Evolution of Time-Harmonic Electromagnetic and Acoustic Waves Along Waveguides

被引：2
|
作者：
Nursultanov, Medet [1 ,2 ]
Rosen, Andreas [1 ,2 ]
机构：
[1] Chalmers Univ Technol, Dept Math, S-41258 Gothenburg, Sweden
[2] Univ Gothenburg, S-41258 Gothenburg, Sweden
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2018年 / 90卷 / 05期
关键词：
Helmholtz equation; Maxwell's equations; Electromagnetic waveguide; Acoustic waveguide; Functional calculus;
D O I：
10.1007/s00020-018-2472-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study time-harmonic electromagnetic and acoustic waveguides, modeled by an infinite cylinder with a non-smooth cross section. We introduce an infinitesimal generator for the wave evolution along the cylinder and prove estimates of the functional calculi of these first order non-self adjoint differential operators with non-smooth coefficients. Applying our new functional calculus, we obtain a one-to-one correspondence between polynomially bounded time-harmonic waves and functions in appropriate spectral subspaces.
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收藏
页数：32
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