Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor |
Autor: | Inchaussandague, M.E.; Depine, R.A. |
Filiación: | Grupo de Electromagnetismo Aplicado, Departamento de Física, Universidad de Buenos Aires, Argentina Grupo de Electromagnetismo Aplicado, Dept. de Física, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
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Palabras clave: | 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 |
Año: | 1996
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Volumen: | 102
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Número: | 4
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Página de inicio: | 147
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Página de fin: | 154
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Título revista: | Optik (Jena)
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Título revista abreviado: | Optik (Jena)
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ISSN: | 00304026
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CODEN: | OTIKA
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00304026_v102_n4_p147_Inchaussandague |
Referencias:
- Nevière, M., Cadilhac, M., Petit, R., Applications of conformal mappings to the diffraction of electromagnetic waves by a grating (1973) IEEE Trans. Antennas Propag., 21, pp. 37-45
- Nevière, M., Cadilhac, M., Sur la validite du developpement de Rayleigh (1970) Opt. Commun., 2, p. 235
- Nevière, M., Cerutti-Maori, G., Cadilhac, M., Sur une nouvelle methode de resolution du probleme de la diffraction d'une onde plane par un reseau infiniment conducteur (1971) Opt. Commun., 3, pp. 48-52
- Nevière, M., Cadilhac, M., Sur une nouvelle formulation du probleme de la diffraction d'une onde plane par un reseau infiniment conducteur-cas general (1971) Opt. Commun., 3, pp. 379-383
- Depine, R.A., Simon, J.M., Diffraction grating efficiencies: Conformal mapping method for a good real conductor (1982) Optica Acta, 29, pp. 1459-1473
- Depine, R.A., Simon, J.M., Surface impedance boundary condition for metallic diffraction gratings in the optical and infrared range (1983) Optica Acta, 30, pp. 313-332
- Depine, R.A., Conformal mapping method for finitely conducting diffraction gratings in conical mountings (1989) Optik, 81, pp. 95-102
- Petit, R., (1980) Electromagnetic Theory of Gratings, p. 31. , Springer-Verlag, Berlin
- Depine, R.A., Simon, J.M., Diffraction grating efficiencies. An exact differential algorithm valid for high conductivities (1983) Optica Acta, 30, pp. 1273-1286
- Depine, R.A., Valencia, C.I., Diffraction from corrugated dielectric gratings: General case of oblique incidence (1992) J. Mod. Opt., 39, pp. 2089-2112
- Chandezon, J., Dupuis, M., Cornet, G., Maystre, D., Multicoated gratings: A differential formalism applicable in the entire optical region (1982) J. Opt. Soc. Am., 72, pp. 839-846
- Popov, E., Mashev, L., Conical diffraction mounting generalization of a rigorous differential method (1986) J. Optics, 17, p. 175. , Paris
- Elston, S., Bryan-Brown, O., Sambles, J., Polarization conversion from diffraction gratings (1991) Phys. Rev., 44 B, pp. 6393-6400
- Depine, R.A., Brudny, V.L., Lakhtakia, A., T-matrix approach for calculating the electromagnetic fields diffracted by a corrugated, anisotropic grating (1992) J. Mod. Opt., 39, pp. 589-601
- Depine, R.A., Gigli, M.L., Diffraction from corrugated gratings made with uniaxial crystals: Rayleigh methods (1994) J. Mod. Opt., 41, pp. 695-715
- Depine, R.A., Inchaussandague, M.E., Corrugated diffraction gratings in uniaxial crystals (1994) J. Opt. Soc. Am., 11 A, pp. 173-180
- Inchaussandague, M.E., Depine, R.A., Diffraction gratings in uniaxial crystals with arbitrary orientation of the optic axis (1995) J. Opt. Soc. Am., 12 A
Citas:
---------- APA ----------
Inchaussandague, M.E. & Depine, R.A.
(1996)
. Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor. Optik (Jena), 102(4), 147-154.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00304026_v102_n4_p147_Inchaussandague [ ]
---------- CHICAGO ----------
Inchaussandague, M.E., Depine, R.A.
"Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor"
. Optik (Jena) 102, no. 4
(1996) : 147-154.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00304026_v102_n4_p147_Inchaussandague [ ]
---------- MLA ----------
Inchaussandague, M.E., Depine, R.A.
"Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor"
. Optik (Jena), vol. 102, no. 4, 1996, pp. 147-154.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00304026_v102_n4_p147_Inchaussandague [ ]
---------- VANCOUVER ----------
Inchaussandague, M.E., Depine, R.A. Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor. Optik (Jena). 1996;102(4):147-154.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00304026_v102_n4_p147_Inchaussandague [ ]