论文标题
在具有相同厚屏障的波导中的共振散射
Resonance scattering in a waveguide with identical thick barriers
论文作者
论文摘要
我们考虑在任意有限的横截面的无限波导上的波传播，其内部被两个带有孔的相同的厚屏障阻塞。当孔很小时，几乎完全反射了众多频率的波。但是，我们显示了一个共振频率的存在，即即使是很小的孔，波浪也几乎完全传播。与常用的抽象方法相比，这种共振散射以建设性的方式被称为量子力学中的隧道效应，以一种建设性的方式证明了这种散射，例如搜索散射基质或非机构散射理论的复杂价值电线。特别是，我们得出了一个确定共振频率的显式方程。所采用的基本工具使该论文可容纳非专家和教育吸引力。
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.
