Photoelectron holography in tunneling ionization of atoms by counter-rotating two-color elliptically polarized laser field

Huang Xue-Fei; Su Jie; Liao Jian-Ying; Li Ying-Bin; Huang Cheng

doi:10.7498/aps.71.20212226

Abstract

In this paper, photoelectron interference in tunneling ionization of atoms by counter-rotating two-color elliptically polarized (TCEP) laser fields are investigated by numerically solving the two-dimensional time-dependent Schrödinger equation (TDSE) and strong field approximation (SFA). When the ellipticities of the two pulses are both 0.3, for a relative phase of 0.25π, the intracycle interference, fork-like holographic interference and arc-like holographic interference in the photoelectron momentum distribution overlap with each other. For a relative phase of 0, the arc-like holographic interference disappears and the intracycle interference and fork-like holographic interference are fully separated into the –p_x direction and the +p_x direction. Furthermore, the independent fork-like holographic interference can be enhanced or suppressed by changing the ellipticities of the two pulses. This provides an efficient tool for controlling and separating the interference structures in the photoelectron momentum distribution, which facilitates extracting the information about the target structure and the photoelectron ultrafast dynamics in strong fields.

Keywords:

Authors and contacts

1.
Chongqing City Key Laboratory of Micro & Nano Structure Optoelectronics, School of Physical Science and Technology, Southwest University, Chongqing 400715, China
2.
College of Physics and Electronic Engineering, Xinyang Normal University, Xinyang 464000, China

Corresponding author: Li Ying-Bin, liyingbin2008@163.com ; Huang Cheng, huangcheng@swu.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11504302, 12074329, 12004323) and the Key Scientific Research Projects of Higher Education of Henan Province, China (Grant No. 20A140025).

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References

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Cited By

图 1 (a), (b)反向旋转TCEP复合电场(虚线)及其负矢势(实线); (c), (d)反向旋转TCEP场中Ar电离电子的末态动量分布; 其中(a), (c)相对相位为φ = 0.25π; (b), (d)相对相位φ = 0; 两椭偏场的椭偏率均为0.3

Figure 1. (a), (b) Combined laser electric field E(t) (dashed curve) and the corresponding negative vector potential－A(t) (solid curve) for counter-rotating TCEP fields; (c), (d) photoelectron momentum distributions of Ar ionized by counter-rotating TCEP fields. (a), (c) The relative phase is φ = 0.25π; (b), (d) The relative phase is φ = 0. Both ellipticities of the two pulses are 0.3.

DownLoad: Full-Size Img PowerPoint

图 2 (a) 不同时刻电离电子经典轨迹中电子离母离子距离的时间演化; (b) 反向旋转TCEP场的x分量(蓝虚线)和y分量(红虚线); (c) SFA计算所得直接电子波包A和直接电子波包B形成的干涉图样; (d) SFA计算所得前向散射电子波包A和直接电子波包A形成的干涉图样; (e) SFA计算所得前向散射电子波包A和直接电子波包B形成的干涉图样. 两椭偏场的椭偏率均为0.3. 相对相位φ = 0.25π

Figure 2. (a) Time evolutions of the distances between the electron and the parent ion for different ionization times; (b) the x and y components of counter-rotating TCEP fields; (c) the simulated interference pattern between the direct electrons ionized during A and the direct electrons ionized during B with SFA; (d) the simulated interference pattern between the rescattering electrons and the direct electrons ionized during A with SFA; (e) the simulated interference pattern between the rescattering electrons ionized during A and the direct electrons ionized during B with SFA. Both ellipticities of the two pulses are 0.3. The relative phase is 0.25π.

DownLoad: Full-Size Img PowerPoint

图 3 (a) 不同时刻电离电子经典轨迹中电子离母离子距离的时间演化; (b) 反向旋转TCEP场的x分量(蓝虚线)和y分量(红虚线); (c) SFA计算所得直接电子波包E和直接电子波包F形成的干涉图样; (d) SFA计算所得前向散射电子波包C和直接电子波包C形成的干涉图样; (e) SFA计算所得前向散射电子波包C和直接电子波包D形成的干涉图样. 两椭偏场的椭偏率均为0.3. 相对相位φ = 0

Figure 3. (a) Time evolutions of the distances between the electron and the parent ion for different ionization times; (b) the x and y components of counter-rotating TCEP fields; (c) the simulated interference pattern between the direct electrons ionized during C and the direct electrons ionized during D with SFA; (d) the simulated interference pattern between the rescattering electrons and the direct electrons ionized during C with SFA; (e) the simulated interference pattern between the rescattering electrons during C and the direct electrons ionized during D with SFA. Both ellipticities of the two pulses are 0.3. The relative phase is 0.

DownLoad: Full-Size Img PowerPoint

图 4 反向旋转TCEP场驱动Ar原子隧穿电离电子末态动量分布, 其中两椭偏场的相对相位φ = 0; 两脉冲椭偏率分别为(a) $\varepsilon_1 $ = 0.3, $\varepsilon_2 $ = 0.5; (b) $\varepsilon_1 $ = 0.3, $\varepsilon_2 $ = 0.7; (c) $\varepsilon_1 $ = 0.5, $\varepsilon_2 $ = 0.3; (d) $\varepsilon_1 $ = 0.7, $\varepsilon_2 $ = 0.3

Figure 4. Photoelectron momentum distributions of Ar ionized by counter-rotating TCEP fields. The relative phase is 0. The ellipticities of the two pulses: (a) $\varepsilon_1 $ = 0.3, $\varepsilon_2 $ = 0.5; (b) $\varepsilon_1 $ = 0.3, $\varepsilon_2 $ = 0.7; (c) $\varepsilon_1 $ = 0.5, $\varepsilon_2 $ = 0.3; (d) $\varepsilon_1 $ = 0.7, $\varepsilon_2 $ = 0.3.

DownLoad: Full-Size Img PowerPoint

[1]	Corkum P 1993 Phys. Rev. Lett. 71 1994 Google Scholar
[2]	Agostini P, Fabre F, Mainfray G, Petite G 1979 Phys. Rev. Lett. 42 1127 Google Scholar
[3]	Arbó D G, Persson E, Burgdörfer J 2006 Phys. Rev. A 74 063407 Google Scholar
[4]	Tan J, Xu S, Han X, Zhou Y, Li M, Cao W, Zhang Q, Lu P 2021 Adv. Photonics 3 035001 Google Scholar
[5]	Li M, Zhang P, Luo S Q, Zhou Y M, Zhang Q B, Lan P F, Lu P X 2015 Phys. Rev. A 92 063404 Google Scholar
[6]	Yang W, Zhang H, Lin C, Xu J, Sheng Z, Song X, Hu S, Chen J 2016 Phys. Rev. A 94 043419 Google Scholar
[7]	Wang Y, Yu S, Lai X, Kang H, Xu S, Sun R, Quan W, Liu X 2018 Phys. Rev. A 98 043422 Google Scholar
[8]	Huismans Y, Rouzée A, Gijsbertsen A, Jungmann J H, Smolkowska A S, Logman P S W M, Lépine F, Cauchy C, Zamith S, Marchenko T, Bakker J M, Berden G, Redlich B, van der Meer A F G, Muller H G, Vermin W, Schafer K J, Spanner M, Ivanov M Yu, Smirnova O, Bauer D, Popruzhenko S V, Vrakking M J J 2011 Science 331 6164 Google Scholar
[9]	Xia Q, Tao J, Cai J, Fu L, Liu J 2018 Phys. Rev. Lett. 121 143201 Google Scholar
[10]	Du H, Li J, Wang H, Yue S, Wu H, Hu B 2017 Phys. Lett. A 381 1563 Google Scholar
[11]	Chen F, Yao R, Luo J, Wang C 2018 Chin. Phys. B 27 103202 Google Scholar
[12]	Marchenko T, Huismans Y, Schafer K J, Vrakking M J J 2011 Phys. Rev. A 84 053427 Google Scholar
[13]	Bian X B, Huismans Y, Smirnova O, Yuan K J, Vrakking M J J, Bandrauk A D 2011 Phys. Rev. A 84 043420 Google Scholar
[14]	Bian X B, Bandrauk A D, 2012 Phys. Rev. Lett. 108 263003 Google Scholar
[15]	Song X, Lin C, Sheng Z, Liu P, Chen Z, Yang W, Hu S, Lin C D, Chen J 2016 Sci. Rep. 6 28392 Google Scholar
[16]	林呈, 张华堂, 盛志浩, 余显环, 刘鹏, 徐竟文, 宋晓红, 胡师林, 陈京, 杨玮枫 2016 物理学报 65 223207 Google Scholar Lin C, Zhang H J, Sheng Z H, Yu X H, Liu P, Xu J W, Song X H, Hu S L, Chen J, Yang W F 2016 Acta Phys. Sin. 65 223207 Google Scholar
[17]	Qin P, Sun X, Liu Y, Chen Z 2021 Phys. Rev. A 104 053111 Google Scholar
[18]	Yu S, Lai X, Wang Y, Xu S, Hua L, Quan W, Liu X 2020 Phys. Rev. A 101 023414 Google Scholar
[19]	Zhou Y, Tolstikhin O I, Morishita T 2016 Phys. Rev. Lett. 116 173001 Google Scholar
[20]	Hickstein D D, Ranitovic P, Witte S, Tong X M, Huismans Y, Arpin P, Zhou X, Keister K E, Hogle C W, Zhang B, Ding C, Johnsson P, Toshima N, Vrakking M J J, Murnane M M, Kapteyn H C 2012 Phys. Rev. Lett. 109 073004 Google Scholar
[21]	Zhou Y, Tan J, Li M, Lu P 2021 Sci. China Phys. Mech. Astron. 64 273011 Google Scholar
[22]	Meckel M, Staudte A, Patchkovskii S, Villeneuve D M, Corkum P B, Drner R, Spanner M 2014 Nat. Phys. 10 594 Google Scholar
[23]	Liu M M, Li M, Wu C, Gong Q, Staudte A, Liu Y 2016 Phys. Rev. Lett. 116 163004 Google Scholar
[24]	Li M, Xie H, Cao W, Luo S, Tan J, Feng Y, Du B, Zhang W, Li Y, Zhang Q, Lan P, Zhou Y, Lu P X 2019 Phys. Rev. Lett. 122 183202 Google Scholar
[25]	Tan J, Zhou Y, He M, Chen Y, Ke Q, Liang J, Zhu X, Li M, Lu P X 2018 Phys. Rev. Lett. 121 253203 Google Scholar
[26]	Tan J, Zhou Y, He M, Ke Q, Liang J T, Li Y, Li M, Lu P X 2019 Phys. Rev. A 99 033402 Google Scholar
[27]	Haertelt M, Bian X B, Spanner M, Staudte A, Corkum P B 2016 Phys. Rev. Lett. 116 133001 Google Scholar
[28]	Porat G, Alon G, Rozen S, Pedatzur O, Krüger M, Azoury D, Natan A, Orenstein G, Bruner B D, Vrakking M J J, Dudovich N 2018 Nat. Commun 9 2805 Google Scholar
[29]	He M, Li Y, Zhou Y, Li M, Cao W, Lu P 2018 Phys. Rev. Lett. 120 133204 Google Scholar
[30]	Walt S G, Bhargava Ram N, Atala M, Shvetsov Shilovski N I, von Conta A, Baykusheva D, Lein M, Worner H J 2017 Nat. Commun. 8 15651 Google Scholar
[31]	Hasovic E, Becker W, Milosević D B 2016 Opt. Express 24 6413 Google Scholar
[32]	Huang C, Pang H, Huang X, Zhong M, Wu Z 2020 Opt. Express 28 10505 Google Scholar
[33]	Li B, Yang X, Ren X, Zhang J 2019 Opt. Express 27 32700 Google Scholar
[34]	Xu T, Zhu Q, Chen J, Ben S, Zhang J, Liu X 2018 Opt. Express 26 1645 Google Scholar
[35]	曾雪, 苏杰, 黄雪飞, 庞惠玲, 黄诚 2021 物理学报 70 243201 Google Scholar Zeng X, Su J, Huang X F, Pang H L, Huang C 2021 Acta Phys. Sin. 70 243201 Google Scholar
[36]	Li M, Jiang W C, Xie H, Luo S, Zhou Y M, Lu P X 2018 Phys. Rev. A 97 023415 Google Scholar
[37]	Ke Q H, Zhou Y M, Tan J, He M R, Liang J T, Zhao Y, Li M, Lu P X 2019 Opt. Express 27 32193 Google Scholar
[38]	Feit M D, Fleck J A, Steiger A 1982 J. Comput. Phys. 47 412 Google Scholar
[39]	Tong X M, Hino K, Toshima N 2006 Phys. Rev. A 74 031405 Google Scholar
[40]	Liao Q, Winney A H, Lee S K, Lin Y, Adhikari P, Li W 2017 Phys. Rev. A 96 023401 Google Scholar
[41]	Lehtovaara L, Toivanen J, Eloranta J 2007 J. Comput. Phys. 221 148 Google Scholar
[42]	Lewenstein M, Balcou P, Ivanov M Yu, Anne L'Huillier, Corkum P B 1994 Phys. Rev. A 49 2117 Google Scholar
[43]	Milošević D B, Becker W 2002 Phys. Rev. A 66 063417 Google Scholar

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