Geodesic
Remark on resonance scattering by two barriers in a waveguide
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 7, pp. 1289-1293

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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. 
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     author = {A. L. Delitsyn},
     title = {Remark on resonance scattering by two barriers in a waveguide},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
     volume = {52},
     number = {7},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_7_a10/}
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A. L. Delitsyn. Remark on resonance scattering by two barriers in a waveguide. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 7, pp. 1289-1293. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_7_a10/