Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor
Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor. A rigorous electromagnetic approach to wave scattering by one-dimensional, periodically corrugated interfaces between an uniaxial crystal and a perfect cond...
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1996
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00304026_v102_n4_p147_Inchaussandague http://hdl.handle.net/20.500.12110/paper_00304026_v102_n4_p147_Inchaussandague |
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paper:paper_00304026_v102_n4_p147_Inchaussandague |
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paper:paper_00304026_v102_n4_p147_Inchaussandague2023-06-08T14:56:09Z Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor Boundary conditions Carrier communication Conformal mapping Differential equations Electric conductors Electromagnetic fields Electromagnetic wave diffraction Single crystals Corrugated interfaces Optic axis Perfectly conducting boundary Transformed propagation equations Triangular shape Electromagnetic wave scattering Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor. A rigorous electromagnetic approach to wave scattering by one-dimensional, periodically corrugated interfaces between an uniaxial crystal and a perfect conductor is presented for the case of arbitrary orientations between the optic axis of the crystal and the mean interface. The fully vectorial treatment is first simplified by writing the total fields in terms of the components of the electric and magnetic fields along the grooves direction Then a coordinate transformation that maps the corrugated interface into a plane is used and the transformed propagation equations are solved by means of a differential method. The method presented here could be regarded as the extension to uniaxial-perfectly conducting boundaries of the conformal mapping method proposed by Nevière et al. for isotropic-perfectly conducting boundaries [1]. The new method is applied to study the diffraction of ordinary and extraordinary modes at a perfectly conducting boundary with grooves of triangular shape. 1996 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00304026_v102_n4_p147_Inchaussandague http://hdl.handle.net/20.500.12110/paper_00304026_v102_n4_p147_Inchaussandague |
| 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 conditions Carrier communication Conformal mapping Differential equations Electric conductors Electromagnetic fields Electromagnetic wave diffraction Single crystals Corrugated interfaces Optic axis Perfectly conducting boundary Transformed propagation equations Triangular shape Electromagnetic wave scattering |
| spellingShingle |
Boundary conditions Carrier communication Conformal mapping Differential equations Electric conductors Electromagnetic fields Electromagnetic wave diffraction Single crystals Corrugated interfaces Optic axis Perfectly conducting boundary Transformed propagation equations Triangular shape Electromagnetic wave scattering Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor |
| topic_facet |
Boundary conditions Carrier communication Conformal mapping Differential equations Electric conductors Electromagnetic fields Electromagnetic wave diffraction Single crystals Corrugated interfaces Optic axis Perfectly conducting boundary Transformed propagation equations Triangular shape Electromagnetic wave scattering |
| description |
Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor. A rigorous electromagnetic approach to wave scattering by one-dimensional, periodically corrugated interfaces between an uniaxial crystal and a perfect conductor is presented for the case of arbitrary orientations between the optic axis of the crystal and the mean interface. The fully vectorial treatment is first simplified by writing the total fields in terms of the components of the electric and magnetic fields along the grooves direction Then a coordinate transformation that maps the corrugated interface into a plane is used and the transformed propagation equations are solved by means of a differential method. The method presented here could be regarded as the extension to uniaxial-perfectly conducting boundaries of the conformal mapping method proposed by Nevière et al. for isotropic-perfectly conducting boundaries [1]. The new method is applied to study the diffraction of ordinary and extraordinary modes at a perfectly conducting boundary with grooves of triangular shape. |
| title |
Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor |
| title_short |
Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor |
| title_full |
Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor |
| title_fullStr |
Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor |
| title_full_unstemmed |
Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor |
| title_sort |
conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor |
| publishDate |
1996 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00304026_v102_n4_p147_Inchaussandague http://hdl.handle.net/20.500.12110/paper_00304026_v102_n4_p147_Inchaussandague |
| _version_ |
1768544308653195264 |