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Based on the reciprocity theorem, the far field formulation of an arbitrarily oriented electric dipole located at the interface of the layered half space is deduced. Then, considering the optical path difference between directed wave and reflected wave, the formula of the electric dipole located above the interface of the layered half space is discussed. The TE and the TM reflection coefficients of the layered half space can be calculated by the propagation matrix method or the continued fraction method. The presente method, in which the deduction process possesses concise physics concept, is suitable for calculating the radiated field of an electric dipole when the observation point is away from the interface. The numerical results show that using our method the far radiation field of an arbitrarily oriented electric dipole located above the interface of layered half space can be guickly analyzed.
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Keywords:
- electric dipole /
- layered half space /
- reciprocity theorem /
- far radiated field
[1] Jackson J D 1999 Classical Electrodynamic (3rd Ed.) (New York John Wiley & Sons)
[2] Kong J A 2002 Electromagnetic Wave Theory (Beijing: Higher Education Press, EMW Publishing)
[3] Wait J R 1985 Electromagnetic Wave Theory (New York: Harper & Row Publishers)
[4] Li K 2009 Electromagnetic Fields in Stratified Media (Hangzhou: Zhejiang University Press, Springer Publishing)
[5] Ge D B, Wei B 2011 Electromagnetic Wave Theory (Beijing: Science Press) (in Chinese) [葛德彪, 魏兵 2011 电磁波理论(科学出版社)]
[6] Stratton J A 1941 Electromagnetic Theory (New York:McGrawHill)
[7] Kraus J D, Fleisch D A 1999 Electromagnetics with Applications (5th Ed.) (New York: McGraw-Hill)
[8] Zhang S J 2009 Engineer Electromagnetic Theory (Beijing: Science Press) [张善杰 2009 工程电磁理论 (科学出版社)]
[9] Yang T M, Xie Y J, Wang P, Yang R 2007 Chinese J. Geoghysics 50 605 (in Chinese) 杨同敏, 谢拥军, 王鹏, 杨锐 2007 地球 50 605]
[10] Fan Z H, Liu J Q, Hu Y Q, Chen R S 2010 Chin. J. Computaion Physics 27 95 (in Chinese) [樊振宏, 刘金权, 胡云琴, 陈如山 2010 计算物理 27 95]
[11] Zhang X Y, Sheng X Q 2007 Chinese J. Radio Science 22 952 (in Chinese) [张晓燕, 盛新庆 2007 电波科学学报 22 952]
[12] Li X F, Xie Y J,Wang P, Yang R 2008 Acta Phys. Sin. 57 2930 (in Chinese) [李晓峰, 谢拥军, 王鹏, 杨锐 2008 57 2930]
[13] 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]
[14] Ye H X, Jin Y Q 2009 Acta Phys. Sin. 58 4579 (in Chinese) [叶红霞, 金亚秋 2009 58 4579]
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[1] Jackson J D 1999 Classical Electrodynamic (3rd Ed.) (New York John Wiley & Sons)
[2] Kong J A 2002 Electromagnetic Wave Theory (Beijing: Higher Education Press, EMW Publishing)
[3] Wait J R 1985 Electromagnetic Wave Theory (New York: Harper & Row Publishers)
[4] Li K 2009 Electromagnetic Fields in Stratified Media (Hangzhou: Zhejiang University Press, Springer Publishing)
[5] Ge D B, Wei B 2011 Electromagnetic Wave Theory (Beijing: Science Press) (in Chinese) [葛德彪, 魏兵 2011 电磁波理论(科学出版社)]
[6] Stratton J A 1941 Electromagnetic Theory (New York:McGrawHill)
[7] Kraus J D, Fleisch D A 1999 Electromagnetics with Applications (5th Ed.) (New York: McGraw-Hill)
[8] Zhang S J 2009 Engineer Electromagnetic Theory (Beijing: Science Press) [张善杰 2009 工程电磁理论 (科学出版社)]
[9] Yang T M, Xie Y J, Wang P, Yang R 2007 Chinese J. Geoghysics 50 605 (in Chinese) 杨同敏, 谢拥军, 王鹏, 杨锐 2007 地球 50 605]
[10] Fan Z H, Liu J Q, Hu Y Q, Chen R S 2010 Chin. J. Computaion Physics 27 95 (in Chinese) [樊振宏, 刘金权, 胡云琴, 陈如山 2010 计算物理 27 95]
[11] Zhang X Y, Sheng X Q 2007 Chinese J. Radio Science 22 952 (in Chinese) [张晓燕, 盛新庆 2007 电波科学学报 22 952]
[12] Li X F, Xie Y J,Wang P, Yang R 2008 Acta Phys. Sin. 57 2930 (in Chinese) [李晓峰, 谢拥军, 王鹏, 杨锐 2008 57 2930]
[13] 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]
[14] Ye H X, Jin Y Q 2009 Acta Phys. Sin. 58 4579 (in Chinese) [叶红霞, 金亚秋 2009 58 4579]
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