A periodic knitting problem for the Helmholtz equation

被引：1
|
作者：
Smirnov, GV [1 ]
机构：
[1] SISSA,I-34014 TRIESTE,ITALY
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1997年 / 214卷 / 02期
关键词：
D O I：
10.1006/jmaa.1997.5574
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a diffraction of a plane wave incident to a periodic surface separating two dielectric materials with different real dielectric coefficients. Existence and uniqueness of solution to a periodic knitting problem for the Helmholtz equation is proved. Moreover we prove that the solution can be approximated by linear combinations of reflected and transmitted waves (the Rayleigh method). (C) 1997 Academic Press.
引用
收藏
页码：395 / 419
页数：25
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