Spectral Characteristics of Waveguide Systems

被引：2
作者：
M. D. Malykh
机构：
来源：
Computational Mathematics and Modeling | 2003年 / 14卷 / 4期
关键词：
Mathematical Modeling; Computational Mathematic; Spectral Characteristic; Industrial Mathematic; Continuous Spectrum;
D O I：
10.1023/A:1026197606541
中图分类号：
学科分类号：
摘要：
The existence of waveguide trapped modes is considered. We prove that trapped modes embedded in a continuous spectrum are unstable in the presence of small real perturbations of the waveguide filling.
引用
收藏
页码：379 / 382
页数：3
相关论文
共 19 条
[1]  
Werner P.(1987)Resonanzphaenomene in akustischen und elektromagnetischen Wellenleitern Z. Angew. Math. Mech. 67 43-54
[2]  
Delitsyn A. L.(2000)The problem of scattering by a nonhomogeneity in a waveguide ZhVM 40 606-610
[3]  
Jones D. S.(1954)The eigenvalues of ∇ Proc. Camb. Phil. Soc. 49 668-684
[4]  
Evans D. V.(1998)+λ Quart. J. Mech. Appl. Math. 51 263-274
[5]  
Porter R.(1998) when the boundary conditions are on semi-infinite domains Quart. J. Mech. Appl. Math. 51 477-492
[6]  
Davies E. B.(2002)Trapped modes embedded in the continuous spectrum ZhVM 43 147-152
[7]  
Parnovski L.(2002)Trapped modes in acoustic waveguides ZhVM 42 1833-1847
[8]  
Bogolyubov A. N.(2002)An example of trapped modes in an irregular waveguide Dokl. RAN 385 744-746
[9]  
Delitsyn A. L.(2001)esonance phenomena in a waveguide with a nonhomogeneous filling Vestnik MGU, Ser. 3, Phys. Astron. 5 23-25
[10]  
Malykh M. D.(undefined)Instability of waveguide eigenvalues embedded in a continuous spectrum under perturbations of the waveguide filling undefined undefined undefined-undefined
12