Artículo
Abstract:
A surface-impedance boundary condition is obtained from first principles for problems involving the scattering of two-dimensional waves by cylindrical periodical surfaces of arbitrary shape. The analysis is performed in the context of the electromagnetic theory of gratings, but it is also applicable to other physical situations, leading to the solution of a two-dimensional Helmholtz equation with high values for index of refraction. The boundary condition deduced here is shown to be analogous to the one suggested by Leontovich for quasi-planar boundaries if Z0 the quantity relating the field and its normal derivative at the boundary and depending only on the constitutive properties of the medium, is replaced by another quantity Z, which also depends on the local curvature of the surface. and on the polarization of the external fields; Z0 is the zero-order term in the expansion of Z in terms of the curvature. © 1988 Optical Society of America.
Registro:
| Documento: | Artículo |
| Título: | Scattering of a wave at a periodic boundary: Analytical expression for the surface impedance |
| Autor: | Depine, R.A. |
| Filiación: | Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina |
| Año: | 1988 |
| Volumen: | 5 |
| Número: | 4 |
| Página de inicio: | 507 |
| Página de fin: | 510 |
| DOI: | http://dx.doi.org/10.1364/JOSAA.5.000507 |
| Título revista: | Journal of the Optical Society of America A: Optics and Image Science, and Vision |
| Título revista abreviado: | J Opt Soc Am A |
| ISSN: | 10847529 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10847529_v5_n4_p507_Depine |
Referencias:
- Brekhovskikh, L.M., (1960) Waves in Layered Media, , (Academic, New York)
- Landau, L.D., Lifchitz, E.M., (1982) Electrodynamics of Continuous Media, p. 279. , (Pergamon, Oxford)
- Leontovich, M.A., Fok, V.A., A method for the solution of the problem of the propagation of electromagnetic waves along the surface of the earth (1946) Izv. Akad. Nauk Uzb. SSR Ser. Fiz, 16, pp. 557-582
- Depine, R.A., Simon, J.M., Diffraction grating efficiencies: Conformal mapping method for a good real conductor (1982) Opt. 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) Opt. Acta, 30, pp. 313-322
- Vincent, P., Differential methods (1980) Electromagnetic Theory of Gratings, pp. 101-121. , R. Petit, ed. (Springer, New York)
- Depine, R.A., Perfectly conducting diffraction grating formalisms extended to good conductors via the surface impedance boundary condition (1987) Appl. Opt, 26, pp. 2348-2354
- Maystre, D., Neviere, M., Petit, R., Experimental verifications and applications of the theory (1980) Electromagnetic Theory of Gratings, p. 164. , R. Petit, ed. (Springer, New York)
- Holford, R.L., Scattering of sound waves at the ocean surface: A diffraction theory (1981) J. Acoust. Soc. Am, 70, pp. 1103-1115
- Maystre, D., Integral Methods (1980) Electromagnetic Theory of Gratings, pp. 63-100. , R. Petit, ed. (Springer, New York)
- Neviere, M., Cadilhac, M., Petit, R., Applications of conformal mappings to the diffraction of electromagnetic waves by a grating (1973) IEEE Trans. Antennas Propag, AP-21, pp. 37-45
Citas:
---------- APA ----------
(1988) . Scattering of a wave at a periodic boundary: Analytical expression for the surface impedance. Journal of the Optical Society of America A: Optics and Image Science, and Vision, 5(4), 507-510.http://dx.doi.org/10.1364/JOSAA.5.000507
---------- CHICAGO ----------
Depine, R.A. "Scattering of a wave at a periodic boundary: Analytical expression for the surface impedance" . Journal of the Optical Society of America A: Optics and Image Science, and Vision 5, no. 4 (1988) : 507-510.http://dx.doi.org/10.1364/JOSAA.5.000507
---------- MLA ----------
Depine, R.A. "Scattering of a wave at a periodic boundary: Analytical expression for the surface impedance" . Journal of the Optical Society of America A: Optics and Image Science, and Vision, vol. 5, no. 4, 1988, pp. 507-510.http://dx.doi.org/10.1364/JOSAA.5.000507
---------- VANCOUVER ----------
Depine, R.A. Scattering of a wave at a periodic boundary: Analytical expression for the surface impedance. J Opt Soc Am A. 1988;5(4):507-510.http://dx.doi.org/10.1364/JOSAA.5.000507
