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Based on the Desantos spectral formalism, using the hybrid method that combines the numerical and approximate algorithms, the reconstruction problem for the one-dimensional rough surface is investigated. For the direct problem, the scattering data is obtained by the numerical algorithm—the method of moments (MOM). For the inverse problem, the profile of rough surface with different roughness is reconstructed by two approximate algorithms—the small perturbation approximation (SPA) and the Kirchhoff approximation (KA) combined with the method of moments. Taking the Gaussian rough surface for example, the numerical results of reconstructed rough surface with different roughness are presented for the hybrid method, and the data are compared and analyzed.
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Keywords:
- rough surface reconstruction /
- method of moments (MOM) /
- small perturbation approximation (SPA) /
- Kirchhoff approximation (KA)
[1] Hill N R 1981 Phys. Rev.B 24 7112
[2] Garcia N, Stoll E 1984 Phys. Rev. Lett. 52 1798
[3] Guo L X, Wu Z S 2000 Acta Phys. Sin. 49 1064 (in Chinese) [郭立新、吴振森 2000 49 1064]
[4] Guo L X, Wu Z S 2004 J. Electromagn. Waves Appl. 18 1219
[5] Guo L X, Wei G H, Kim C Y, Wu Z S 2005 Commun. Theor. Phys. 44 901
[6] Guo L X, Wang Y H, Wu Z S 2005 Acta Phys. Sin. 54 96 (in Chinese) [郭立新、王运华、吴振森 2005 54 96]
[7] Wang R, Guo L X, Qin S T, Wu Z S 2008 Acta Phys. Sin. 57 3473 (in Chinese) [王 蕊、郭立新、秦三团、吴振森 2008 57 3473]
[8] Liang Y, Guo L X 2009 Acta Phys. Sin. 58 6158 (in Chinese) [梁 玉、郭立新 2009 58 6158]
[9] Harada K, Noguchi A 1996 IEICE Trans. Electron. E 79 1345
[10] Demetrio M, Gustavo O, Eugenio R M 2002 LNCS 2279 233
[11] Mendez O M, Roger A, Maystre D 1983 Appl. Phys. B 32 199
[12] Ren Y C, Guo L X, Wu Z S 2007 Chin. Phys. Lett. 24 702
[13] Tsang L, Kong J A, Ding K H 2000 Scattering of Electromagnetic Waves-Theories and Applications (New York:Wiley) p389—415
[14] DeSanto J A 1985 J. Opt. Soc. Am. A 2 2202
[15] Tsang L, Kong J A, Ding K H 2000 Scattering of Electromagnetic Waves-Numerical Simulations (New York:Wiley) p114—151
[16] Thorsos E I 1988 J. Acoust. Soc. Am. 83 78
[17] Wombell R J, DeSanto J A 1991 J. Opt. Soc. Am. A 8 1892
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[1] Hill N R 1981 Phys. Rev.B 24 7112
[2] Garcia N, Stoll E 1984 Phys. Rev. Lett. 52 1798
[3] Guo L X, Wu Z S 2000 Acta Phys. Sin. 49 1064 (in Chinese) [郭立新、吴振森 2000 49 1064]
[4] Guo L X, Wu Z S 2004 J. Electromagn. Waves Appl. 18 1219
[5] Guo L X, Wei G H, Kim C Y, Wu Z S 2005 Commun. Theor. Phys. 44 901
[6] Guo L X, Wang Y H, Wu Z S 2005 Acta Phys. Sin. 54 96 (in Chinese) [郭立新、王运华、吴振森 2005 54 96]
[7] Wang R, Guo L X, Qin S T, Wu Z S 2008 Acta Phys. Sin. 57 3473 (in Chinese) [王 蕊、郭立新、秦三团、吴振森 2008 57 3473]
[8] Liang Y, Guo L X 2009 Acta Phys. Sin. 58 6158 (in Chinese) [梁 玉、郭立新 2009 58 6158]
[9] Harada K, Noguchi A 1996 IEICE Trans. Electron. E 79 1345
[10] Demetrio M, Gustavo O, Eugenio R M 2002 LNCS 2279 233
[11] Mendez O M, Roger A, Maystre D 1983 Appl. Phys. B 32 199
[12] Ren Y C, Guo L X, Wu Z S 2007 Chin. Phys. Lett. 24 702
[13] Tsang L, Kong J A, Ding K H 2000 Scattering of Electromagnetic Waves-Theories and Applications (New York:Wiley) p389—415
[14] DeSanto J A 1985 J. Opt. Soc. Am. A 2 2202
[15] Tsang L, Kong J A, Ding K H 2000 Scattering of Electromagnetic Waves-Numerical Simulations (New York:Wiley) p114—151
[16] Thorsos E I 1988 J. Acoust. Soc. Am. 83 78
[17] Wombell R J, DeSanto J A 1991 J. Opt. Soc. Am. A 8 1892
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