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The exact solution of the scattering of obliquely incident plane waves by an elliptical dielectric cylinder is obtained. Each expansion coefficient of the scattered or transmitted wave is coupled to all coefficients of the series expansion for the incident wave except when the elliptical cylinder degenerates to a circular one. Both polarizations of the incident wave are considered: one with the incident electric vector in the axial direction, and the other with the incident magnetic vector in the axial direction. In the general case of oblique incidence, the scattered field contains a significant cross-polarized component which vanishes at normal incidence.
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C. Yeh (1964) studied this question.
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