Research on one-dimensional photonic crystals with quantum theory approach

“…In the following, we shall calculate the probability density and the probability current density of photon at every medium layer, they are [19] (1) When 0 < x < a, the photon wave function of medium layer A at the first period is…”

Section: The Probability Density and The Probability Current Density ...mentioning

confidence: 99%

“…(8) in the Ref. [19], we can calculate the probability density of photon in one-dimensional photonic crystals. The probability density of medium layer A at the first period is…”

Section: The Probability Density and The Probability Current Density ...mentioning

confidence: 99%

“…(9) in the Ref. [19], we can obtain the probability current density of photon at every medium layer, they are (1) when 0 < x < a, the probability current density of medium layer A at the first period is…”

Section: The Probability Density and The Probability Current Density ...mentioning

confidence: 99%

“…In Ref. [19], we have proposed quantum theory method of photon to study one-dimensional photonic crystals transmissison characteristic, and calculated the quantum dispersion relation, quantum transmissivity and reflectivity. On this basis, we have further studied the probability density and probability current density of photon in one-dimensional photonic crystals, and studied the effect of incident angle, refractive index, period number, and frequency of incident photon on the probability density and probability current density of photon in one-dimensional photonic crystals.…”

Section: Introductionmentioning

confidence: 99%

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

Ren¹,

Liu²,

Qing-Pan³

et al. 2020

Preprint

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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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