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中国激光(英文版)

Pure Dispersive Optical Bistability of Four-level System in a Fabry-Perot Cavity

Ji Yin

Published Jan 1, 1995• 0 citations
OpenAlex

Abstract

The pure dispersive optical bistability for a four-level system typical of organicmedium is theoretically studied. With the method of density matrix and the theory of interference, the equation of optical bistability is obtained. The behavior of pure dispersive opticalbistability is analyzed and discussed.

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We investigate a general theory of optical bistability for a four-level system with single and triple states. Both absorptive and dispersive mechanisms are included. By solving the stable-state equation of a density matrix and using the mean-field approximation, we derive the state equation of bistability. The bistabilities with dispersion and absorption of single and triplet states, including pure dispersion and pure absorption, are numerically studied. The effects of cooperative parameters, resonant transition detuning, and cavity detuning parameters on bistable behavior are analyzed. We find that the absorption of triplet states is beneficial to dispersive bistability but is detrimental to absorptive bistability. The detuning of the resonant transition between single states is detrimental to bistability, whereas that between triplet states is beneficial to bistability. The structure of four levels with single and triplet states is a typicality of organic media. Our analysis is helpful for research into bistability devices of organic media.
The optical bistability of a four-level system with triplet-state absorption typical of organic media is studied. We derive the state equation of optical bistability with triplet-state absorption. Different bistabilities with resonant absorption or dispersion of the triplet state are numerically discussed. The effects of the cooperativity parameter and the atomic- and cavity-detuning parameters on optical bistable behavior are analyzed. It is found that the hysteresis loops decrease with an increase of both the cooperativity parameter and the atomic-detuning parameter of the triplet state and that under some conditions reverse saturable-absorptive media can display bistability.
A general theory of optical bistability for a homogeneously broadened two-level system in a Fabry-Perot interferometer is presented. Both absorptive and dispersive mechanisms are included, and in the mean-field approximation a cubic state equation is derived relating transmitted intensity to all physical parameters. From the perspective of catastrophe theory, this equation describes an elementary cusp catastrophe. We show that bistable switching may follow not only from sweeping the incident laser intensity, but also with continuous variation of atomic or cavity detuning, or atomic density, with the laser intensity fixed. For the case having incident intensity as the variable control, the domain of bistability is studied in some detail as a function of the remaining fixed parameters. Stability criteria are considered for the general case including both absorption and dispersion.
We describe a semiclassical theoretical model on two-photon optical bistability in a nonlinear Fabry-Perot cavity filled with molecules having large permanent dipole moments under the plane wave and mean field approximations. The mathematical analysis follows with the assumption of a two-level system with large permanent dipoles. In the steady state situation, field equation is shown to provide the bistable behavior of the nonlinear cavity when resonant with two-photon excitation under certain conditions. It is shown that for a large difference in permanent dipole moment\mu_{0} = (\mu_{aa}-\mu_{bb})/2between levels|a\rangleand|b\rangle, (\mu_{0}^{2}/|\mu_{ba}|^{2}\gg1, where μbais the transition dipole moment), the two-photon optical bistability can result in a submicron size Fabry-Perot cavity.