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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 7, Pages 1289–1293 (Mi zvmmf9606)  
Remark on resonance scattering by two barriers in a waveguide

A. L. Delitsyn

M. V. Lomonosov Moscow State University, Faculty of Physics
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Abstract: For resonance scattering by two infinitely thin barriers in a waveguide, an elementary proof is given for the existence of a frequency at which the reflection coefficient is arbitrarily low. The proof is obtained using only the method of mode matching. It turns out that the existence of resonances, which are the complex poles of the Green’s function of the scattering problem, do not need to be considered in the method.
Key words: Helmholtz equation, waveguides, resonance scattering.
Received: 14.12.2011
Revised: 06.03.2012
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 7, Pages 1055–1059
DOI: https://doi.org/10.1134/S0965542512070044
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. L. Delitsyn, “Remark on resonance scattering by two barriers in a waveguide”, Zh. Vychisl. Mat. Mat. Fiz., 52:7 (2012), 1289–1293; Comput. Math. Math. Phys., 52:7 (2012), 1055–1059
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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