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## A stochastic functional approach to difference scattering from a three-dimensional perfect electric conductor target on randomly rough surface

Ding Rui, Jin Ya-Qiu
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• #### 摘要

提出一种解析的随机泛函方法(SFA),计算导体Gauss粗糙面上三维导体目标的复合电磁散射.推导粗糙面的随机Green函数,用一种新的四路径模型描述面体复合散射机理,用SFA求解双站差场雷达散射截面.以导体球目标为算例,与其他数值计算方法比较后验证了SFA的有效性与准确性,同时讨论了粗糙度、体目标尺寸以及距离粗糙面高度等参量变化对结果的影响,给出复杂形状体目标的双站差场雷达散射截面的空间角分布.

#### Abstract

A stochastic functional approach (SFA) is developed to calculate electromagnetic composite scattering from a three-dimensional perfectly electric conducting (PEC) target on a randomly rough PEC surface. The stochastic Green's function for randomly rough surface is derived, and a novel four-path model is presented to describe the scattering mechanism of target-surface interactions. The SFA is used to obtain the difference scattering cross section due to the rough surface of target. As a simple example of a spherical target with rough surface, the SFA is numerically compared with other numerical approaches, showing its accuracy and effectiveness. Finally, the difference bistatic scattering from a complex electric large target with rough surface and its functional dependence on the parameters are discussed.

#### 作者及机构信息

###### 1. 复旦大学波散射与遥感信息教育部重点实验室,上海 200433
• 基金项目: 国家自然科学基金(批准号:60971091, 40637033)和复旦大学研究生创新基金资助的课题.

#### 参考文献

 [1] Jin Y Q, Liu P, Ye H X 2008 Theory and Method of Numerical Simulation of Composite Scattering From the Object and Randomly Rough Surface (Beijing: Science Press) pp35,66,106-108,121 (in Chinese) [金亚秋、刘 鹏、叶红霞 2008 随机粗糙面与目标复合散射数值模拟理论与方法 (北京:科学出版社)第35, 66, 106-108, 121页] [2] Li Z X, Jin Y Q 2001 Acta Phys. Sin. 50 797 (in Chinese) [李中新、金亚秋 2001 物理学报 50 797] [3] [4] [5] Li Z X, Jin Y Q 2002 Acta Phys. Sin. 51 1403 (in Chinese) [李中新、金亚秋 2002 物理学报 51 1403] [6] Liu P, Jin Y Q 2004 IEEE Trans. Geosci. Remote Sens. 42 950 [7] [8] [9] Li L, He J Q, Liu Z J, Carin L 2003 IEEE Trans. Antennas Propag. 51 810 [10] [11] Xu F, Jin Y Q 2009 IEEE Trans. Antennas Propag. 57 1495 [12] [13] Ye H X, Jin Y Q 2008 Acta Phys. Sin. 57 839 (in Chinese) [叶红霞、金亚秋 2008 物理学报 57 839] [14] [15] Ye H X, Jin Y Q 2009 Acta Phys. Sin. 58 4579 (in Chinese) [叶红霞、金亚秋 2009 物理学报 58 4579] [16] Guan B, Zhang J F, Zhou X Y, Cui T J 2009 IEEE Trans. Geosci. Remote Sens. 47 3399 [17] [18] Wang R, Guo L X, Ma J, Wu Z S 2009 Chin. Phys. B 18 1503 [19] [20] Li Z M, Hao Y, Zhang J C, Xu S R, Ni J Y, Zhou X W 2009 Chin. Phys. B 18 5072 [21] [22] [23] Xie T, He C, William P, Kuang H L, Zou G H, Chen W 2010 Chin. Phys. B 19 024101 [24] [25] Li J, Guo L X, Zeng H, Han X 2009 Chin. Phys. B 18 2757 [26] [27] Li J B, Wang X S, Wang T 2009 Chin. Phys. B 18 3174 [28] Chiu T, Sarabandi K 1999 IEEE Trans. Antennas Propag. 47 902 [29] [30] Ogura H 1975 Phys. Rev. A 11 942 [31] [32] Ogura H, Takahashi N 1985 J. Opt. Soc. Am. A 2 2208 [33] [34] Ding R, Jin Y Q, Ogura H 2010 Acta Phys. Sin. 59 3674 (in Chinese) [丁 锐、金亚秋、小仓久直 2010 物理学报 59 3674] [35] [36] [37] Nakayama J, Ogura H, Sakata M 1981 J. Math. Phys. 22 471 [38] [39] Ishimaru A, Rockway J D, Kuga Y 2000 Waves Rand. Compl. Med. 10 17 [40] Ishimaru A 1978 Wave Propagation and Scattering in Random Media (New York: Academic) p389 [41] [42] [43] Johnson J T 2002 IEEE Trans. Antennas Propag. 50 1361 [44] Jin Y Q 1994 Electromagnetic Scattering Modeling for Quantitative Remote Sensing (Singapore: World Scientific) p43 [45] [46] [47] Johnson J T 2001 Microwave Opt. Techn. Lett. 30 130 [48] Nakayama J 1982 Radio Sci. 17 558 [49]

#### 施引文献

•  [1] Jin Y Q, Liu P, Ye H X 2008 Theory and Method of Numerical Simulation of Composite Scattering From the Object and Randomly Rough Surface (Beijing: Science Press) pp35,66,106-108,121 (in Chinese) [金亚秋、刘 鹏、叶红霞 2008 随机粗糙面与目标复合散射数值模拟理论与方法 (北京:科学出版社)第35, 66, 106-108, 121页] [2] Li Z X, Jin Y Q 2001 Acta Phys. Sin. 50 797 (in Chinese) [李中新、金亚秋 2001 物理学报 50 797] [3] [4] [5] Li Z X, Jin Y Q 2002 Acta Phys. Sin. 51 1403 (in Chinese) [李中新、金亚秋 2002 物理学报 51 1403] [6] Liu P, Jin Y Q 2004 IEEE Trans. Geosci. Remote Sens. 42 950 [7] [8] [9] Li L, He J Q, Liu Z J, Carin L 2003 IEEE Trans. Antennas Propag. 51 810 [10] [11] Xu F, Jin Y Q 2009 IEEE Trans. Antennas Propag. 57 1495 [12] [13] Ye H X, Jin Y Q 2008 Acta Phys. Sin. 57 839 (in Chinese) [叶红霞、金亚秋 2008 物理学报 57 839] [14] [15] Ye H X, Jin Y Q 2009 Acta Phys. Sin. 58 4579 (in Chinese) [叶红霞、金亚秋 2009 物理学报 58 4579] [16] Guan B, Zhang J F, Zhou X Y, Cui T J 2009 IEEE Trans. Geosci. Remote Sens. 47 3399 [17] [18] Wang R, Guo L X, Ma J, Wu Z S 2009 Chin. Phys. B 18 1503 [19] [20] Li Z M, Hao Y, Zhang J C, Xu S R, Ni J Y, Zhou X W 2009 Chin. Phys. B 18 5072 [21] [22] [23] Xie T, He C, William P, Kuang H L, Zou G H, Chen W 2010 Chin. Phys. B 19 024101 [24] [25] Li J, Guo L X, Zeng H, Han X 2009 Chin. Phys. B 18 2757 [26] [27] Li J B, Wang X S, Wang T 2009 Chin. Phys. B 18 3174 [28] Chiu T, Sarabandi K 1999 IEEE Trans. Antennas Propag. 47 902 [29] [30] Ogura H 1975 Phys. Rev. A 11 942 [31] [32] Ogura H, Takahashi N 1985 J. Opt. Soc. Am. A 2 2208 [33] [34] Ding R, Jin Y Q, Ogura H 2010 Acta Phys. Sin. 59 3674 (in Chinese) [丁 锐、金亚秋、小仓久直 2010 物理学报 59 3674] [35] [36] [37] Nakayama J, Ogura H, Sakata M 1981 J. Math. Phys. 22 471 [38] [39] Ishimaru A, Rockway J D, Kuga Y 2000 Waves Rand. Compl. Med. 10 17 [40] Ishimaru A 1978 Wave Propagation and Scattering in Random Media (New York: Academic) p389 [41] [42] [43] Johnson J T 2002 IEEE Trans. Antennas Propag. 50 1361 [44] Jin Y Q 1994 Electromagnetic Scattering Modeling for Quantitative Remote Sensing (Singapore: World Scientific) p43 [45] [46] [47] Johnson J T 2001 Microwave Opt. Techn. Lett. 30 130 [48] Nakayama J 1982 Radio Sci. 17 558 [49]
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##### 出版历程
• 收稿日期:  2010-06-25
• 修回日期:  2011-08-19
• 刊出日期:  2011-06-05

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