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Three-dimensional static Green's function for a half space over mixed PEC and dielectric wedges
Affiliation:1. Electromagnetics Research Laboratory, Amirkabir University of Technology, Tehran, Iran;2. Department of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran;3. Department of Electrical, Electronic, and Information Engineering, University of Bologna, Bologna, Italy;1. Environment and Chemistry Department, Technology Research Institute of Osaka Prefecture, 2-7-1 Ayumino, Izumi, Osaka 594-1157, Japan;2. Department of Mechanical Engineering, Osaka Prefecture University, 1-1 Gakuen-cho, Naka-ku, Sakai 599-8531, Japan;1. Ioffe Physico-Technical Institute of Russian Academy of Sciences, 26 Politekhnicheskaya, 194021 St. Petersburg, Russia;2. CREE Inc., 4600 Silicon Dr., Durham, NC 27703, USA
Abstract:A pseudo-analytical solution technique is proposed to determine the three-dimensional static Green's function for a half space over mixed perfect electric conductor-dielectric wedges. The governing Poisson's equation is solved, using the Kontorovich–Lebedev and Fourier transforms. The solution, expressed in terms of image contributions, consists of an excitation point source, a set of point images in physical space, and two line images located in complex space for each region of the problem geometry. The validity of the proposed technique is confirmed by comparing our results with the existing analytical solutions and those obtained numerically using the using a finite integration code.
Keywords:Electrostatic  Green's function  Poisson's equation  Sea-land  Wedge
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