Validity of the Kirchhoff approximation for the scattering of electromagnetic waves from dielectric, doubly periodic surfaces
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 s...
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2017
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10847529_v34_n12_p2266_Franco http://hdl.handle.net/20.500.12110/paper_10847529_v34_n12_p2266_Franco |
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paper:paper_10847529_v34_n12_p2266_Franco2023-06-08T16:06:01Z Validity of the Kirchhoff approximation for the scattering of electromagnetic waves from dielectric, doubly periodic surfaces 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 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. 2017 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10847529_v34_n12_p2266_Franco http://hdl.handle.net/20.500.12110/paper_10847529_v34_n12_p2266_Franco |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
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 |
| spellingShingle |
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 Validity of the Kirchhoff approximation for the scattering of electromagnetic waves from dielectric, doubly periodic surfaces |
| topic_facet |
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 |
| description |
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. |
| title |
Validity of the Kirchhoff approximation for the scattering of electromagnetic waves from dielectric, doubly periodic surfaces |
| title_short |
Validity of the Kirchhoff approximation for the scattering of electromagnetic waves from dielectric, doubly periodic surfaces |
| title_full |
Validity of the Kirchhoff approximation for the scattering of electromagnetic waves from dielectric, doubly periodic surfaces |
| title_fullStr |
Validity of the Kirchhoff approximation for the scattering of electromagnetic waves from dielectric, doubly periodic surfaces |
| title_full_unstemmed |
Validity of the Kirchhoff approximation for the scattering of electromagnetic waves from dielectric, doubly periodic surfaces |
| title_sort |
validity of the kirchhoff approximation for the scattering of electromagnetic waves from dielectric, doubly periodic surfaces |
| publishDate |
2017 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10847529_v34_n12_p2266_Franco http://hdl.handle.net/20.500.12110/paper_10847529_v34_n12_p2266_Franco |
| _version_ |
1768542900996538368 |