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Impedance boundary conditions for the scattering of time-harmonic waves by rapidly varying surfaces
A method to build impedance boundary conditions incorporating the effect of rapid variations of a perfectly conducting surface on the scattering of a scalar, E-polarized, time-harmonic electromagnetic wave is presented. The amplitude and the extent of the variations are assumed to be comparable to e...
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| Published in: | IEEE transactions on antennas and propagation 2006-03, Vol.54 (3), p.995-1005 |
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| Main Authors: | , , |
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| Language: | English |
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| cites | cdi_FETCH-LOGICAL-c412t-77a02eb5a73f720b1a0fb5450516518c53c43f757fe71b6c78aaa315213db5d3 |
| container_end_page | 1005 |
| container_issue | 3 |
| container_start_page | 995 |
| container_title | IEEE transactions on antennas and propagation |
| container_volume | 54 |
| creator | Poirier, J.-R. Bendali, A. Borderies, P. |
| description | A method to build impedance boundary conditions incorporating the effect of rapid variations of a perfectly conducting surface on the scattering of a scalar, E-polarized, time-harmonic electromagnetic wave is presented. The amplitude and the extent of the variations are assumed to be comparable to each other and small as compared to the wavelength. The derivation of the impedance boundary conditions is based on a decomposition of the field in two parts. The first part describes the overall behavior of the wave and the second one deals with its small scale variations. The effective boundary conditions are rigorously constructed for periodic surfaces presenting a large-scale global periodicity to suppress the boundary effects and a small local period to describe the rapid variations. Numerical examples prove that the method can even be heuristically extended to more general problems. In this respect, there are reported some results related to the numerical treatment of small details on a smooth surface and of rough surfaces without resorting to refined meshes |
| doi_str_mv | 10.1109/TAP.2006.869900 |
| format | article |
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The amplitude and the extent of the variations are assumed to be comparable to each other and small as compared to the wavelength. The derivation of the impedance boundary conditions is based on a decomposition of the field in two parts. The first part describes the overall behavior of the wave and the second one deals with its small scale variations. The effective boundary conditions are rigorously constructed for periodic surfaces presenting a large-scale global periodicity to suppress the boundary effects and a small local period to describe the rapid variations. Numerical examples prove that the method can even be heuristically extended to more general problems. 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The amplitude and the extent of the variations are assumed to be comparable to each other and small as compared to the wavelength. The derivation of the impedance boundary conditions is based on a decomposition of the field in two parts. The first part describes the overall behavior of the wave and the second one deals with its small scale variations. The effective boundary conditions are rigorously constructed for periodic surfaces presenting a large-scale global periodicity to suppress the boundary effects and a small local period to describe the rapid variations. Numerical examples prove that the method can even be heuristically extended to more general problems. 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The amplitude and the extent of the variations are assumed to be comparable to each other and small as compared to the wavelength. The derivation of the impedance boundary conditions is based on a decomposition of the field in two parts. The first part describes the overall behavior of the wave and the second one deals with its small scale variations. The effective boundary conditions are rigorously constructed for periodic surfaces presenting a large-scale global periodicity to suppress the boundary effects and a small local period to describe the rapid variations. Numerical examples prove that the method can even be heuristically extended to more general problems. In this respect, there are reported some results related to the numerical treatment of small details on a smooth surface and of rough surfaces without resorting to refined meshes</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/TAP.2006.869900</doi><tpages>11</tpages></addata></record> |
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| ispartof | IEEE transactions on antennas and propagation, 2006-03, Vol.54 (3), p.995-1005 |
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| subjects | Applied sciences Boundaries Boundary conditions Computational efficiency Construction Derivation Diffraction, scattering, reflection Electromagnetic scattering Exact sciences and technology homogenization Impedance impedance boundary conditions Large-scale systems Mathematical models periodic surfaces Radiocommunications Radiowave propagation Rough surfaces Scalars Scattering small details Studies Surface impedance Surface roughness Surface treatment Surface waves Telecommunications Telecommunications and information theory Terminology |
| title | Impedance boundary conditions for the scattering of time-harmonic waves by rapidly varying surfaces |
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