GUIDED-WAVES BY ELECTROMAGNETIC GRATINGS AND NONUNIQUENESS EXAMPLES FOR THE DIFFRACTION PROBLEM

Authors
BONNETBENDHIA AS STARLING F
Citation
As. Bonnetbendhia et F. Starling, GUIDED-WAVES BY ELECTROMAGNETIC GRATINGS AND NONUNIQUENESS EXAMPLES FOR THE DIFFRACTION PROBLEM, Mathematical methods in the applied sciences, 17(5), 1994, pp. 305-338
Citations number
19
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical methods in the applied sciences → ACNP
ISSN journal
01704214
Volume
17
Issue
5
Year of publication
1994
Pages
305 - 338
Database
ISI
SICI code
0170-4214(1994)17:5<305:GBEGAN>2.0.ZU;2-V
Abstract
We consider the two-dimensional scalar problem of the diffraction of a plane wave by an infinite grating of conducting bodies immersed in a periodical dielectric medium. A Fredholm-type formulation is derived a nd studied. The existence of a solution is proved and some uniqueness results are established. A detailed description of the guided modes of the grating is carried out. Finally, various non-uniqueness examples for the diffraction problem are exhibited.