dorsal/arxiv
View SchemaRigorous analysis of grazing-angle scattering of electromagnetic waves in periodic gratings
| Authors | D. K. Gramotnev, T. A. Nieminen |
|---|---|
| Categories | |
| ArXiv ID | physics/0509040 |
| URL | https://arxiv.org/abs/physics/0509040 |
| DOI | 10.1016/S0030-4018(03)01304-X |
| Journal | Optics Communications 219, 33-48 (2003) |
Abstract
Grazing-angle scattering (GAS) is a type of Bragg scattering of waves in slanted non-uniform periodic gratings, when the diffracted order satisfying the Bragg condition propagates at a grazing angle with respect to the boundaries of a slab-like grating. Rigorous analysis of GAS of bulk TE electromagnetic waves is undertaken in holographic gratings by means of the enhanced T-matrix algorithm. A comparison of the rigorous and the previously developed approximate theories of GAS is carried out. A complex pattern of numerous previously unknown resonances is discovered and analysed in detail for gratings with large amplitude, for which the approximate theory fails. These resonances are associated not only with the geometry of GAS, but are also typical for wide transmitting gratings. Their dependence on grating amplitude, angles of incidence and scattering, and grating width is investigated numerically. Physical interpretation of the predicted resonances is linked to the existence and the resonant generation of special new eigenmodes of slanted gratings. Main properties of these modes and their field structure are discussed.
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"abstract": "Grazing-angle scattering (GAS) is a type of Bragg scattering of waves in\nslanted non-uniform periodic gratings, when the diffracted order satisfying the\nBragg condition propagates at a grazing angle with respect to the boundaries of\na slab-like grating. Rigorous analysis of GAS of bulk TE electromagnetic waves\nis undertaken in holographic gratings by means of the enhanced T-matrix\nalgorithm. A comparison of the rigorous and the previously developed\napproximate theories of GAS is carried out. A complex pattern of numerous\npreviously unknown resonances is discovered and analysed in detail for gratings\nwith large amplitude, for which the approximate theory fails. These resonances\nare associated not only with the geometry of GAS, but are also typical for wide\ntransmitting gratings. Their dependence on grating amplitude, angles of\nincidence and scattering, and grating width is investigated numerically.\nPhysical interpretation of the predicted resonances is linked to the existence\nand the resonant generation of special new eigenmodes of slanted gratings. Main\nproperties of these modes and their field structure are discussed.",
"arxiv_id": "physics/0509040",
"authors": [
"D. K. Gramotnev",
"T. A. Nieminen"
],
"categories": [
"physics.optics"
],
"doi": "10.1016/S0030-4018(03)01304-X",
"journal_ref": "Optics Communications 219, 33-48 (2003)",
"title": "Rigorous analysis of grazing-angle scattering of electromagnetic waves in periodic gratings",
"url": "https://arxiv.org/abs/physics/0509040"
},
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