Uniform asymptotic profiles of stationary wave propagation in perturbed two-layered media
Uniform asymptotic profiles of stationary wave propagation in perturbed two-layered media
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扰动两层介质中驻波传播的均匀渐近剖面
DOI：
10.1002/mma.5945
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发表时间：
2020
影响因子：
2.9
通讯作者：
Mitsuteru Kadowaki and Michiyuki Watanabe
中科院分区：
文献类型：
--
作者：
Hiroshi Isozaki;Mitsuteru Kadowaki and Michiyuki Watanabe
我们得到一个渐近展开式，|X| →∞，相对于方向x/|X|的局部扰动双层介质中约化波动方程（亥姆霍兹方程）的解。主要的困难来自广义本征函数的圆锥奇点，由界面处的透射（折射）波引起。经典的固定相法克服了这些困难。
We derive an asymptotic expansion as |x|→∞, uniform with respect to the directionx/|x|, varying over, of solutions to the reduced wave equation (the Helmholtz equation) in locally perturbed two‐layered media in. The main difficulties arise from the conical singularities of the generalized eigenfunctions, caused by the transmitted (refracted) waves at the interface. They are overcome by the classical method of stationary phase.