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SCATTERING BY AN INFINITE CIRCULAR DIELECTRIC CYLINDER COATING ECCENTRICALLY AN ELLIPTIC DIELECTRIC ONE

机译:无限圆形介电缸涂层偏离椭圆电介质件散射

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The scattering of a plane electromagnetic wave from an infinite circular dielectric cylinder, coating eccentrically an elliptic dielectric one, is examined Both E and H polarizations are treated for normal incidence The electrorpagnetic field is expressed in terms of both circular and elliptical cylindrical wave functions Using transformation theorems between the field expressions in different coordinate systems, for the satisfaction of the boundary conditions, we obtain two infinite sets of lineal nonhomogeneous equations for the expansion coefficients of the field For small values of h=kic/2, where fe is the wavenumber of the dielectric coating and c is the interfbcal distance Of the elliptic cylinder, we conclude with semianalytical expressions of the form S(h)=S(0)[+gh1+O(h*)] for the scattered field and the scattering cross sections The coefficients g are independent of h while S(Q) corresponds to the eccentric circular problem Numerical results aTe given for various values of the parameters.
机译:从无限圆形介电缸中散射平面电磁波,涂覆偏心椭圆电介质件,被检查E和H偏振,用于正常入射,以使用变换的圆形和椭圆形圆柱波函数表示电磁场的电磁场不同坐标系的现场表达式的定理,为了满足边界条件,我们获得了用于较小值H = kic / 2的场的膨胀系数的两个无限的线性非均匀方程,其中Fe是波数介电涂层和C是椭圆圆筒的跨界距离,我们得出散射场和散射交叉的形式S(H)= S(0)[ + GH1 + O(H *)的半显式表达式系数G与H独立于H而S(Q)对应于偏心圆形问题的数值结果,其给予各种值的数值结果e参数。

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