dorsal/arxiv
View SchemaExtremely asymmetrical scattering in gratings with varying mean structural parameters
| Authors | D. K. Gramotnev, T. A. Nieminen, T. A. Hopper |
|---|---|
| Categories | |
| ArXiv ID | physics/0509049 |
| URL | https://arxiv.org/abs/physics/0509049 |
| DOI | 10.1080/09500340110109403 |
| Journal | Journal of Modern Optics 49(9), 1567-1585 (2002) |
Abstract
Extremely asymmetrical scattering (EAS) is an unusual type of Bragg scattering in slanted periodic gratings with the scattered wave (the +1 diffracted order) propagating parallel to the grating boundaries. Here, a unique and strong sensitivity of EAS to small stepwise variations of mean structural parameters at the grating boundaries is predicted theoretically (by means of approximate and rigorous analyses) for bulk TE electromagnetic waves and slab optical modes of arbitrary polarization in holographic (for bulk waves) and corrugation (for slab modes) gratings. The predicted effects are explained using one of the main physical reasons for EAS--the diffractional divergence of the scattered wave (similar to divergence of a laser beam). The approximate method of analysis is based on this understanding of the role of the divergence of the scattered wave, while the rigorous analysis uses the enhanced T-matrix algorithm. The effect of small and large stepwise variations of the mean permittivity at the grating boundaries is analysed. Two distinctly different and unusual patterns of EAS are predicted in the cases of wide and narrow (compared to a critical width) gratings. Comparison between the approximate and rigorous theories is carried out.
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"abstract": "Extremely asymmetrical scattering (EAS) is an unusual type of Bragg\nscattering in slanted periodic gratings with the scattered wave (the +1\ndiffracted order) propagating parallel to the grating boundaries. Here, a\nunique and strong sensitivity of EAS to small stepwise variations of mean\nstructural parameters at the grating boundaries is predicted theoretically (by\nmeans of approximate and rigorous analyses) for bulk TE electromagnetic waves\nand slab optical modes of arbitrary polarization in holographic (for bulk\nwaves) and corrugation (for slab modes) gratings. The predicted effects are\nexplained using one of the main physical reasons for EAS--the diffractional\ndivergence of the scattered wave (similar to divergence of a laser beam). The\napproximate method of analysis is based on this understanding of the role of\nthe divergence of the scattered wave, while the rigorous analysis uses the\nenhanced T-matrix algorithm. The effect of small and large stepwise variations\nof the mean permittivity at the grating boundaries is analysed. Two distinctly\ndifferent and unusual patterns of EAS are predicted in the cases of wide and\nnarrow (compared to a critical width) gratings. Comparison between the\napproximate and rigorous theories is carried out.",
"arxiv_id": "physics/0509049",
"authors": [
"D. K. Gramotnev",
"T. A. Nieminen",
"T. A. Hopper"
],
"categories": [
"physics.optics"
],
"doi": "10.1080/09500340110109403",
"journal_ref": "Journal of Modern Optics 49(9), 1567-1585 (2002)",
"title": "Extremely asymmetrical scattering in gratings with varying mean structural parameters",
"url": "https://arxiv.org/abs/physics/0509049"
},
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