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Title Image Solution for the 3-D Static Green’s Function of a Vertically Stratified Two-Layer Half-Space
Type JournalPaper
Keywords Dielectrics, Electrostatics, Electric potential, Geometry, Poisson equations, Fourier transforms, Three-dimensional displays
Abstract The general form of 3-D static Green's function for a general structure consisting of N arbitrary adjacent dielectric wedges is derived using the Kontorovich-Lebedev and Fourier transforms. It consists of several point sources in physical space and a line image source in complex space for each region of the problem geometry. While the point sources can be treated conventionally, the line image distributions are obtained by extracting a proper asymptotic behavior of the solution, which can be numerically computed. As an example, the case of a vertically stratified two-layer half-space is investigated and the respective point and line image sources are obtained. The efficiency of the proposed solution method is demonstrated by comparing the computational time for a given structure with that required by a commercially available numerical code using the finite integration technique.
Researchers REZA Shirazi (Third Researcher), Rouzbeh Moini (Fourth Researcher), ٍehsan zareian jahromi (First Researcher), S. H. H. Sadeghi (Second Researcher), hamidreza Karami (Fifth Researcher)