This work is a sequel of the series published in Ann. Phys. 4 (1959) 283; 20 (1967) 14; 21 (1968) 12; 25 (1970) 375; 26 (1971) 103.
Article first published online: 16 MAR 2006
Copyright © 1971 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Annalen der Physik
Volume 482, Issue 3, pages 257–288, 1971
How to Cite
Lüneburg, E. and Westpfahl, K. (1971), Diffraction Theory by Means of Singular Integral Equations VI Diffraction of Plane Waves by an Infinite Strip Grating. Ann. Phys., 482: 257–288. doi: 10.1002/andp.19714820305
Dedicated to Prof. H. Hönl on his retirement.
- Issue published online: 16 MAR 2006
- Article first published online: 16 MAR 2006
- Manuscript Received: 5 FEB 1971
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.