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提出用时域积分方程法(TDIE)与时域基尔霍夫近似法(TDKA)的混合算法来求解二维导体随机粗糙面及其上方二维导体目标的复合瞬态散射,推导出了在TM波入射情形下显式及隐式格式的时间步进方程.将粗糙面与目标分别进行TDKA和TDIE计算,并考虑目标与粗糙面之间的耦合,对TDKA和TDIE进行混合迭代,既大大降低了粗糙面求解的复杂度,又保证了计算精度.数值算例中,考虑了角反射器(开放体)和圆柱(封闭体)两种目标,分别计算了目标表面电流响应和电场远场响应.计算结果表明,和单纯TDIE法相比,本文混合方法计算效率
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关键词:
- 随机粗糙面 /
- 复合瞬态散射 /
- 时域积分方程法和时域基尔霍夫近似法 /
- 混合算法
A hybrid algorithm of time domain integral equation (TDIE) and time domain Kirchhof approximation (TDKA) is proposed to compute the TM transient scattering from a 2-dimensional (2D) perfectly conducting (PEC) target above 2D PEC randomly rough surface. Explicit and implicit procedures of Marching-on-in-time (MOT) are developed, respectively. TDKA is applied to the rough surface while TDIE is applied to the target, and the mixed iteration of TDIE/TDKA is introduced to take into account the interactions between the target and the rough surface. In numerical examples, both bent strip (open structure) and cylinder (closed struc- ture) are considered and numerical results present the target surface current response and the far scattered electric field response, which are compared with those obtained from whole TDIE. Numerical results demonstrate the efficiency and the accuracy of the hybrid algorithm. Still in numerical examples, the influence on the far scattered electric field caused by the target is discussed.-
Keywords:
- randomly rough surface /
- composite transient scattering /
- TDIE and TDKA /
- hybrid algorithm
[1] Ye H X, Jin Y Q 2008 Chin. Phys. B 17 839
[2] Ye H X, Jin Y Q 2008 Acta Phys. Sin. 57 839 (in Chinese)[叶红霞、金亚秋 2008 57 839]
[3] Wang R, Guo L X, Wang A Q 2010 Acta Phys. Sin. 59 3179 (in Chinese) [王 蕊、郭立新、王安琪 2010 59 3179]
[4] Li J, Guo L X, Zeng H, Han X B 2009 Chin. Phys. B 18 2757
[5] Guo L X, Wang Y H, Wu Z S 2005 Acta Phys. Sin. 54 5130 (in Chinese)[郭立新、王运华、吴振森 2005 54 5130]
[6] Nie D, Zhang M 2010 Chin. Phys. B 19 074101
[7] Guo L X, Wang R, Wu Z S 2010 Chin. Phys. B 19 044102
[8] Ji W J 2011 Acta Phys. Sin. 60 010300 (in Chinese) [姬伟杰 2011 60 010300]
[9] Wang R, Guo L X, Ma J, Wu Z S 2009 Chin. Phys. B 18 1503
[10] 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]
[11] Wang Y H, Zhang Y M, He H X, Guo L X 2008 Chin. Phys. B 17 3696
[12] Wang R, Guo L X 2009 Science in China 39 201 (in Chinese) [王 蕊、郭立新 2009 中国科学 39 201]
[13] Qin S T, Gong S X, Wang R, Guo L X, 2010 Progress In Electromagnetics Research 102 181
[14] Rao S M 1999 Time Domain Electromagenetics (ACADEMIC) Ch. 3
[15] Rynne B P 1986 Electromagnetics 6 129
[16] Vechinski D A, Rao S M 1992 IEEE Trans. on Antennas and Propagation 40 661
[17] Ge D B, Yan Y B 2005 Finite-Difference Time-Domain Method for Electromagnetic Waves (Xi'an of China: Xidian Press) Ch. 5, Ch.11(in Chinese)[葛德彪、闫玉波 2005 电磁波时域有限差分方法(西安:西电出版社)第5,11章]
[18] Tsang L, Kong J A 2001 Scattering of Electromagnetic Waves: Numerical simulations (New York : John Wiley & Sons Inc. ) Ch. 4
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[1] Ye H X, Jin Y Q 2008 Chin. Phys. B 17 839
[2] Ye H X, Jin Y Q 2008 Acta Phys. Sin. 57 839 (in Chinese)[叶红霞、金亚秋 2008 57 839]
[3] Wang R, Guo L X, Wang A Q 2010 Acta Phys. Sin. 59 3179 (in Chinese) [王 蕊、郭立新、王安琪 2010 59 3179]
[4] Li J, Guo L X, Zeng H, Han X B 2009 Chin. Phys. B 18 2757
[5] Guo L X, Wang Y H, Wu Z S 2005 Acta Phys. Sin. 54 5130 (in Chinese)[郭立新、王运华、吴振森 2005 54 5130]
[6] Nie D, Zhang M 2010 Chin. Phys. B 19 074101
[7] Guo L X, Wang R, Wu Z S 2010 Chin. Phys. B 19 044102
[8] Ji W J 2011 Acta Phys. Sin. 60 010300 (in Chinese) [姬伟杰 2011 60 010300]
[9] Wang R, Guo L X, Ma J, Wu Z S 2009 Chin. Phys. B 18 1503
[10] 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]
[11] Wang Y H, Zhang Y M, He H X, Guo L X 2008 Chin. Phys. B 17 3696
[12] Wang R, Guo L X 2009 Science in China 39 201 (in Chinese) [王 蕊、郭立新 2009 中国科学 39 201]
[13] Qin S T, Gong S X, Wang R, Guo L X, 2010 Progress In Electromagnetics Research 102 181
[14] Rao S M 1999 Time Domain Electromagenetics (ACADEMIC) Ch. 3
[15] Rynne B P 1986 Electromagnetics 6 129
[16] Vechinski D A, Rao S M 1992 IEEE Trans. on Antennas and Propagation 40 661
[17] Ge D B, Yan Y B 2005 Finite-Difference Time-Domain Method for Electromagnetic Waves (Xi'an of China: Xidian Press) Ch. 5, Ch.11(in Chinese)[葛德彪、闫玉波 2005 电磁波时域有限差分方法(西安:西电出版社)第5,11章]
[18] Tsang L, Kong J A 2001 Scattering of Electromagnetic Waves: Numerical simulations (New York : John Wiley & Sons Inc. ) Ch. 4
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