Corrugated diffraction gratings in uniaxial crystals
We present a rigorous electromagnetic approach to wave diffraction by corrugated gratings made of uniaxial crystals. The optic axis of the anisotropic medium is assumed to lie on the mean surface of the grating, inclined at an arbitrary angle with respect to the grooves. The diffraction problem is e...
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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10847529_v11_n1_p173_Depine |
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todo:paper_10847529_v11_n1_p173_Depine2023-10-03T16:04:05Z Corrugated diffraction gratings in uniaxial crystals Depine, R.A. Inchaussandague, M.E. Boundary value problems Crystals Electromagnetic fields Sodium compounds Rayleigh hypothesis Sodium nitrate Uniaxial crystals Diffraction gratings We present a rigorous electromagnetic approach to wave diffraction by corrugated gratings made of uniaxial crystals. The optic axis of the anisotropic medium is assumed to lie on the mean surface of the grating, inclined at an arbitrary angle with respect to the grooves. The diffraction problem is exactly analyzed as a two-medium boundary-value problem. We simplify the fully vectorial treatment by first writing the fields everywhere in terms of the components of the electric and magnetic fields along the groove direction. Then a coordinate transformation mapping the corrugated interface into a plane is used, and the transformed propagation equations are solved by means of a differential method. The theory is exemplified numerically for the case of gratings made of sodium nitrate, and the results are compared against those obtained with a simplified formalism invoking the Rayleigh hypothesis. © 1994 Optical Society of America. Fil:Depine, R.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Inchaussandague, M.E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10847529_v11_n1_p173_Depine |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
Boundary value problems Crystals Electromagnetic fields Sodium compounds Rayleigh hypothesis Sodium nitrate Uniaxial crystals Diffraction gratings |
spellingShingle |
Boundary value problems Crystals Electromagnetic fields Sodium compounds Rayleigh hypothesis Sodium nitrate Uniaxial crystals Diffraction gratings Depine, R.A. Inchaussandague, M.E. Corrugated diffraction gratings in uniaxial crystals |
topic_facet |
Boundary value problems Crystals Electromagnetic fields Sodium compounds Rayleigh hypothesis Sodium nitrate Uniaxial crystals Diffraction gratings |
description |
We present a rigorous electromagnetic approach to wave diffraction by corrugated gratings made of uniaxial crystals. The optic axis of the anisotropic medium is assumed to lie on the mean surface of the grating, inclined at an arbitrary angle with respect to the grooves. The diffraction problem is exactly analyzed as a two-medium boundary-value problem. We simplify the fully vectorial treatment by first writing the fields everywhere in terms of the components of the electric and magnetic fields along the groove direction. Then a coordinate transformation mapping the corrugated interface into a plane is used, and the transformed propagation equations are solved by means of a differential method. The theory is exemplified numerically for the case of gratings made of sodium nitrate, and the results are compared against those obtained with a simplified formalism invoking the Rayleigh hypothesis. © 1994 Optical Society of America. |
format |
JOUR |
author |
Depine, R.A. Inchaussandague, M.E. |
author_facet |
Depine, R.A. Inchaussandague, M.E. |
author_sort |
Depine, R.A. |
title |
Corrugated diffraction gratings in uniaxial crystals |
title_short |
Corrugated diffraction gratings in uniaxial crystals |
title_full |
Corrugated diffraction gratings in uniaxial crystals |
title_fullStr |
Corrugated diffraction gratings in uniaxial crystals |
title_full_unstemmed |
Corrugated diffraction gratings in uniaxial crystals |
title_sort |
corrugated diffraction gratings in uniaxial crystals |
url |
http://hdl.handle.net/20.500.12110/paper_10847529_v11_n1_p173_Depine |
work_keys_str_mv |
AT depinera corrugateddiffractiongratingsinuniaxialcrystals AT inchaussandagueme corrugateddiffractiongratingsinuniaxialcrystals |
_version_ |
1782024792233213952 |