Exact analytical results for the scattering of a TE electromagnetic wave with a nonlinear thin film is derived. We assume that the incident wave is monochromatic, and that the film is nonabsorbing and has a Kerr-like optical nonlinearity. Among other things, the reflection coefficient is calculated exactly as a function of the incident intensity. Optical bistable and multistable behaviors are found. The phenomena of induced resonances and induced transparency are also discussed.
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K. M. Leung (1989) studied this question.
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