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IEEE Journal of Quantum Electronics

Phonon effects on optical bistability in a two-photon resonant absorber

Isabel Gonzalo, M. A. Antón, Jose L. Escudero

Published Apr 1, 1992• 3 citations
Publisher

Abstract

Single beam two-photon optical bistability in a Fabry-Perot cavity is analyzed taking into account phonon effects. The Maxwell-Bloch equations of the system are further coupled by a term that is dependent on the electron-phonon interaction. It is shown that such an interaction can lead to a new type of optical bistability which competes with the ordinary absorptive one.>

DOI
10.1109/3.135190

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Egyptian journal of solids•Dec 31, 2007•1 citation
Single beam two-photon optical bistability in a Fabry-Perot cavity is analyzed taking into account phonon effects. The Maxwell-Bloch equations of the system are further coupled by a term that is dependent on the electron-phonon interaction. It is shown that such an interaction can lead to a new type of optical bistability which competes with the ordinary absorptive one.>
The theory of the optical multistability by two-photon resonant interaction is investigated. The nonlinear medium inside a Fabry-Perot cavity is in two-photon resonance with the laser beam. The two-photon equation of state including dynamical Stark shift and relaxation parameters is obtained and studied under mean-field approximation. The equations for both Fabry-Perot cavity and ring cavity take basically the same form. The physics mechanisms resulting in optical multistability are also studied. It has been shown that the combined effects of Kerr switching and saturation absorption switching can lead to two-photon optical double-bistability, tristability as well as bistability. Furthermore, the criterion conditions under which double-bistability or tristability can occur are given and discussed. Finally, the phase-conjugated reflectivity by two-photon four-wave mixing is also shown to exhibit multistability as well as hysteresis.
Abstract Stationary Maxwell‐Bloch equations describing saturable‐absorber‐filled Fabry‐Perot resonators are studied by the causal diagram method to bring into prominence the role of interrelations among the factors involved. The representative diagram contains three feedback loops. It is shown that cooperation of all these loops is required to produce conditions necessary for optical bistability. Similar behaviour is encountered in the case of two‐sections semiconductor injection laser. General implications are suggested.
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.
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.
In this work a theoretical model treating the optical bistability in a two state dissipative atomic medium inside a Fabry-Perot cavity is presented.The model is based on a semiclassical point of view to explain the field-matter interaction.The atoms of the medium are described by the "quantum polarization equation of motion" while the field is described by the "classical Maxwell's field equations".Applying the boundary conditions to the fields inside the Fabry-Perot cavity, the occurrence of optical bistability is deduced between the incident field intensity and both the intracavity and transmitted field intensities.Also the effect of building standing and nonstanding waves inside the cavity on bistability is discussed.