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

Instability of Fabry-Perot interferometer with a multilayered paramagnetic filling

Alexey A. Vertiy, Sergiy P. Gavrilov, Sergey G. Chumachenko

Published Jul 15, 1993• 0 citations
Publisher

Abstract

The results of the analysis of the stability of stationary solutions of wave equations describing a behavior of the nonlinear Fabry-Perot interferometer with a saturated paramagnetic filling are presented in this paper. The cases when paramagnetic medium is characterized by a homogeneously and non-homogeneously broadened line of the magnetic resonance have been considered. The analysis of the stability has been conducted using the two-layer Newton- Kantorovich method. Some characteristics of the electrodynamic structure under consideration have been calculated under conditions of high and low quality of the resonance structure and the absence of frequency deviation and magnetic field. These are transmission and absorption coefficients. Areas of unstable behavior of these characteristics of the resonance structure have been found.

DOI
10.1117/12.148052

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Instability of Fabry-Perot interferometer with a multilayered paramagnetic filling

Sergey G. Chumachenko

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The results of the analysis of the stability of stationary solutions of wave equations describing a behavior of the nonlinear Fabry-Perot interferometer with a saturated paramagnetic filling are presented in this paper. The cases when paramagnetic medium is characterized by a homogeneously and non-homogeneously broadened line of the magnetic resonance have been considered. The analysis of the stability has been conducted using the two-layer Newton- Kantorovich method. Some characteristics of the electrodynamic structure under consideration have been calculated under conditions of high and low quality of the resonance structure and the absence of frequency deviation and magnetic field. These are transmission and absorption coefficients. Areas of unstable behavior of these characteristics of the resonance structure have been found.
The dynamic properties of a Fabry–Perot interferometer filled with a material exhibiting second-order dispersive nonlinearity are studied both theoretically and experimentally. The response of the medium is described by an intensity dependent phase constant as derived from self-action effects. Considering two relaxation times, that of the material and that of the cavity, the basic relations for the stability analysis and for the numerical calculations are obtained. Bistability and self-pulsing effects are predicted. Moreover, the transient behavior is characterized by anomalous switching properties like overshoot and alternate switching. The corresponding experiments performed on a nonlinear transmission line resonator confirm the theoretical results. In a final discussion, the relations to the field of nonlinear optics are outlined.
A quasi-optic resonator with a paramagnetic plane-parallel layer is considered. Stationary and non-stationary excitations of fields in such open resonator by a plane linearly polarized electromagnetic wave are studied. The dependences of the OR transmission coefficient as a nonlinear function on the magnetic component of the exciting electromagnetic field and time have been calculated assuming that magnetic susceptibility in paramagnetic is connected with the amplitude of a radio-frequency magnetic field as a nonlinear function determined from the Bloch''s equations. Bistability hysteretic phenomena and unstable operating regimes of the structure in question have been found.
In this work a theoretical study of the interaction between a light beam and an anisotropic nonlinear interferometer has been considered and methods to control the transmission of the microcavity using optical and magnetic fields have been developed. It has been demonstrated that anisotrophy of intracavity media determines the differences in transmission functions for various polarization modes and produces polarization instability. Varying spectroscopic parameters of the resonant medium and parameters of the anisotropic element, different types of intensity self-oscillations for different polarization modes can be obtained. To control the characteristics of nonlinear interferometer, it is proposed to use an additional light beam whose frequency is tuned into the absorption band from the excited level. The propagation characteristics of periodic magento-optical and dielectric multilayer films made of alternating layers of these materials having a symmetric periodicity with the center of the structure under a magnetic field is analyzed. The magnetic induction on this type of materials is temperature dependent and modifies the transmission and reflection characteristics of these structures. This kinds of structures, gives us the possibilities for an additional controlling of the characteristics of nonlinear interferometer.
Transmission characteristics of a nonlinear Fabry-Perot interferometer with two independent optical beams are considered under steady-state conditions. The sum frequency of two beams is taken to be near a two-photon resonance of the nonlinear medium. Two beams are coupled through the intensity-dependent susceptibility and influence propagation of each other in a mutual way. A set of two coupled-state equations is derived and it incorporates saturated absorption and dispersion as well as the effect of optical Stark shift. The system is found to have as many as seven stationary states, and at most, three are stable among them. The degenerate case of a single beam in two-photon resonance with the medium is also considered with particular emphasis on the effect of the optical Stark shift on optical bistability.