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When solving electromagnetic scattering problem with T-matrix method, if the scattering obstacles have point-group symmetry, i.e. remaining unchanged under the group transformation, we can obtain the relationship between geometric symmetry and symmetry of elements in T matrix by the usage of group theory. In this way we can foresee the exact values of some matrix elements, as well as relations between elements, which would save numerous running time in numerical calculation.
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Keywords:
- group theory /
- symmetric structure /
- electromagnetic scattering /
- symmetric operator
[1] Zhu F, Ren L 1997 Sci. China Ser. E 27 249 (in Chinese) [朱峰, 任朗 1997 中国科学E辑 27 249]
[2] Zhu F, Ren L 1997 Chin. J. Comput. Phys. 14 217 (in Chinese) [朱峰, 任朗 1997计算物理 14 217]
[3] Zhu F, Ren L, Zhang S M 1997 J. Microwaves 13 134 (in Chinese) [朱峰, 任朗, 张善谋 1997 微波学报 13 134]
[4] Liu X L, Zhu M Z, Lu L 2012 Acta Phys. Sin. 61 220301 (in Chinese) [刘祥龙, 朱满座, 路璐 2012 61 220301]
[5] Zhang H T, Gong M L, Wang D S, Li W, Zhao D Z 2004 Acta Phys. Sin. 53 2060 (in Chinese) [张海涛, 巩马理, 王东生, 李伟, 赵达尊 2004 53 2060]
[6] Cohoon D K 1980 IEEE Trans. Antennas Propag. 28 104
[7] Stiles J M, Apte A V 2002 IEEE Trans. Geosci. Remote Sens. 40 1802
[8] Kahnert M 2005 J. Opt. Soc. A 22 1187
[9] Ganesh M, Hawkins S C 2010 J. Comput. Appl. Math. 234 1702
[10] Waterman P C 1965 Proc. IEEE 53 805
[11] Ma Z Q 1998 Group Theory in Physics (Beijing: Science Press) p280 (in Chinese) [马中骐 1998 物理学中的群论(北京: 科学出版社)第280页]
[12] Varshalovich D A 1988 Quantum Theory of Angular Momentum (Singapore: World Scientific) p127
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[1] Zhu F, Ren L 1997 Sci. China Ser. E 27 249 (in Chinese) [朱峰, 任朗 1997 中国科学E辑 27 249]
[2] Zhu F, Ren L 1997 Chin. J. Comput. Phys. 14 217 (in Chinese) [朱峰, 任朗 1997计算物理 14 217]
[3] Zhu F, Ren L, Zhang S M 1997 J. Microwaves 13 134 (in Chinese) [朱峰, 任朗, 张善谋 1997 微波学报 13 134]
[4] Liu X L, Zhu M Z, Lu L 2012 Acta Phys. Sin. 61 220301 (in Chinese) [刘祥龙, 朱满座, 路璐 2012 61 220301]
[5] Zhang H T, Gong M L, Wang D S, Li W, Zhao D Z 2004 Acta Phys. Sin. 53 2060 (in Chinese) [张海涛, 巩马理, 王东生, 李伟, 赵达尊 2004 53 2060]
[6] Cohoon D K 1980 IEEE Trans. Antennas Propag. 28 104
[7] Stiles J M, Apte A V 2002 IEEE Trans. Geosci. Remote Sens. 40 1802
[8] Kahnert M 2005 J. Opt. Soc. A 22 1187
[9] Ganesh M, Hawkins S C 2010 J. Comput. Appl. Math. 234 1702
[10] Waterman P C 1965 Proc. IEEE 53 805
[11] Ma Z Q 1998 Group Theory in Physics (Beijing: Science Press) p280 (in Chinese) [马中骐 1998 物理学中的群论(北京: 科学出版社)第280页]
[12] Varshalovich D A 1988 Quantum Theory of Angular Momentum (Singapore: World Scientific) p127
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