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Franco, M.; Barber, M.; Maas, M.; Bruno, O.; Grings, F.; Calzetta, E. "Validity of the Kirchhoff approximation for the scattering of electromagnetic waves from dielectric, doubly periodic surfaces" (2017) Journal of the Optical Society of America A: Optics and Image Science, and Vision. 34(12):2266-2277
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Abstract:

Accuracy of Kirchhoff approximation (KA) for rough-surface electromagnetic wave scattering is studied by comparison with accurate numerical solutions in the context of three-dimensional dielectric surfaces. The Kirchhoff tangent plane approximation is examined without resorting to the principle of stationary phase. In particular, it is shown that this additional assumption leads to zero cross-polarized backscattered power, but not the tangent plane approximation itself. Extensive numerical results in the case of a bisinusoidal surface are presented for a wide range of problem parameters: height-to-period, wavelength, incidence angles, and dielectric constants. In particular, this paper shows that the range of validity inherent in the KA includes surfaces whose curvature is not only much smaller, but also comparable to the incident wavelength, with errors smaller than 5% in total reflectivity, thus presenting a detailed and reliable source for the validity of the KA in a three-dimensional fully polarimetric formulation. © 2017 Optical Society of America.

Registro:

Documento: Artículo
Título:Validity of the Kirchhoff approximation for the scattering of electromagnetic waves from dielectric, doubly periodic surfaces
Autor:Franco, M.; Barber, M.; Maas, M.; Bruno, O.; Grings, F.; Calzetta, E.
Filiación:Universidad de Buenos Aires, Facultad de Ciencias Exactas y Naturales, Departamento de Física, Ciudad Universitaria, Int. Güiraldes 2160, Buenos Aires, CABA C1428EGA, Argentina
Universidad de Buenos Aires, Facultad de Ingeniería, Departamento de Física, Av. Paseo Colón 850, Buenos Aires, C1063ACV, Argentina
CONICET-Universidad de Buenos Aires, Instituto de Astronomía y Física del Espacio (IAFE), Ciudad Universitaria, Av. Cantilo S/N, Buenos Aires, C1428ZAA, Argentina
California Institute of Technology, Mathematics Department, MS 217-51201 East California Blvd., Pasadena, CA 91125, United States
CONICET-Instituto de Física de Buenos Aires (IFIBA), Buenos Aires, Argentina
Palabras clave:Circular waveguides; Electromagnetic waves; Surface scattering; Backscattered power; Dielectric surface; Incident wavelength; Kirchhoff approximations; Numerical solution; Principle of stationary phase; Problem parameters; Scattering of electromagnetic waves; Electromagnetic wave scattering
Año:2017
Volumen:34
Número:12
Página de inicio:2266
Página de fin:2277
DOI: http://dx.doi.org/10.1364/JOSAA.34.002266
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
CODEN:JOAOD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10847529_v34_n12_p2266_Franco

Referencias:

  • Johnson, J., Kong, R., Scattering and thermal emission from a two dimensional periodic surface (1997) Prog. Electromagn. Res., 15, pp. 303-333
  • Johnson, J., Higher order emission model study of bi-sinusoidal surface brightness temperatures (2002) Prog. Electromagn. Res., 37, pp. 79-99
  • Beckmann, P., Spizzichino, A., (1987) The Scattering of Electromagnetic Waves from Rough Surfaces, p. 511. , Artech House, Inc
  • Ulaby, F.T., Moore, R.K., Fung, A.K., (1981) Microwave Remote Sensing: Active and Passive, 2. , Addison-Wesley Reading
  • Fung, A., Eom, H., Note on the Kirchhoff rough surface solution in backscattering (1981) Radio Sci., 16, pp. 299-302
  • Chuang, S., Kong, J., Wave scattering from a periodic dielectric surface for a general angle of incidence (1982) Radio Sci., 17, pp. 545-557
  • Wirgin, A., Scattering from sinusoidal gratings: An evaluation of the Kirchhoff approximation (1983) J. Opt. Soc. Am., 73, pp. 1028-1041
  • Shin, R., Kong, J., Scattering of electromagnetic waves from a randomly perturbed quasiperiodic surface (1984) J. Appl. Phys., 56, pp. 10-21
  • Papa, R.J., Lennon, J.F., Conditions for the validity of physical optics in rough surface scattering (1988) IEEE Trans. Antennas Propag., 36, pp. 647-650
  • Veysoglu, M.E., Yueh, H., Shin, R., Kong, J., Polarimetric passive remote sensing of periodic surfaces (1991) J. Electromagn. Waves Appl., 5, pp. 267-280
  • Fung, A.K., Li, Z., Chen, K.-S., Backscattering from a randomly rough dielectric surface (1992) IEEE Trans. Geosci. Remote Sens., 30, pp. 356-369
  • Gasiewski, A., Kunkee, D., Polarized microwave emission from water waves (1994) Radio Sci., 29, pp. 1449-1466
  • Tsang, L., Kong, J.A., (2004) Scattering of Electromagnetic Waves, Advanced Topics, 26. , Wiley
  • Elfouhaily, T.M., Guérin, C.-A., A critical survey of approximate scattering wave theories from random rough surfaces (2004) Waves Random Media, 14, pp. R1-R40
  • Maradudin, A.A., (2010) Light Scattering and Nanoscale Surface Roughness, , Springer
  • Thorsos, E.I., The validity of the Kirchhoff approximation for rough surface scattering using a Gaussian roughness spectrum (1988) J. Acoust. Soc. Am., 83, pp. 78-92
  • Chen, M., Fung, A., A numerical study of the regions of validity of the Kirchhoff and small-perturbation rough surface scattering models (1988) Radio Sci., 23, pp. 163-170
  • Johnson, J.T., Shin, R.T., Kong, J.A., Tsang, L., Pak, K., A numerical study of ocean polarimetric thermal emission (1999) IEEE Trans. Geosci. Remote Sens., 37, pp. 8-20
  • Bruno, O.P., Reitich, F., Numerical solution of diffraction problems: A method of variation of boundaries. III. Doubly periodic gratings (1993) J. Opt. Soc. Am. A, 10, pp. 2551-2562
  • Tsang, L., Kong, J.A., Ding, K.-H., (2001) Scattering of Electromagnetic Waves: Numerical Solutions, , Wiley
  • Leader, J., Bidirectional scattering of electromagnetic waves from rough surfaces (1971) J. Appl. Phys., 42, pp. 4808-4816
  • Holzer, J.A., Sung, C., Scattering of electromagnetic waves from a rough surface. II (1978) J. Appl. Phys., 49, pp. 1002-1011
  • Petit, R., Cadilhac, M., Maystre, D., McPhedran, R., Nevière, M., Vincent, P., Derrick, G., Botten, L., (1980) Electromagnetic Theory of Gratings, , Springer
  • Bruno, O.P., Reitich, F., Solution of a boundary value problem for the Helmholtz equation via variation of the boundary into the complex domain (1992) Proc. R. Soc. Edinburgh, Sect. A, 122, pp. 317-340
  • Baker, G.A., Graves-Morris, P., (1981) Padé Approximants, 1. , Addison-Wesley
  • Bruno, O.P., Reitich, F., Numerical solution of diffraction problems: A method of variation of boundaries. II. Finitely conducting gratings, Padé approximants, and singularities (1993) J. Opt. Soc. Am. A, 10, pp. 2307-2316
  • Johnson, J.T., Third-order small-perturbation method for scattering from dielectric rough surfaces (1999) J. Opt. Soc. Am. A, 16, pp. 2720-2736

Citas:

---------- APA ----------
Franco, M., Barber, M., Maas, M., Bruno, O., Grings, F. & Calzetta, E. (2017) . Validity of the Kirchhoff approximation for the scattering of electromagnetic waves from dielectric, doubly periodic surfaces. Journal of the Optical Society of America A: Optics and Image Science, and Vision, 34(12), 2266-2277.
http://dx.doi.org/10.1364/JOSAA.34.002266
---------- CHICAGO ----------
Franco, M., Barber, M., Maas, M., Bruno, O., Grings, F., Calzetta, E. "Validity of the Kirchhoff approximation for the scattering of electromagnetic waves from dielectric, doubly periodic surfaces" . Journal of the Optical Society of America A: Optics and Image Science, and Vision 34, no. 12 (2017) : 2266-2277.
http://dx.doi.org/10.1364/JOSAA.34.002266
---------- MLA ----------
Franco, M., Barber, M., Maas, M., Bruno, O., Grings, F., Calzetta, E. "Validity of the Kirchhoff approximation for the scattering of electromagnetic waves from dielectric, doubly periodic surfaces" . Journal of the Optical Society of America A: Optics and Image Science, and Vision, vol. 34, no. 12, 2017, pp. 2266-2277.
http://dx.doi.org/10.1364/JOSAA.34.002266
---------- VANCOUVER ----------
Franco, M., Barber, M., Maas, M., Bruno, O., Grings, F., Calzetta, E. Validity of the Kirchhoff approximation for the scattering of electromagnetic waves from dielectric, doubly periodic surfaces. J Opt Soc Am A. 2017;34(12):2266-2277.
http://dx.doi.org/10.1364/JOSAA.34.002266