ON ACOUSTIC HELMHOLTZ RESONATOR AND ON ITS ELECTROMAGNETIC ANALOG

被引：10
|
作者：
GADYLSHIN, RR
机构：
[1] Institute of Mathematics, Russian Academy of Sciences, Ufa, 450000, Chernyshevskiǐ str.
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 1994年 / 35卷 / 07期
关键词：
D O I：
10.1063/1.530478
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A study of the acoustic Helmholtz resonator and of its electromagnetic analog (a cylinder with a narrow slit) is performed. For the associated Green functions, power series asymptotics with respect to a small parameter epsilon (''radius'' of the resonator hole or the width of the slit), and In epsilon of poles tau(epsilon) with small imaginary parts are obtained by using the method of matching asymptotic expansions. The principal terms of solution asymptotics for corresponding boundary value problems are given.
引用
收藏
页码：3464 / 3481
页数：18
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