• Chinese Optics Letters
  • Vol. 14, Issue 3, 030201 (2016)
Xiaolong Yuan1、3, Candong Liu1、*, Pengfei Wei2、**, Zhinan Zeng1、***, and Ruxin Li1
Author Affiliations
  • 1State Key Laboratory of High Field Laser Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
  • 2Department of Physics, Shaoxing University, Shaoxing 312000, China
  • 3University of Chinese Academy of Sciences, Beijing 100039, China
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    DOI: 10.3788/COL201614.030201 Cite this Article Set citation alerts
    Xiaolong Yuan, Candong Liu, Pengfei Wei, Zhinan Zeng, Ruxin Li. Contribution of multiple electron rescatterings on high-order harmonic generation in the mid-infrared wavelength regime[J]. Chinese Optics Letters, 2016, 14(3): 030201 Copy Citation Text show less

    Abstract

    We theoretically investigate multiple electron rescatterings in high-order harmonic generation with a wide range of driving laser wavelengths. In order to obtain a clear and intuitive insight, the time-frequency analysis of the dipole acceleration calculated by the numerical solution of the time-dependent Schr dinger equation is performed and compared with the classical electron trajectory calculation. The result shows that in the mid-infrared regime, the high-order electron trajectory associated with multiple rescatterings plays a more important role than the usually referred-to “long and “short” electron trajectories. To provide quantitative evidence, the strong-field approximation is used to calculate the yield ratio of the high-order harmonic generation from the first rescattering and the multiple rescatterings.
    0=x(ti)x(tr)=titrtitE(t)dtdt,(1)

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    iΨ(x⃗,t)t=[122+V(x)+x⃗·F⃗(t)]Ψ(x⃗,t),(2)

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    Aw(t0,ω)=d(t)wt,0ω(t)dt=d(t)ωW(ω(tt0))dt.(3)

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    W(x)=(1/τ)eixex2/2τ2.(4)

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    r⃗(t)=i0dτ(πε+iτ/2)3/2d⃗*[p⃗s(t,τ)A⃗(t)]g*(t)eiS(p⃗s,t,τ)F⃗(tτ)d⃗[p⃗s(t,τ)A⃗(tτ)]g(t)+c.c.,(5)

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    d⃗1s(p⃗)=i27/2πIp5/4p⃗(p⃗2+Ip)3.(6)

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    r⃗(t)=0T0r⃗(t)dt+T0r⃗(t)dt,(9)

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    Xiaolong Yuan, Candong Liu, Pengfei Wei, Zhinan Zeng, Ruxin Li. Contribution of multiple electron rescatterings on high-order harmonic generation in the mid-infrared wavelength regime[J]. Chinese Optics Letters, 2016, 14(3): 030201
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