论文标题

一维光子晶体中光子的量子隧道效应

The quantum tunnel effect of photon in one-dimensional photonic crystals

论文作者

Ren, Ming-li, Liu, Han, Qing-Pan, Han, Meng, Tan, Shan-Shan, Liu, Zhang-Hui, Wu, Xiang-Yao

论文摘要

在本文中,我们通过量子理论方法将光子光子$(AB)^n $中光子的量子透射率,概率密度和概率电流密度提供给了。我们发现量子透射率与经典的透射率相同。当入射角$θ$和定期数字$ n $更改概率密度和概率电流密度是近似周期性变化,并且随着入射角$θ$和定期数字$ n $增加而增加。否则,我们发现当入射光子的频率对应于透射率$ t = 1 $时,概率密度的幅度最大。当入射光子的频率对应于透射率$ t = 0 $时,概率密度的幅度迅速减弱至零,这表明光子晶体中光子的量子隧道效应。

In the paper, we have given the quantum transmissivity, probability density and probability current density of photon in one-dimensional photonic crystals $(AB)^N$ with the quantum theory approach. We find the quantum transmissivity is identical to the classical transmissivity. When the incident angle $θ$ and periodic number $N$ change the probability density and probability current density are approximate periodic change, and their amplitude are increased with the incident angles $θ$ and periodic number $N$ increasing. Otherwise, we find when the frequency of incident photon is corresponding to transmissivity $T=1$, the amplitude of the probability density is the largest. When the frequency of incident photon is corresponding to transmissivity $T=0$, the amplitude of the probability density attenuate rapidly to zero, it indicates that there is the quantum tunnel effect of photon in photonic crystals.

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