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Integral equation methods from grating theory to photonics: an overview and new approaches for conical diffraction
The boundary integral equation method (BIM) was one of the first methods in grating theory. It has been used for the investigation of diffraction gratings of extremely different kinds as well as for photonic crystal diffraction gratings. Besides an overview of three of the most important BIMs for in...
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Published in: | Journal of modern optics 2011-03, Vol.58 (5-6), p.407-423 |
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container_end_page | 423 |
container_issue | 5-6 |
container_start_page | 407 |
container_title | Journal of modern optics |
container_volume | 58 |
creator | Schmidt, Gunther Kleemann, Bernd H. |
description | The boundary integral equation method (BIM) was one of the first methods in grating theory. It has been used for the investigation of diffraction gratings of extremely different kinds as well as for photonic crystal diffraction gratings. Besides an overview of three of the most important BIMs for in-plane diffraction, we present a new BIM for gratings in a conical mounting with one profile as well as for separated multilayer gratings with photonics inclusions using a common description for both approaches. In numerical examples, (1) blazing in conical mounting is demonstrated at a photonic crystal diffraction grating, (2) the excellent conical efficiency convergence for a plasmonic structure of two stacked silver rod gratings is shown, and (3) the transmission for conical incidence is studied at a blazed grating with large period-to-wavelength ratio. |
doi_str_mv | 10.1080/09500340.2010.538734 |
format | article |
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In numerical examples, (1) blazing in conical mounting is demonstrated at a photonic crystal diffraction grating, (2) the excellent conical efficiency convergence for a plasmonic structure of two stacked silver rod gratings is shown, and (3) the transmission for conical incidence is studied at a blazed grating with large period-to-wavelength ratio.</description><identifier>ISSN: 0950-0340</identifier><identifier>EISSN: 1362-3044</identifier><identifier>DOI: 10.1080/09500340.2010.538734</identifier><language>eng</language><publisher>Abingdon: Taylor & Francis Group</publisher><subject>Atoms & subatomic particles ; conical diffraction ; Crystals ; Diffraction ; Diffraction gratings ; Engineering Sciences ; Gratings (spectra) ; integral equation method ; Integral equations ; Mathematical models ; Mounting ; Optics ; Photonic ; photonic crystal gratings ; Photonic crystals ; Photonics ; plasmonic multilayer gratings ; Plasmonics</subject><ispartof>Journal of modern optics, 2011-03, Vol.58 (5-6), p.407-423</ispartof><rights>Copyright Taylor & Francis Group, LLC 2011</rights><rights>Copyright Taylor & Francis Ltd. 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source | Taylor and Francis Science and Technology Collection |
subjects | Atoms & subatomic particles conical diffraction Crystals Diffraction Diffraction gratings Engineering Sciences Gratings (spectra) integral equation method Integral equations Mathematical models Mounting Optics Photonic photonic crystal gratings Photonic crystals Photonics plasmonic multilayer gratings Plasmonics |
title | Integral equation methods from grating theory to photonics: an overview and new approaches for conical diffraction |
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