The curvilinear coordinate method associated with the short-coupling-range approximation for the study of scattering from one-dimensional random rough surfaces
This paper deals with the scattering of an incident plane wave from a mono-dimensional rough surface. The analysis of the scattering phenomenon is performed using the curvilinear coordinate method (C method) associated with the short-coupling-range approximation (SCRA) and the Huygens principle. The...
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| Veröffentlicht in: | Optics communications 2008-11, Vol.281 (22), p.5504-5510 |
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| container_title | Optics communications |
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| creator | Aït Braham, K. Dusséaux, R. |
| description | This paper deals with the scattering of an incident plane wave from a mono-dimensional rough surface. The analysis of the scattering phenomenon is performed using the curvilinear coordinate method (C method) associated with the short-coupling-range approximation (SCRA) and the Huygens principle. The C method is based on the solving of Maxwell’s equations under their covariant form written in a nonorthogonal coordinate system which fits the scattering surface profile. This leads to eigenvalue problems. The scattered surface fields are expressed as linear combinations of eigensolutions and the combination coefficients are determined using the boundary conditions. Electromagnetic fields are obtained using the surface fields and the Huygens principle. The short-coupling-range approximation (SCRA) applied with the C method allows a significant saving in computation time. We confirm the efficiency and the validity of this new approach with respect to the C method. |
| doi_str_mv | 10.1016/j.optcom.2008.07.062 |
| format | Article |
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The analysis of the scattering phenomenon is performed using the curvilinear coordinate method (C method) associated with the short-coupling-range approximation (SCRA) and the Huygens principle. The C method is based on the solving of Maxwell’s equations under their covariant form written in a nonorthogonal coordinate system which fits the scattering surface profile. This leads to eigenvalue problems. The scattered surface fields are expressed as linear combinations of eigensolutions and the combination coefficients are determined using the boundary conditions. Electromagnetic fields are obtained using the surface fields and the Huygens principle. The short-coupling-range approximation (SCRA) applied with the C method allows a significant saving in computation time. 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The analysis of the scattering phenomenon is performed using the curvilinear coordinate method (C method) associated with the short-coupling-range approximation (SCRA) and the Huygens principle. The C method is based on the solving of Maxwell’s equations under their covariant form written in a nonorthogonal coordinate system which fits the scattering surface profile. This leads to eigenvalue problems. The scattered surface fields are expressed as linear combinations of eigensolutions and the combination coefficients are determined using the boundary conditions. Electromagnetic fields are obtained using the surface fields and the Huygens principle. The short-coupling-range approximation (SCRA) applied with the C method allows a significant saving in computation time. We confirm the efficiency and the validity of this new approach with respect to the C method.</description><subject>C method</subject><subject>Computer Science</subject><subject>Diffraction and scattering</subject><subject>Electromagnetism</subject><subject>Engineering Sciences</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Huygens principle</subject><subject>Optics</subject><subject>Physics</subject><subject>Scattering from rough surfaces</subject><subject>Short-coupling-range approximation</subject><subject>Signal and Image processing</subject><subject>Wave optics</subject><subject>Wave propagation in random media</subject><issn>0030-4018</issn><issn>1873-0310</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2008</creationdate><recordtype>article</recordtype><recordid>eNp9kUFr3DAQhU1poNu0_6AHXXrowe6M5bXsSyGEtiks9JKehSKN1lpsy0jytvk1_avR4pBjToLH92Y07xXFJ4QKAduvp8ovSfupqgG6CkQFbf2m2GEneAkc4W2xA-BQNoDdu-J9jCcAwIZ3u-L__UBMr-HsRjeTCkx7H4ybVSI2URq8YSpGr10WDPvr0sBSdsTBh1Rqvy7ZdiyDmo_E1LIE_89NKjk_M-vDhqbVPDJvWdQqJQqZZzb4ifmZSuMmmmPG1cjyEJPl4NfjwOIarNIUPxRXVo2RPj6_18WfH9_vb-_Kw--fv25vDqXmAlLZUc-VUX1LAts9tlxZwfemxQYRu65p-wcrbG-wb_aEmmts-oe6ETUqyDkIfl182eYOapRLyEeER-mVk3c3B3nRcoAc6xbOmNlmY3XwMQayLwYEeSlEnuRWiLwUIkHIXEi2fd5si8pRjDbfq1188dYg9j02l6982zjK954dBRm1o1mTcYF0ksa71xc9AUf3pkg</recordid><startdate>20081115</startdate><enddate>20081115</enddate><creator>Aït Braham, K.</creator><creator>Dusséaux, R.</creator><general>Elsevier B.V</general><general>Elsevier Science</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>1XC</scope></search><sort><creationdate>20081115</creationdate><title>The curvilinear coordinate method associated with the short-coupling-range approximation for the study of scattering from one-dimensional random rough surfaces</title><author>Aït Braham, K. ; Dusséaux, R.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c370t-8e93ada96e7165163af735d61411188469bf7f9d1945e1c3c149b24721a043873</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2008</creationdate><topic>C method</topic><topic>Computer Science</topic><topic>Diffraction and scattering</topic><topic>Electromagnetism</topic><topic>Engineering Sciences</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Huygens principle</topic><topic>Optics</topic><topic>Physics</topic><topic>Scattering from rough surfaces</topic><topic>Short-coupling-range approximation</topic><topic>Signal and Image processing</topic><topic>Wave optics</topic><topic>Wave propagation in random media</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Aït Braham, K.</creatorcontrib><creatorcontrib>Dusséaux, R.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>Optics communications</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Aït Braham, K.</au><au>Dusséaux, R.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The curvilinear coordinate method associated with the short-coupling-range approximation for the study of scattering from one-dimensional random rough surfaces</atitle><jtitle>Optics communications</jtitle><date>2008-11-15</date><risdate>2008</risdate><volume>281</volume><issue>22</issue><spage>5504</spage><epage>5510</epage><pages>5504-5510</pages><issn>0030-4018</issn><eissn>1873-0310</eissn><coden>OPCOB8</coden><abstract>This paper deals with the scattering of an incident plane wave from a mono-dimensional rough surface. The analysis of the scattering phenomenon is performed using the curvilinear coordinate method (C method) associated with the short-coupling-range approximation (SCRA) and the Huygens principle. The C method is based on the solving of Maxwell’s equations under their covariant form written in a nonorthogonal coordinate system which fits the scattering surface profile. This leads to eigenvalue problems. The scattered surface fields are expressed as linear combinations of eigensolutions and the combination coefficients are determined using the boundary conditions. Electromagnetic fields are obtained using the surface fields and the Huygens principle. The short-coupling-range approximation (SCRA) applied with the C method allows a significant saving in computation time. We confirm the efficiency and the validity of this new approach with respect to the C method.</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><doi>10.1016/j.optcom.2008.07.062</doi><tpages>7</tpages></addata></record> |
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| ispartof | Optics communications, 2008-11, Vol.281 (22), p.5504-5510 |
| issn | 0030-4018 1873-0310 |
| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | C method Computer Science Diffraction and scattering Electromagnetism Engineering Sciences Exact sciences and technology Fundamental areas of phenomenology (including applications) Huygens principle Optics Physics Scattering from rough surfaces Short-coupling-range approximation Signal and Image processing Wave optics Wave propagation in random media |
| title | The curvilinear coordinate method associated with the short-coupling-range approximation for the study of scattering from one-dimensional random rough surfaces |
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