• Chinese Optics Letters
  • Vol. 13, Issue 12, 123201 (2015)
Yueyue Chen1、2, Xunli Feng3, Zhizhan Xu1, and Chengpu Liu1、*
Author Affiliations
  • 1State Key Laboratory of High Field Laser Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
  • 2University of Chinese Academy of Sciences, Beijing 100039, China
  • 3Department of Physics, Shanghai Normal University, Shanghai 200234, China
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    DOI: 10.3788/COL201513.123201 Cite this Article Set citation alerts
    Yueyue Chen, Xunli Feng, Zhizhan Xu, Chengpu Liu. Bragg reflection in a quantum periodic structure[J]. Chinese Optics Letters, 2015, 13(12): 123201 Copy Citation Text show less
    (a) Reflected field and (b) spectrum of a pulse with A=2π, τp=5 fs incident on a periodic structure with δ=λ0/2, L=45 μm and ωc=0.05 fs−1. The dashed and dotted lines correspond to the leading and tail parts of the reflected fields, respectively.
    Fig. 1. (a) Reflected field and (b) spectrum of a pulse with A=2π, τp=5fs incident on a periodic structure with δ=λ0/2, L=45μm and ωc=0.05fs1. The dashed and dotted lines correspond to the leading and tail parts of the reflected fields, respectively.
    (a) Time evolution of Ω(t) and u(t) in a resonance medium with ωp=ω0. (b) The changing curves of χ′, χ′′, and n versus Δ in the case of (a). (c) Same as that for (b), but for a detuning medium with ωp=2ω0. (d) The reflected spectrum under the same parameters as (c). The other parameters are same as those in Fig. 1.
    Fig. 2. (a) Time evolution of Ω(t) and u(t) in a resonance medium with ωp=ω0. (b) The changing curves of χ, χ, and n versus Δ in the case of (a). (c) Same as that for (b), but for a detuning medium with ωp=2ω0. (d) The reflected spectrum under the same parameters as (c). The other parameters are same as those in Fig. 1.
    A=2π, τp=5 fs, L=45 μm, ωc=0.05 fs−1. The reflected spectra of the periodic structures with δ=kλ0(k=2,1,1/4).
    Fig. 3. A=2π, τp=5fs, L=45μm, ωc=0.05fs1. The reflected spectra of the periodic structures with δ=kλ0(k=2,1,1/4).
    (a)–(e) The reflected spectra of the periodic structures with δ=kλ0(k=2,1,1/2,1/4,1/8). A=4π, ωc=0.2 fs−1, L=150 μm. The other parameters are same as Fig. 3. The dashed line in (a) indicates the reflected spectrum of a bulk medium. (f) The scaling law of the frequency intervals of the spectral spikes against k.
    Fig. 4. (a)–(e) The reflected spectra of the periodic structures with δ=kλ0(k=2,1,1/2,1/4,1/8). A=4π, ωc=0.2fs1, L=150μm. The other parameters are same as Fig. 3. The dashed line in (a) indicates the reflected spectrum of a bulk medium. (f) The scaling law of the frequency intervals of the spectral spikes against k.
    Comparison of the reflected spectra of ωc=0.01 fs−1 (solid line) and ωc=0.05 fs−1 (dashed line).
    Fig. 5. Comparison of the reflected spectra of ωc=0.01fs1 (solid line) and ωc=0.05fs1 (dashed line).
    Yueyue Chen, Xunli Feng, Zhizhan Xu, Chengpu Liu. Bragg reflection in a quantum periodic structure[J]. Chinese Optics Letters, 2015, 13(12): 123201
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