• Chinese Optics Letters
  • Vol. 19, Issue 7, 073201 (2021)
Jiu Tang, Guizhong Zhang*, Yufei He, Xin Ding, and Jianquan Yao
Author Affiliations
  • College of Precision Instrument and Optoelectronics Engineering, Tianjin University; Key Laboratory of Optoelectronic Information Technology, Ministry of Education, Tianjin 300072, China
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    DOI: 10.3788/COL202119.073201 Cite this Article Set citation alerts
    Jiu Tang, Guizhong Zhang, Yufei He, Xin Ding, Jianquan Yao. Scattering-amplitude phase in spiderlike photoelectron momentum distributions[J]. Chinese Optics Letters, 2021, 19(7): 073201 Copy Citation Text show less

    Abstract

    The spiderlike structures in the photoelectron momentum distributions of ionized electrons from the hydrogen atom are numerically simulated by using a semiclassical rescattering model (SRM) and solving the time-dependent Schr?dinger equation (TDSE), focusing on the role of the phase of the scattering amplitude. With the SRM, we find that the spiderlike legs shift to positions with smaller transverse momentum values while increasing the phase. The spiderlike patterns obtained by SRM and TDSE are in good agreement upon considering this phase. In addition, the time differences in electron ionization and rescattering calculated by SRM and the saddle-point equations are either in agreement or show very similar laws of variation, which further corroborates the significance of the phase of the scattering amplitude.
    E(t)=E0sin(ωt).

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    sin(ωtc)sin(ωt0sig)ω(tct0sig)cos(ωt0sig)=0.

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    px=vccosθcE0ωcos(ωtc),

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    py=vcsinθc,

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    t0ref=1ω[arccos(ωpx/E0)],

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    vy=py.

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    S=0[v2(t)2+Ip]dt.

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    Δθ=12t0reftcvx2dt+12vy2(tct0ref)12t0sigtcvx2dt+Ip(t0sigt0ref)+α,

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    Δθ=12py2(tct0ref)+α.

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    [k+A(t0sig)]22=Ip,

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    (tct0sig)k=t0sigtcdtA(t),

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    [k+A(tc)]22=[p+A(tc)]22,

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    [p+A(t0ref)]22=Ip.

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    iψ(r,t)t=[122+V(r)+r·E(t)]ψ(r,t),

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    Vabs(r)=11+exp(rr0Δr).

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    ψin(r,t)=Vabs(r)ψ(r,t),

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    ψex(r,t)=[1Vabs(r)]ψ(r,t).

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    Jiu Tang, Guizhong Zhang, Yufei He, Xin Ding, Jianquan Yao. Scattering-amplitude phase in spiderlike photoelectron momentum distributions[J]. Chinese Optics Letters, 2021, 19(7): 073201
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