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The Sommerfeld half-plane problem revisited, IV: Variations on a theme of Carlson and Heins

Heins, Albert E.; Pond, J. M.
1988-07

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Heins, A. E.; Pond, J. M. (1988)."The Sommerfeld half-plane problem revisited, IV: Variations on a theme of Carlson and Heins." Mathematical Methods in the Applied Sciences 10(3): 303-328. <http://hdl.handle.net/2027.42/50172>

Abstract

A plane wave is incident upon an infinite set of equally spaced, semi-infinite parallel and staggered plates. The boundary conditions on the plates alternate between the Dirichlet and Neumann ones. This problem is formulated as a pair of coupled Wiener-Hopf integral equations and solved by a method proposed by A. E. Heins in 1950. For the case of specular reflection, that is, a single reflected plane wave, the magnitudes of the reflection coefficient and the transmission coefficients are determined.

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John Wiley & Sons, Ltd

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0170-4214
 
1099-1476
 

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Article

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https://hdl.handle.net/2027.42/50172

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