Abstract

An experimental and theoretical description is given of the fields produced near dielectric slabs of finite width by nearly plane, linearly polarized, incident microwave fields. Calculations are given for semi-infinite slabs. Results are given also for a hollow wedge formed of two slabs. Calculations are based on an approximate, integral formulation, and the resulting integrals are evaluated with the method of stationary phase as well as with other approximate procedures. For a slab, the resulting fields are interpreted in terms of refracted rays and a wave originating near an edge. Transitions are described between the directly illuminated region and the region shadowed by the slab. Guided waves were found to propagate on a slab and the walls of a wedge, and empirical estimates are given of their amplitudes. The exponentially decreasing field outside a slab was obtained from the assumption that a guided wave existed in the slab; moreover, the guided wave in the slab gave additional waves, of free-space form, outside the slab.

© 1965 Optical Society of America

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Guided Waves in a Dielectric Slab, Hollow Wedge, and Hollow Cone

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J. Opt. Soc. Am. 55(3) 328-330 (1965)

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Equations (47)

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