A General Form of the Electromagnetic Reciprocity Theorems
Liu Guoqiang1,2, Liu Jing1,2
1. Institute of Electrical Engineering Chinese Academy of Sciences Beijing 100190 China;
2. School of Electronic, Electrical and Communication Engineering University of Chinese Academy of Sciences Beijing 100049 China
The existing reciprocity theorems describe the electromagnetic field interaction relationships independently of each other.In this paper, a general form of electromagnetic reciprocity theorem is derived by using quaternion theoretical framework. The real scalar part, imaginary scalar part, real and imaginary sagittal part of this form correspond to the classical electromagnetic reciprocity theorem, i.e. the Lorentz reciprocity theorems, the Feld-Tai reciprocity theorem and two newly discovered momentum reciprocity theorems respectively.
刘国强, 刘婧. 电磁互易定理一般形式[J]. 电工技术学报, 2023, 38(1): 281-284.
Liu Guoqiang, Liu Jing. A General Form of the Electromagnetic Reciprocity Theorems. Transactions of China Electrotechnical Society, 2023, 38(1): 281-284.
[1] Lorentz H A . The theorem of Poynting concerning the energy in the electromagnetic field and two general propositions concerning the propagation of light[J]. AmsterdammerAkademie der Wetenschappen, 1896, 4: 176.
[2] Feld Y N.On the quadratic lemma in electrodynamics[J]. Soviet Physics-Doklady, 1992, 37: 235-236.
[3] Tai C T.Complementary reciprocity theorems in electromagnetic theory[J]. IEEE Transactions on Antennas and Propagation, 1992, 40(6): 675-681.
[4] Lindell I V, Sihvola A H.Rumsey's reaction concept generalized[J]. Progress in Electromagnetics Research Letters, 2020, 89: 1-6.
[5] Liu Guoqiang, Li Yuanyuan, Liu Jing.A mutual momentum theorem for electromagnetic field[J]. IEEE Antennas and Wireless Propagation Letters, 2020, 19(12): 2159-2161.
[6] 刘国强, 刘婧, 李元园. 电磁场广义互易定理[M]. 北京: 科学出版社, 2020.
[7] 许方官. 四元数物理学. 北京: 北京大学出版社. 2012.
[8] 符果行. 工程电磁理论方法. 北京: 人民邮电出版社, 1991.
[9] 刘国强,刘婧. 利用电磁场动量互易定理导出惠更斯原理[J]. 物理学报, 2022, 71(14): 140301.
Liu Guoqiang, Liu Jing.Huygens’ principle derived by using momentum reciprocity theorem of electromagnetic field[J]. Acta Physica Sinica, 2022, 71(14): 140301.
[10] Zhao Qing, Li Jie, Liu Shi, et al.The sensitivity optimization guided imaging method for electrical capacitance tomography[J]. IEEE Transactions on Instrumentation and Measurement, 2021, 70: 1-15.
[11] 郭亮, 王祥业, 姜文聪. 基于生成对抗网络的注入电流式热声成像逆问题研究[J]. 电工技术学报, 2021, 36(增刊1): 22-30.
Guo Liang, Wang Xiangye, Jiang Wencong.The study on the inverse problem of applied current thermo-acoustic imaging based on generative adversarial network[J]. Transactions of China Electrotechnical Society, 2021, 36(S1): 22-30.
[12] 李彩莲, 李元园, 刘国强. 基于磁声电技术的肺部组织成像仿真研究[J]. 电工技术学报, 2021, 36(4): 732-737.
Li Cailian, Li Yuanyuan, Liu Guoqiang.Simulation of lung tissue imaging based on magneto-acousto-electrical technology[J]. Transactions of China Electrotechnical Society, 2021, 36(4): 732-737.
[13] 马任, 周晓青, 张顺起, 等. 磁声成像系统矩阵特征值差异性仿真研究[J]. 电工技术学报, 2021, 36(4): 724-731.
Ma Ren, Zhou Xiaoqing, Zhang Shunqi, et al.Simulation study on the eigenvalue difference of the system matrix in magneto-acoustic tomography[J]. Transactions of China Electrotechnical Society, 2021, 36(4): 724-731.