Wavefunctions for prisms

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Abstract
Iterative formulae are presented for the expansion coefficients for a set of basic wavefunctions due to sources situated on the plane of symmetry of a prism of arbitrary angle and refractive indox (which can be complex). The treatment applies to the diffraction of an electrically polarized wave by a dielectric wedge. The formulae are shown to be computationally convenient. The basic wavefunctions can be built up into wavefunctions due to localized sources. The analysis can be related straightforwardly to situations of technical interest if the faces of the prism are in tho far field of the source. It is suggested that the method introduced here would be useful for checking the accuracy of ray-optical techniques in the vicinity of tho apex of a prism. The method is shown to support a previous contention that free modes cannot exist in a penetrable prism.

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