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

Heins, A. E.; Pond, J. M.

Heins, A. E.; Pond, J. M.

1988-07

Citation: 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.

ISSN: 0170-4214, 1099-1476

Other DOI(s):
http://dx.doi.org/10.1002/mma.1670100307

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

Type(s): Article

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