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.
| Original language | English |
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| Pages (from-to) | 305-338 |
| Number of pages | 34 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 17 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1 Jan 1994 |