Dual-channel scattering problem in the cavity-like potential
Dual-channel scattering problem in the cavity-like potential
复制标题
类腔势中的双通道散射问题
DOI：
10.1088/1361-6404/ac4e63
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发表时间：
2022
影响因子：
0.7
通讯作者：
Tomotake Yamakoshi and Shinichi Watanabe
中科院分区：
文献类型：
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作者：
Shuntaro Tani;Yohei Kobayashi;Tomotake Yamakoshi and Shinichi Watanabe
我们讨论了一维双通道势垒散射与腔状结构的时间无关的问题。我们的模型假设，通道相互作用，只有通过腔状结构。该模型能够描述共振散射的基本物理过程，从而使电磁感应透明和Fano共振型线形出现在光谱中。在本文中，我们给出了一个完整的解析解的频谱。此外，使用近似的解决方案，我们展示了如何解释频谱的简化共振条件和零点的外观。结果可以通过简单的数值计算来检查，使这个问题适合作为初学者的教具。
We discuss one-dimensional dual-channel barrier scattering with a cavity-like structure in terms of a time-independent problem. Our model assumes that the channels interact with each other only through the cavity-like structure. The model is capable of describing the essential physics of resonant scattering such that electromagnetically induced transparency and Fano-resonance type lineshapes appear in the spectrum. In this paper, we give a complete analytical solution of the spectrum. In addition, using approximate solutions, we show how the spectrum is explained by the simplified resonant condition and appearance of zero points. The results can be checked by simple numerical calculations, making this problem suitable as a teaching aid for beginners.