Guided Waves by Electromagnetic Gratings and Non-Uniqueness Examples for the Diffraction Problem

Anne-Sophie Bonnet-BenDhia and Felipe Starling
april, 1994
Type de publication :
Article (revues avec comité de lecture)
Journal :
Mathematical Models and Methods in Applied Sciences, vol. 17(5), pp. 305-338
HAL :
hal-01010197
Résumé :
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},
}