A Wave Packet Approach to Resonant Scattering
- URL: http://arxiv.org/abs/2210.17033v1
- Date: Mon, 31 Oct 2022 03:17:36 GMT
- Title: A Wave Packet Approach to Resonant Scattering
- Authors: A. M. Michalik and F. Marsiglio
- Abstract summary: Resonant transmission occurs when constructive interference results in the complete passage of an incoming wave through an array of barriers.
We adopt wave packets with finite width to illustrate the deterioration of resonance with decreasing wave packet width.
A comparison with exact numerical calculations shows excellent agreement, and provides insight into the scattering process.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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.
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