Abstract

Different asymptotic representations of the exact solution of the problem about the oblique incidence of a plane wave on a plasma layer are considered. The plasma layer has a finite thickness and a parabolic profile of the electron density. The large parameter of the asymptotic forms is the ratio of the layer thickness to the wavelength. The following three cases are analyzed: the layer reflecting in the geometrical optics (GO) approximation, the layer being transparent in the GO approximation, and the critical layer. It is shown that the semitransparency effect is significant in the considerable neighborhood of the critical value of the layer parameters for given characteristics of the incident wave. The correct asymptotic forms are suggested for the adequate calculation of this effect. The results of the numerical modeling of the wave field structure are represented in the conditions of the considerable semitransparency effect. These results are compared with the GO solution.

中文翻译：

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半透明非均质等离子体层上由平面波入射形成的波场结构问题的解的渐近表示（模型问题）

摘要

考虑了关于平面波在等离子体层上的倾斜入射的问题的精确解的不同渐近表示。等离子体层具有有限的厚度和电子密度的抛物线轮廓。渐近形式的大参数是层厚度与波长的比率。分析了以下三种情况：以几何光学（GO）近似反射的层，以GO近似透明的层和临界层。结果表明，对于给定的入射波特性，半透明效果在层参数的临界值的相当大的范围内很显着。建议使用正确的渐近形式来适当计算此效果。在相当大的半透明效应的条件下表示了波场结构的数值模拟结果。将这些结果与GO解决方案进行比较。