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Diffraction by an acoustically transmissive or an electromagnetically dielectric half‐plane
Author(s) -
Rawlins A. D.,
Meister E.,
Speck F. O.
Publication year - 1991
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670140603
Subject(s) - diffraction , boundary value problem , dielectric , mathematics , plane (geometry) , mathematical analysis , boundary (topology) , optics , geometry , physics , quantum mechanics
This work gives a mathematical model for an acoustically penetrable or electromagnetically dielectric half‐plane. An approximate boundary condition is used that depends on the thickness of, and the material constants for, the half‐plane. A solution is obtained, by using the approximate boundary condition, for the problem of a line source field diffracted by a penetrable/dielectric half‐plane. The asymmetry of the approximate boundary condition results in a matrix Wiener–Hopf problem, which is solved explicitly.