Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Corrugated diffraction gratings in uniaxial crystals |
Autor: | Depine, R.A.; Inchaussandague, M.E. |
Filiación: | Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina
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Palabras clave: | Boundary value problems; Crystals; Electromagnetic fields; Sodium compounds; Rayleigh hypothesis; Sodium nitrate; Uniaxial crystals; Diffraction gratings |
Año: | 1994
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Volumen: | 11
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Número: | 1
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Página de inicio: | 173
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Página de fin: | 180
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DOI: |
http://dx.doi.org/10.1364/JOSAA.11.000173 |
Título revista: | Journal of the Optical Society of America A: Optics and Image Science, and Vision
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Título revista abreviado: | J Opt Soc Am A
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ISSN: | 10847529
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10847529_v11_n1_p173_Depine |
Referencias:
- (1990) The August and September Issues of J. Opt. Soc. Am, 7
- Petit, R., (1980) Electromagnetic Theory of Gratings, , ed., SpringerVerlag, Berlin
- Lakhtakia, V., Varadan, V., Varadan, V.K., Scattering by periodic achiral-chiral interfaces (1989) J. Opt. Soc. Am. A, 6, pp. 1675-1681
- Rokushima, K., Yamakita, J., Analysis of anisotropic dielectric gratings (1983) J. Opt. Soc. Am., 73, pp. 901-908
- Glytsis, E., Gaylord, T., Rigorous three-dimensional coupled wave diffraction analysis of single and cascaded anisotropic gratings (1987) J. Opt. Soc. Am. A, 4, pp. 2061-2080
- Glytsis, E., Gaylord, T., Three-dimensional (Vector) rigorous coupled-wave analysis of anisotropic grating diffraction (1990) J. Opt. Soc. Am. A, 7, pp. 1399-1419
- Petit, R., Tayeb, G., About the electromagnetic theory of gratings made with anisotropic materials (1987) Application and Theory of Periodic Structures, 815, pp. 11-16. , Diffraction Gratings, and Moiré Phenomena III, J. M. Lerner, ed., Proc. Soc. Photo-Opt. Instrum. Eng
- Mori, S., Mukai, K., Yamakita, J., Rokushima, K., Analysis of dielectric lamellar gratings coated with anisotropic layers (1990) J. Opt. Soc. Am. A, 7, pp. 1661-1665
- Tayeb, G., Cadilhac, M., Petit, R., Sur létude théorique desréseaux de diffraction constitués de matériaux anisotropes (1988) C. R. Acad. Sci. Ser. B, 307, pp. 711-714
- Maystre, D., Rigorous vector theories of diffraction gratings Progress in Optics, 21, pp. 19-37. , E. Wolf, ed. (North-Holland, Amsterdam, 1984)
- Tayeb, G., Sur létude numérique des réseaux de diffraction constitués de matériaux anisotropes (1988) C. R. Acad. Sci. Ser. B, 307, pp. 1501-1504
- 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
- Lakhtakia, R.A.D., Inchaussandague, M.E., Brudny, V.L., Scattering by a periodically corrugated interface between free space and a gyroelectromagnetic uniaxial medium (1993) Appl. Opt., 32, pp. 2765-2772
- Waterman, R.C., Scattering by periodic surfaces (1975) J. Acoust. Soc. Am., 57, pp. 791-802
- Depine, R.A., Simon, J.M., Diffraction grating efficiencies: An exact differential algorithm valid for high conductivities (1983) Opt. 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
- Chen, H.C., (1983) Theory of Electromagnetic Waves: A Coordinate Free Approach, , McGraw-Hill, New York
- Inchaussandague, M.E., (1992) Redes De difracción En Cristales Uniaxiales, Tesis De Licenciatura En Ciencias Físicas, , University of Buenos Aires, Buenos Aires, Argentina
- Jackson, J., (1975) Classical Electrodynamics, , 2nd ed. (Wiley, New York
- Coddington, E., Levinson, N., (1955) Theory of Ordinary Differential Equations, , McGraw-Hill, New York
- Azzam, R.M., Bashara, N.M., (1977) Ellipsometry and Polarized Light, , North-Holland, Amsterdam
- Petit, R., Plane-wave expansions used to describe the field diffracted by a grating (1981) J. Opt. Soc. Am., 71, pp. 593-598
- Wirgin, R., Plane-wave expansions used to describe the field diffracted by a grating: Comments (1982) J. Opt. Soc. Am., 72, pp. 812-813
Citas:
---------- APA ----------
Depine, R.A. & Inchaussandague, M.E.
(1994)
. Corrugated diffraction gratings in uniaxial crystals. Journal of the Optical Society of America A: Optics and Image Science, and Vision, 11(1), 173-180.
http://dx.doi.org/10.1364/JOSAA.11.000173---------- CHICAGO ----------
Depine, R.A., Inchaussandague, M.E.
"Corrugated diffraction gratings in uniaxial crystals"
. Journal of the Optical Society of America A: Optics and Image Science, and Vision 11, no. 1
(1994) : 173-180.
http://dx.doi.org/10.1364/JOSAA.11.000173---------- MLA ----------
Depine, R.A., Inchaussandague, M.E.
"Corrugated diffraction gratings in uniaxial crystals"
. Journal of the Optical Society of America A: Optics and Image Science, and Vision, vol. 11, no. 1, 1994, pp. 173-180.
http://dx.doi.org/10.1364/JOSAA.11.000173---------- VANCOUVER ----------
Depine, R.A., Inchaussandague, M.E. Corrugated diffraction gratings in uniaxial crystals. J Opt Soc Am A. 1994;11(1):173-180.
http://dx.doi.org/10.1364/JOSAA.11.000173