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Applied Optics

Low-intensity optical bistability in an active Fabry-Perot mirror induced by input-phase-insensitive parametric downconversion

Alessio Bosco, E. Fazio, M. Bertolotti, Crina M. Cojocaru, Jordi Martorell

Published May 20, 2002• 0 citations
Publisher

Abstract

A Fabry-Perot resonator filled with second-order nonlinear optical material is investigated. Attention is devoted to making the resonator act as a nonlinear mirror for ultralow-intensity light signals that can be switched by a control beam at the second-harmonic frequency. The interaction process is an input-phase-independent parametric downconversion. The theoretical problem is solved through implementation of a dummy variable method optimized for a parametric process. Efficient amplification and bistability of low-intensity signals have been found.

DOI
10.1364/ao.41.002935

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We study the nonlinear optical bistability and multistability of a nonlinear ferroelectric (FE) Fabry-Perot (FP) interferometer assumed coated with partial dielectric mirrors on its interfaces. The FE material is considered to have an intensity-dependent refractive index where the third order nonlinear susceptibility χ ilmn (3) acts like Kerr coefficient. The nonlinear response of the FE medium is modeled by the Landau-Khalatnikov (LK) dynamical equation. Within a single frequency approximation, the nonlinear wave equation is written in terms of polarization P rather than the electric field E as the dependent variable. The resulting nonlinear polarization equation is numerically integrated across the FP film using the fourth order Runge-Kutta method. The behavior of the resulting polarization and transmission as a function of the field input intensity is investigated.
To merge the fields of polarization and nonlinear optics opens wide perspectives. The present work aims at investigating some of them. It is shown, on one hand, that if a nonlinear Fabry- Perot resonator filled with an optically isotropic material is addressed by an obliquely incident beam, the transmitted irradiance can switch from an up to a down state (or the reverse) if its polarization is properly modulated. If on the other hand the nonlinear cavity is filled with a linearly birefringent material, polarization optical bistability can occur, even at normal incidence. This polarization bistability can arise both by modulating the incident irradiance and by modulating the incident polarization. Optical bistability of the transmitted irradiance can also be induced by the modulation of the polarization of the incident beam. All these features provide new tools for parallel digital optical information processing.
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We present numerical results relative to a bistable optical device comprised of an asymmetric Fabry-Perot cavity embedding a nonlinear optical medium. Both the real and imaginary part of the third order nonlinear susceptibility are considered in our calculations. Optimized device operation, expressed in terms of the contrast ratio between the two stable states, is then discussed as a function of the different cavity parameters. The presented method can be a useful tool for designing practical devices with application in the field of all-optical switching, optical regeneration and optical signal processing.