Implementation of the extinction theorem in a problem of Airy pulse scattering by a dielectric layer

O. V. Kuryzeva, A. Tkach, A. Nerukh
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Abstract

A problem of Airy pulse transformation by a plane-parallel layer is considered. Solving of this problem is made by the Volterra integral equation method in two stages. Finding of an electrical field inside a layer is implemented on the first stage. The fields of reflected as well as transmitted pulses are calculated on the second stage. The virtual structure of the pulse field inside the layer consists of some terms one of which extinctions the initial pulse according to the Ewald-Oseen extinction theorem.
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消光定理在电介质层艾里脉冲散射问题中的实现
研究了平面平行层对艾里脉冲的变换问题。采用Volterra积分方程法分两个阶段求解该问题。在第一阶段实现了层内电场的查找。在第二级计算了反射和透射脉冲的场。层内脉冲场的虚结构由若干项组成,其中一项根据ewald - osee消光定理使初始脉冲消光。
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