An analytic method for the initial value problem of the electric field system in vertical inhomogeneous anisotropic media |
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Authors: | Valery Yakhno Ali Sevimlican |
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Institution: | 1.Izmir,Turkey;2.Electrical and Electronics Engineering Department, Muhandislik Fak.,Dokuz Eylul University,Buca, Izmir,Turkey;3.Department of Mathematics, Fen-Edebiyat Fak.,Dokuz Eylul University,Buca, Izmir,Turkey |
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Abstract: | The time-dependent system of partial differential equations of the second order describing the electric wave propagation in
vertically inhomogeneous electrically and magnetically biaxial anisotropic media is considered. A new analytical method for
solving an initial value problem for this system is the main object of the paper. This method consists in the following: the
initial value problem is written in terms of Fourier images with respect to lateral space variables, then the resulting problem
is reduced to an operator integral equation. After that the operator integral equation is solved by the method of successive
approximations. Finally, a solution of the original initial value problem is found by the inverse Fourier transform. |
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