The coupled-mode equations are solved for the case of a TEO guided wave obliquely incident upon a waveguide diffraction grating. The solution involves an approximation in which the coupling coefficient is replaced by its spatial average over one period of the grating. The angular dependence of the TE0-TE0 reflectivity of the grating exhibits a null for an angle of incidence that satisfies a relation that is reminiscent of Brewster's law.
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Dennis G. Hall (1980) studied this question.
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