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arXiv · 2009.14691

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

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

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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Ming-li Ren, Han Liu, Qing-Pan, Meng Han, Shan-Shan Tan, Zhang-Hui Liu, Xiang-Yao Wu. 2020-09-30. The quantum tunnel effect of photon in one-dimensional photonic crystals. https://arxiv.org/abs/2009.14691

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