Abstract

For an optical bistable two-level system in a Fabry-Perot cavity we analyze the dependence of the transmitted field amplitude on three experimental parameters: the frequency of the incident radiation, the transition atomic frequency, and the length of the F.P. cavity. In each case the remaining parameters (including the input amplitude) are assumed to be fixed. Both absorptive and dispersive contributions are included, and in the mean-field approximation a cubic state equation should be solved. An explicit analytical expression for the transmitted intensity as a function of all physical parameters is obtained. Typical results are presented in graphical form. The main characteristic features of the optical hysteresis cycles are described and new possibilities for optical device design are examined. Use of the above explicit solution for stability analyses is briefly discussed.

© 1985 Optical Society of America

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