The general case of non‐normal incidence of light on a crystal exhibiting spatial dispersion is treated. The light wave will in general excite two transverse and one longitudinal polariton in the crystal. Additional boundary conditions are obtained for the three‐dimensional case by means of the Lagrange formalism. The Fresnel formulae for reflection and refraction are derived, and exciton spectra for CdS are computed. Additional structure in the reflection spectrum near the longitudinal resonance energy is obtained for non‐normal incidence when the electric field of the light wave is parallel to the plane of incidence.
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T. Skettrup (1973) studied this question.
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