ON THE REFLECTION LAW FOR HELMHOLTZ-EQUATION

被引：0
作者：
SAVINA, TV
STERNIN, BY
SHATALOV, VE
机构：
来源：
RADIOTEKHNIKA I ELEKTRONIKA | 1993年 / 38卷 / 02期
关键词：
Conformal mapping - Differential equations - Fourier transforms - Integral equations - Integration - Mathematical operators - State space methods;
D O I：
暂无
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
The reflection formula is proposed for the case of the Helmholtz equation on a plane. Unlike the Schwarz symmetry classical principle, the formula has nonlocal (integral) character. The main problem is reduced to solution of two special problems for the Helmholtz equation with prescribed specific features of solution. It is noted that the true fundamental solution for the Helmholtz operator has such property that on going round two branching lines simultaneously the transition on the other sheet of the Riemann surface does not take place. The properties of the fundamental reflected solution are investigated.
引用
收藏
页码：229 / 240
页数：12
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