An exact analytical study of the field solution involved in the scattering of a plane transverse-magnetic electromagnetic wave with a film having an intensity-dependent nonlinearity is presented here. By finding exact integrating factors, a formal solution expressed in terms of simple quadratures is derived. An explicit result for the reflection coefficient as a function of the incident intensity is presented for a Kerr medium.
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Leung et al. (1991) studied this question.
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