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Annual Meeting Optical Society of America

Bistability in nonideal double-ring cavities

Albert T. Rosenberger, Jeong-Mee Kim

Published Jan 1, 1993• 0 citations
Publisher

Abstract

Optical bistability in double-ring cavities, in which a ring cavity containing a nonlinear medium is nested within another ring cavity, has been considered and has been shown to exhibit frustrated instabilities,1 multistability,2 and threshold and response time reduced relative to a single-ring cavity.3
DOI
10.1364/oam.1993.fll.1

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A convenient for practical use new theoretical approach describing a nonlinear frequency response of the multi-resonant nonlinear ring cavities (RC) to an intense monochromatic wave action is developed. The approach closely relates the many-valuednesses of the RC frequency response and the dispersion relation of a waveguide, from which the cavity is produced. Arising of the multistability regime in the nonlinear RC is treated. The threshold and the dynamic range of the bistability and tristability regimes for an optical ring cavity with the Kerr nonlinearity are derived and discussed.
The optical bistability and multistability behavior in a ring cavity for the four-level open atomic system, driven by two coupling fields has been analyzed. It is shown that the presence of exit rate from cavity is having a dominant effect on generating the optical bi(multi) stability on the system. It is found that the effects of the injection rates can be used to control the threshold intensity. It is also found that optical bistability can convert to optical multistability or vice versa via the effect of intensity and detuning of the coupling fields.
A ring cavity is considered containing an optical medium of current practical interest, i.e., one of which the response time is much longer than the period of the light carrier wave. It is assumed that two orthogonal polarization modes are present simultaneously and that they affect this medium incoherently, i.e., on an additive power basis. It is further assumed that all other parameters for the two modes are the same but for the detuning of the cavity. Using a phenomenological model, we show, both from a heuristically physical and a formally mathematical point of view, that a sufficient condition for jump-type instabilities is that the sum of the inverse relative differential gains for the two orthogonal modes not exceed unity.