Guided Waves by Electromagnetic Gratings and Non-Uniqueness Examples for the Diffraction Problem
april, 1994
Publication type:
Paper in peer-reviewed journals
Journal:
Mathematical Models and Methods in Applied Sciences, vol. 17(5), pp. 305-338
HAL:
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 and 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.
BibTeX:
@article{Bon-Sta-1994,
author={Anne-Sophie Bonnet-BenDhia and Felipe Starling },
title={Guided Waves by Electromagnetic Gratings and Non-Uniqueness
Examples for the Diffraction Problem },
doi={10.1002/mma.1670170502 },
journal={Mathematical Models and Methods in Applied Sciences },
year={1994 },
month={4},
volume={17(5) },
pages={305--338},
}