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Journal of Luminescence

General conditions for intrinsic optical bistability at atomic and molecular scale

O. Guillot-Noël, Laurent Binet, Didier Gourier

Published Dec 1, 2001• 0 citations
Publisher
DOI
10.1016/s0022-2313(01)00390-8

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A model for intrinsic optical bistability is presented in the case of systems that can be described as two weakly interacting subsystems embedded in a matrix M. This model is based on an effective spin-Hamiltonian and a semiclassical density-matrix approach. It is shown that optical bistability should occur when the interaction between the two subsystems fluctuates more rapidly than the characteristic time of the interaction. The validity of the model is demonstrated in the case of bistable electron magnetic resonance, involving real spins. It is also shown that this model provides a semiquantitative explanation of intrinsic optical bistability for Yb3+{\mathrm{Yb}}^{3+}Yb3+ pairs in CsCdBr3{\mathrm{CsCdBr}}_{3}CsCdBr3​ matrix.
\nA general model for intrinsic optical bistability is presented for\natomic or molecular systems which can be decomposed into two weakly\ninteracting subsystems. It is shown that optical bistability should\noccur when the interaction between the two subsystems fluctuates\nfaster than the characteristic time of the interaction. The validity\nof the model is demonstrated in the case of magnetic bistability of\nconduction electrons. It is extended in the infrared or visible\nrange with pairs of rare earth ions and rare earth-transition metal\nions systems.\n
A single-mode dynamic equation is obtained from the Maxwell equation with the slowly-varying amplitude approximation, and the boundary conditions of the cavity. Here the mean-field limit and the good-quality cavity case have been used. This equation is useful in describing the dynamic behavior of intrinsic optical bistable systems and/or lasers with injected signals for any kinds of materials, including two-level atoms. Furthermore, according to the linear stability analysis, a generalized instability criterion is derived.