Resonance scattering in a waveguide with identical thick perforated barriers

作者:

Highlights:

• We study wave propagation in a waveguide blocked by two perforated thick barriers.

• For small holes, waves over a broad range of frequencies are almost fully reflected.

• However, there is a resonance frequency at which the wave is almost fully transmitted.

• An explicit equation that determines the resonance frequency is derived.

• The proof is constructive, uses elementary tools and is educationally appealing.

摘要

•We study wave propagation in a waveguide blocked by two perforated thick barriers.•For small holes, waves over a broad range of frequencies are almost fully reflected.•However, there is a resonance frequency at which the wave is almost fully transmitted.•An explicit equation that determines the resonance frequency is derived.•The proof is constructive, uses elementary tools and is educationally appealing.

论文关键词:Wave propagation,Quantum waveguide,Resonance scattering,Tunneling effect,Barriers

论文评审过程:Received 17 February 2020, Revised 25 November 2020, Accepted 9 August 2021, Available online 18 August 2021, Version of Record 18 August 2021.

论文官网地址:https://doi.org/10.1016/j.amc.2021.126592