Abstract
The critical phenomenon analogy in an absorptive optical bistability system is studied. The asymptotic form of the family of potential functions for the system near threshold is obtained by using catastrophe theory. The well-known scaling hypothesis in the general homogeneous function form in critical phenomena is shown to be a characteristic of the asymptotic family. Four threshold exponents beta , delta , gamma , alpha and their four accompanied threshold amplitudes B, D, Gamma , A on both bistability and monotonic regions are estimated. The threshold exponents obey the same scaling laws as those in critical phenomena, while the threshold amplitudes obey the definite relations between exponents and amplitudes.
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