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In three-layer-parallel-medium mode, the method of secondary equivalent is proposed to derive the analytic expression of the electric field produced by a static electric dipole based on the uniqueness theorem when the source point is located in the middle layer but the field point is located in other layer. That is, the distribution of the electric field is solved when the source point and the field point are located in the same medium using the first equivalent method. Then the three-layer model is equivalent to two-layer model using the second equivalent method. Finally, the mirror image theory is used to obtain the field distribution. The expression of the scalar electric potential is proved to satisfy the boundary conditions, so the derivation results are proved to be effective. In order to prove the correctness of the expression of the scalar electric potential, a three-layer-parallel-medium mode, that is air-seawater-seabed, is simulated in laboratory, and the scalar electric potentials in the space of seawater and in the space of seabed are measured respectively. Some theoretical analyses are performed and the results of the analyses are in accordance with the experimental measurements, so the correctness of the solution is validated. The research results provide a theoretical base for the actual application such as modeling and characteristic analysis of electric field whose basic simulator is the static electric dipole.
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Keywords:
- secondary equivalent method /
- three-layer-parallel-medium mode /
- static electric dipole /
- mirror image method
[1] Zhang H Q, Pan W Y 2001 Chin. J. Radio Sci. 16 5 (in Chinese) [张红旗, 潘威炎 2001 电波科学学报 16 5]
[2] Mao Y,Mao X J, Chen S Y, Wang B, Zhou G Q 2003 J. Seismological Research 26 343 (in Chinese) [毛燕, 毛先进, 陈顺云, 王彬, 周光全 2003 地震研究 26 343]
[3] Li K, Park S O 2003 J. Electromagn. Waves and Appl. 17 1399
[4] Xiao C Y, Lei Y Z 2005 Acta Phys. Sin. 54 1950 (in Chinese) [肖春燕, 雷银照 2005 54 1950]
[5] Ditchfield R W, Mcgrath J N, Tighe-Ford D J 1995 J. Appl. Elec. 25 54
[6] Adey R, Baynham J M W 2007 Simulation of Electrochemical Processes II. Engineering Sciences 54 213
[7] Rawlins P G, Ganderton C P 2002 Conf. Proc. UDT Europe La Spezia, Italy, 2002 p1
[8] Demilier L, Durand C, Rannou C 2007 Simulation of Electro-Chemical Processes II. Engineering Sciences 54 235
[9] King R W P 1993 J. Appl. Phys. 74 4845
[10] King R W P 1994 Radio Science 29 97
[11] Li S D 2002 Ph. D. Dissertation (Wuhan: Navy university of engineering) (in Chinese) [刘胜道 2002 博士学位论文(武汉: 海军工程大学)]
[12] Chen C, Li D G, Gong S G 2010 J. Wuhan Univ. Tech. (T&E) 34 716 (in Chinese) [陈聪, 李定国, 龚沈光 2010 武汉理工大学学报(交通科学与工程版) 37 716]
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[1] Zhang H Q, Pan W Y 2001 Chin. J. Radio Sci. 16 5 (in Chinese) [张红旗, 潘威炎 2001 电波科学学报 16 5]
[2] Mao Y,Mao X J, Chen S Y, Wang B, Zhou G Q 2003 J. Seismological Research 26 343 (in Chinese) [毛燕, 毛先进, 陈顺云, 王彬, 周光全 2003 地震研究 26 343]
[3] Li K, Park S O 2003 J. Electromagn. Waves and Appl. 17 1399
[4] Xiao C Y, Lei Y Z 2005 Acta Phys. Sin. 54 1950 (in Chinese) [肖春燕, 雷银照 2005 54 1950]
[5] Ditchfield R W, Mcgrath J N, Tighe-Ford D J 1995 J. Appl. Elec. 25 54
[6] Adey R, Baynham J M W 2007 Simulation of Electrochemical Processes II. Engineering Sciences 54 213
[7] Rawlins P G, Ganderton C P 2002 Conf. Proc. UDT Europe La Spezia, Italy, 2002 p1
[8] Demilier L, Durand C, Rannou C 2007 Simulation of Electro-Chemical Processes II. Engineering Sciences 54 235
[9] King R W P 1993 J. Appl. Phys. 74 4845
[10] King R W P 1994 Radio Science 29 97
[11] Li S D 2002 Ph. D. Dissertation (Wuhan: Navy university of engineering) (in Chinese) [刘胜道 2002 博士学位论文(武汉: 海军工程大学)]
[12] Chen C, Li D G, Gong S G 2010 J. Wuhan Univ. Tech. (T&E) 34 716 (in Chinese) [陈聪, 李定国, 龚沈光 2010 武汉理工大学学报(交通科学与工程版) 37 716]
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