Resonance scattering in a waveguide with identical thick barriers
Abstract
We consider wave propagation across an infinite waveguide of an arbitrary bounded cross-section, whose interior is blocked by two identical thick barriers with holes. When the holes are small, the waves over a broad range of frequencies are almost fully reflected. However, we show the existence of a resonance frequency at which the wave is almost fully transmitted, even for very small holes. This resonance scattering, which is known as tunneling effect in quantum mechanics, is demonstrated in a constructive way by rather elementary tools, in contrast to commonly used abstract methods such as searching for complex-valued poles of the scattering matrix or non-stationary scattering theory. In particular, we derived an explicit equation that determines the resonance frequency. The employed elementary tools make the paper accessible to non-experts and educationally appealing.
Keywords
Cite
@article{arxiv.2001.07060,
title = {Resonance scattering in a waveguide with identical thick barriers},
author = {A. Delitsyn and D. S. Grebenkov},
journal= {arXiv preprint arXiv:2001.07060},
year = {2021}
}