论文标题
波数据包的谐振散射方法
A Wave Packet Approach to Resonant Scattering
论文作者
论文摘要
当建设性干扰导致传入波通过一系列障碍物的完全通过时,就会发生共振。在本文中,我们通过一维模型探讨了这种情况。我们采用有限宽度的波数据包,以减少波数据包宽度来说明共振的恶化,并提出了传输和反射的组件的近似波函数,这些函数来自波数据包和平面波接近的各个方面。与精确的数值计算的比较显示出极好的一致性,并提供了对散射过程的见解。
Resonant transmission occurs when constructive interference results in the complete passage of an incoming wave through an array of barriers. In this paper we explore such a scenario with one dimensional models. We adopt wave packets with finite width to illustrate the deterioration of resonance with decreasing wave packet width, and suggest an approximate wave function for the transmitted and reflected components, derived from aspects of both the wave packet and plane wave approaches. A comparison with exact numerical calculations shows excellent agreement, and provides insight into the scattering process.