dorsal/arxiv
View SchemaRigorous analysis of extremely asymmetrical scattering of electromagnetic waves in slanted periodic gratings
| Authors | T. A. Nieminen, D. K. Gramotnev |
|---|---|
| Categories | |
| ArXiv ID | physics/0509042 |
| URL | https://arxiv.org/abs/physics/0509042 |
| DOI | 10.1016/S0030-4018(01)01023-9 |
| Journal | Optics Communications 189, 175-186 (2001) |
Abstract
Extremely asymmetrical scattering (EAS) is a new type of Bragg scattering in thick, slanted, periodic gratings. It is realised when the scattered wave propagates parallel to the front boundary of the grating. Its most important feature is the strong resonant increase in the scattered wave amplitude compared to the amplitude of the incident wave: the smaller the grating amplitude, the larger the amplitude of the scattered wave. In this paper, rigorous numerical analysis of EAS is carried out by means of the enhanced T-matrix algorithm. This includes investigation of harmonic generation inside and outside the grating, unusually strong edge effects, fast oscillations of the incident wave amplitude in the grating, etc. Comparison with the previously developed approximate theory is carried out. In particular, it is demonstrated that the applicability conditions for the two-wave approximation in the case of EAS are noticeably more restrictive than those for the conventional Bragg scattering. At the same time, it is shown that the approximate theory is usually highly accurate in terms of description of EAS in the most interesting cases of scattering with strong resonant increase of the scattered wave amplitude. Physical explanation of the predicted effects is presented.
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"abstract": "Extremely asymmetrical scattering (EAS) is a new type of Bragg scattering in\nthick, slanted, periodic gratings. It is realised when the scattered wave\npropagates parallel to the front boundary of the grating. Its most important\nfeature is the strong resonant increase in the scattered wave amplitude\ncompared to the amplitude of the incident wave: the smaller the grating\namplitude, the larger the amplitude of the scattered wave. In this paper,\nrigorous numerical analysis of EAS is carried out by means of the enhanced\nT-matrix algorithm. This includes investigation of harmonic generation inside\nand outside the grating, unusually strong edge effects, fast oscillations of\nthe incident wave amplitude in the grating, etc. Comparison with the previously\ndeveloped approximate theory is carried out. In particular, it is demonstrated\nthat the applicability conditions for the two-wave approximation in the case of\nEAS are noticeably more restrictive than those for the conventional Bragg\nscattering. At the same time, it is shown that the approximate theory is\nusually highly accurate in terms of description of EAS in the most interesting\ncases of scattering with strong resonant increase of the scattered wave\namplitude. Physical explanation of the predicted effects is presented.",
"arxiv_id": "physics/0509042",
"authors": [
"T. A. Nieminen",
"D. K. Gramotnev"
],
"categories": [
"physics.optics"
],
"doi": "10.1016/S0030-4018(01)01023-9",
"journal_ref": "Optics Communications 189, 175-186 (2001)",
"title": "Rigorous analysis of extremely asymmetrical scattering of electromagnetic waves in slanted periodic gratings",
"url": "https://arxiv.org/abs/physics/0509042"
},
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