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Soviet Journal of Quantum Electronics

Fabry–Perot resonator with volume-distributed phase inhomogeneities

А. В. Белинский, Anatolii S Chirkin

Published May 31, 1986• 1 citation
Publisher

Abstract

The Born approximation is used to solve the problem of the influence of inhomogeneities of the refractive index of a medium filling a resonator on the resonator parameters. The attention is concentrated on finding the effective optical path (phase fluctuations) allowing for diffraction, which should give the expression for the Q factor of a resonator with an inhomogeneous medium. It is shown that diffraction has a positive influence reducing the role of distributed homogeneities and thus increasing the Q factor.

DOI
10.1070/qe1986v016n05abeh006839

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The Born approximation is used to solve the problem of the influence of inhomogeneities of the refractive index of a medium filling a resonator on the resonator parameters. The attention is concentrated on finding the effective optical path (phase fluctuations) allowing for diffraction, which should give the expression for the Q factor of a resonator with an inhomogeneous medium. It is shown that diffraction has a positive influence reducing the role of distributed homogeneities and thus increasing the Q factor.
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On the basis of a pole analysis, we derive a simple and powerful model of the nonlinear Fabry–Perot resonator. Our theory extends the modal approach, which was already developed for the nonlinear prism coupler, to the Fabry–Perot resonator for any angle of incidence. The main advantage of the modal approach is that it greatly simplifies the numerical study of transverse effects and provides a deep understanding of physical phenomena related to optical bistability. By means of a simple analysis of the equations, our model permits us to discuss the role of diffraction and the influence of the incident angle on the nonlinear Fabry–Perot behavior.