a frequency range covering the resonance region. The conditions for the splitting of the profile of the reflected beam and for its negative shift are established.
The problem of transformation of the parameters of a Gaussian light beam in a nonlinear medium with a complex susceptibility is solved. The parabolic approximation for the wave equation is employed. The results obtained can be used in the design of resonators and waveguides with nonlinear components. A study is made of the influence of the complex part of a nonlinear susceptibility of a substance on the threshold conditions for the self-focusing in the case of resonant absorption in a two-level system. It is shown that in this case it is possible to expect self-focusing of radiation on the low-frequency side of an absorption line.
A theoretical investigation is reported of the influence of self-focusing of Gaussian beams on the profile of a saturated absorption resonance in laser frequency standards. An analysis is made of systems with an external nonlinearly absorbing cell and an external interferometer containing a nonlinear absorber. Analytic relationships for the profile of an asymmetric resonance and a shift of its maximum in the course of local and integral photodetection of an optical beam are derived on the assumption of weak absorption and saturation.