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Diffraction Theory by Means of Singular Integral Equations VI Diffraction of Plane Waves by an Infinite Strip Grating
Author(s) -
Lüneburg E.,
Westpfahl K.
Publication year - 1971
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19714820305
Subject(s) - diffraction , helmholtz equation , physics , plane wave , plane (geometry) , boundary value problem , mathematical analysis , strips , integral equation , grating , helmholtz free energy , singular integral , diffraction grating , optics , mathematics , geometry , quantum mechanics , algorithm
For an infinite plane grating formed by strips and gaps of equal width, a Dirichlet boundary value problem for the Helmholtz equation is solved rigorously by function‐theoretic techniques. Plane wave excitation with an arbitrary angle of incidence is considered. The high frequency asymptotics of the solution is completely evaluated and compared with Kirchhoff's diffraction theory as well as with the asymptotics for a single strip. Extensive numerical data are laid down graphically.