粗糙面重构问题的混合算法研究

梁玉; 郭立新; 王蕊

doi:10.7498/aps.60.034102

摘要

基于Desanto的谱表示法,采用数值和近似算法相结合的混合算法对一维粗糙面的重构问题进行了研究.对于正问题,采用数值算法——矩量法(MOM)得到一维粗糙面的相关散射数据,对于逆问题,考虑不同粗糙度的粗糙面,分别采用两种近似算法——微扰近似(SPA)、基尔霍夫近似(KA)与矩量法的混合算法,对粗糙面轮廓进行了重构;数值结果以高斯粗糙面为例,给出了混合算法对不同粗糙度粗糙面的重构算例,并进行了数据比较和分析.

关键词:

Abstract

Based on the Desantos 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.

Keywords:

rough surface reconstruction /
method of moments (MOM) /
small perturbation approximation (SPA) /
Kirchhoff approximation (KA)

作者及机构信息

1.
西安电子科技大学理学院,西安 710071

基金项目: 国家自然科学基金(批准号:60971067),高等学校博士学科点专项科研基金(批准号:20100203110016)和中央高校基本科研业务费专项资金资助的课题.

Authors and contacts

1.
School of Science, Xidian University, Xian 710071, China

参考文献

[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 物理学报 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 物理学报 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 物理学报 57 3473]
[8]	Liang Y, Guo L X 2009 Acta Phys. Sin. 58 6158 (in Chinese) [梁玉、郭立新 2009 物理学报 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

施引文献

[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 物理学报 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 物理学报 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 物理学报 57 3473]
[8]	Liang Y, Guo L X 2009 Acta Phys. Sin. 58 6158 (in Chinese) [梁玉、郭立新 2009 物理学报 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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