Diffraction by, or diffusion into, a penetrable wedge
Author:
- 8 July 1999
- journal article
- Published by The Royal Society in Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- Vol. 455 (1987) , 2655-2686
Abstract
Approximate expressions are obtained for the field produced when an electromagnetic plane wave is diffracted by an arbitrary angled dielectric wedge, whose refractive index is near unity. The solution is obtained from an application of the Kontorovich–Lebedev transform and a formal Neumann–type expansion. The diffraction problem is solved by firstly solving a related wedge diffusion problem and then using analytic continuation to obtain the solution for the diffraction problem. The results have applications in diffusion and wave propagation into a wedge.Keywords
This publication has 17 references indexed in Scilit:
- The complete extension of the Biot–Tolstoy solution to the density contrast wedge with sample calculationsThe Journal of the Acoustical Society of America, 1997
- The diaphanous wedgeIEEE Transactions on Antennas and Propagation, 1997
- Scattering of an obliquely incident Rayleigh wave in an elastic quarterspaceWave Motion, 1986
- Diffraction of electromagnetic waves at a rectangular wedge structureRadiophysics and Quantum Electronics, 1984
- The Diffraction of an Acoustic Wave by an Embedded Quarter-SpaceIMA Journal of Applied Mathematics, 1982
- Diffraction of elastic waves by a rigid wedgeProceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1981
- Diffraction by a Dielectric WedgeIMA Journal of Applied Mathematics, 1977
- Diffraction by Edges and Vertices of InterfacesSIAM Journal on Applied Mathematics, 1975
- Evaluation of Distributions Useful in Kontorovich-Lebedev Transform TheorySIAM Journal on Mathematical Analysis, 1972
- Diffraction of waves by a wedgeCommunications on Pure and Applied Mathematics, 1954