Please wait a minute...
Chin. Phys. B, 2022, Vol. 31(6): 064214    DOI: 10.1088/1674-1056/ac2d1c

Tunable spectral shift of high-order harmonic generation in atoms using a sinusoidally phase-modulated pulse

Yue Qiao(乔月)1,2, Jun Wang(王俊)1,†, Yan Yan(闫妍)1, Simeng Song(宋思蒙)1, Zhou Chen(陈洲)1, Aihua Liu(刘爱华)1, Jigen Chen(陈基根)2, Fuming Guo(郭福明)1,‡, and Yujun Yang(杨玉军)1,§
1 Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China;
2 Department of Physics and Materials Engineering, Taizhou University, Taizhou 318000, China
Abstract  High-order harmonic generation (HHG) from an atom illuminated by a sinusoidally phase-modulated pulse is investigated by solving the time-dependent Schrödinger equation. The spectral shift that occurs in atomic HHG can be achieved easily using our laser pulse. It is shown that the photon energy of the generated harmonics is controllable within the range of 1 eV. The shift of the frequency peak position is rooted in the asymmetry of the rising and falling parts of the laser pulse. We also show that by varying the phase parameters in the frequency domain of the laser one can adjust and control the shift in atomic harmonic spectra.
Keywords:  high-order harmonic generation      spectra shift  
Received:  13 July 2021      Revised:  09 September 2021      Accepted manuscript online:  06 October 2021
PACS:  42.65.Ky (Frequency conversion; harmonic generation, including higher-order harmonic generation)  
  98.62.Py (Distances, redshifts, radial velocities; spatial distribution of galaxies)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11604119, 11627807, 11774129, 11774131, 11904120, 11975012, and 91850114) and the Outstanding Youth Project of Taizhou University (Grant No. 2019JQ002).
Corresponding Authors:  Jun Wang, Fuming Guo, Yujun Yang     E-mail:;;

Cite this article: 

Yue Qiao(乔月), Jun Wang(王俊), Yan Yan(闫妍), Simeng Song(宋思蒙), Zhou Chen(陈洲), Aihua Liu(刘爱华), Jigen Chen(陈基根), Fuming Guo(郭福明), and Yujun Yang(杨玉军) Tunable spectral shift of high-order harmonic generation in atoms using a sinusoidally phase-modulated pulse 2022 Chin. Phys. B 31 064214

[1] Li F, Yang Y J, Chen J, Liu X J, Wei Z Y and Wang B B 2020 Chin. Phys. Lett. 37 113201
[2] Li W K, Lei Y, Li X, Yang T, Du M, Jiang Y, Li J L, Lou S Z, Liu A H, He L H, Ma P, Zhang D D and Ding D J 2021 Chin. Phys. Lett. 38 053202
[3] Yang W F, Li J, Jia W B, Zhang H D, Liu X W, Zhu M, Song X H and Chen J 2021 Phys. Rev. A 103 053105
[4] Yang W F, Song X H, Gong S Q, Cheng Y and Xu Z Z 2007 Phy. Rev. Lett. 99 133602
[5] Liu X W, Zhang G J, Li J, Shi G L, Zhou M Y, Song X H and Yang W F 2020 Phy. Rev. Lett. 124 113202
[6] Song X H, Shi G L, Zhang G J, Xu J W, Lin C, Chen J and Yang W F 2018 Phy. Rev. Lett. 121 103201
[7] Corkum P B 1993 Phy. Rev. Lett. 71 1994
[8] Lewenstein M, Balcou Ph, Ivanov M Yu, L'Huillier A and Corkum P B 1994 Phys. Rev. A 49 2117
[9] Zhao Y T, Ma S Y, Jiang S C, Yang Y J, Zhao X and Chen J G 2019 Opt. Express 27 34392
[10] Zhao Y T, Xu X Q, Jiang S C, Zhao X, Chen J G and Yang Y J 2020 Phys. Rev. A 101 033413
[11] Zhao Y T, Jiang S C, Zhao X, Chen J G and Yang Y J 2020 Opt. Lett. 45 2874
[12] Jin C, Wang S J, Zhao X, Zhao S F, Wang S J and Lin C D 2020 Phys. Rev. A 101 013429
[13] Zhang H D, Liu X W, Jin F C, Zhu M, Yang S D, Dong W H, Song X H and Yang W F 2021 Chin. Phys. Lett. 38 063201
[14] Wang X W, Wang L, Xiao F, Zhang D W, Lu J M, Yuan J M and Zhao Z X 2020 Chin. Phys. Lett. 37 023201
[15] Zhao X, Wang S J, Yu W W, Wei H, Wei C L, Wang B C, Chen J G and Lin C D 2020 Phys. Rev. Appl. 13 034043
[16] Zhao X, Wei H, Wu Y and Lin C D 2017 Phys. Rev. A 95 043407
[17] Zhao X, Wang S J, Wang B C and Lin C D 2020 J. Phys. B: At. Mol. Opt. Phys. 53 154002
[18] Lee D G, Kim H T, Hong K H, Nam C H, Choi I W, Bartnik A and Fiedorowicz H 2002 Appl. Phys. Lett. 81 3726
[19] Bellini M, Lyngå C, Tozzi A, Gaarde M B, Hänsch T W, L'Huillier A and Wahlström C G 1998 Phy. Rev. Lett. 81 297
[20] Burnett N H, Baldis H A, Richardson M C and Enright G D 1977 Appl. Phys. Lett. 31 172
[21] Brabec T and Krausz F 2000 Rev. Mod. Phys. 72 545
[22] Hentschel M, Kienberger R, Spielmann C, Reider G A, Milosevic N, Brabec T, Corkum P, Heinzmann U, Drescher M and Krausz F 2001 Nature 414 509
[23] Assion A, Baumert T, Bergt M, Brixner T, Kiefer B, Seyfried V, Strehle M and Gerber G 1998 Science 282 919
[24] Bartels R, Backus S, Zeek E, Misoguti L, Vdovin G, Christov I P, Murnane M M and Kapteyn H C 2000 Nature 406 164
[25] Weinacht T C, Ahn J and Bucksbaum P H 1999 Nature 397 233
[26] Zhao X Y, Wang C C, Hu S L, Li W D, Chen J and Hao X L 2019 Chin. Phys. B 28 83202
[27] Chang Z, Rundquist A, Wang H, Christov I, Kapteyn H C and Murnane M M 1998 Phys. Rev. A 58 R30
[28] Lee D G, Kim J H, Hong K H and Nam C H 2001 Phy. Rev. Lett. 87 243902
[29] Sekikawa T, Ohno T, Yamazaki T, Nabekawa Y and Watanabe S 1999 Phy. Rev. Lett. 83 2564
[30] de Bohan A, Antoine P, MiloŠević D B and Piraux B 1998 Phy. Rev. Lett. 81 1837
[31] Sansone G, Vozzi C, Stagira S, Pascolini M, Poletto L, Villoresi P, Tondello G, de Silvestri S and Nisoli M 2004 Phy. Rev. Lett. 92 113904
[32] Zhao X, Chen J, Fu P, Liu X, Yan Z C and Wang B 2013 Phys. Rev. A 87 043411
[33] Corkum P B, Burnett N H and Ivanov M Y 1994 Opt. Lett. 19 1870
[34] Goulielmakis E, Schultze M, Hofstetter M, Yakovlev V S, Gagnon J, Uiberacker M, Aquila A L, Gullikson E M, Attwood D T, Kienberger R, Krausz F and Kleineberg U 2008 Science 320 1614
[35] Chen J G, Yang Y J, Zeng S L and Liang H Q 2011 Phys. Rev. A 83 023401
[36] Mashiko H, Gilbertson S, Li C, Khan S D, Shakya M M, Moon E and Chang Z 2008 Phy. Rev. Lett. 100 103906
[37] Wang J, Chen G, Li S Y, Ding D J, Chen J G, Guo F M and Yang Y J 2015 Phys. Rev. A 92 033848
[38] Han J X, Wang J, Qiao Y, Liu A H, Guo F M and Yang Y J 2019 Opt. Express 27 8768
[39] Ciappina M F, Biegert J, Quidant R and Lewenstein M 2012 Phys. Rev. A 85 033828
[40] Guo Y, Liu A H, Wang J and Liu X S 2019 Chin. Phys. B 28 094212
[41] Cingöz A, Yost D C, Allison T K, Ruehl A, Fermann M E, Hartl I and Ye J 2012 Nature 482 68
[42] Bartels R A, Paul A, Green H, Kapteyn H C, Murnane M M, Backus S, Christov I P, Liu Y, Attwood D and Jacobsen C 2002 Science 297 376
[43] Solak H H 2006 J. Phys. D: Appl. Phys. 39 R171
[44] Gulyás Oldal L, Csizmadia T, Ye P, Harshitha N G, ZaÏr A, Kahaly S, Varjú K, Füle M and Major B 2020 Phys. Rev. A 102 013504
[45] Watson J B, Sanpera A and Burnett K 1995 Phys. Rev. A 51 1458
[46] Schafer K J and Kulander K C 1997 Phy. Rev. Lett. 78 638
[47] Geissler M, Tempea G and Brabec T. 2000 Phys. Rev. A 62 033817
[48] Bian X B and Bandrauk A D. 2014 Phy. Rev. Lett. 113 193901
[49] Du H, Xue S, Wang H, Zhang Z and Hu B 2015 Phys. Rev. A 91 063844
[50] Wollenhaupt M, Präkelt A, Sarpe-Tudoran C, Liese D, Bayer T and Baumert T 2006 Phys. Rev. A 73 063409
[51] Yang Y J, Chen J G, Chi F P, Zhu Q R, Zhang H X and Sun J Z 2007 Chin. Phys. Lett. 24 1537
[52] Wang J, Chen G, Guo F M, Li S Y, Chen J G and Yang Y J 2013 Chin. Phys. B 22 033203
[1] Spectral shift of solid high-order harmonics from different channels in a combined laser field
Dong-Dong Cao(曹冬冬), Xue-Fei Pan(潘雪飞), Jun Zhang(张军), and Xue-Shen Liu(刘学深). Chin. Phys. B, 2023, 32(3): 034204.
[2] Phase-coherence dynamics of frequency-comb emission via high-order harmonic generation in few-cycle pulse trains
Chang-Tong Liang(梁畅通), Jing-Jing Zhang(张晶晶), and Peng-Cheng Li(李鹏程). Chin. Phys. B, 2023, 32(3): 033201.
[3] Effect of laser focus in two-color synthesized waveform on generation of soft x-ray high harmonics
Yanbo Chen(陈炎波), Baochang Li(李保昌), Xuhong Li(李胥红), Xiangyu Tang(唐翔宇), Chi Zhang(张弛), and Cheng Jin(金成). Chin. Phys. B, 2023, 32(1): 014203.
[4] High-order harmonic generation of the cyclo[18]carbon molecule irradiated by circularly polarized laser pulse
Shu-Shan Zhou(周书山), Yu-Jun Yang(杨玉军), Yang Yang(杨扬), Ming-Yue Suo(索明月), Dong-Yuan Li(李东垣), Yue Qiao(乔月), Hai-Ying Yuan(袁海颖), Wen-Di Lan(蓝文迪), and Mu-Hong Hu(胡木宏). Chin. Phys. B, 2023, 32(1): 013201.
[5] Probing subcycle spectral structures and dynamics of high-order harmonic generation in crystals
Long Lin(林龙), Tong-Gang Jia(贾铜钢), Zhi-Bin Wang(王志斌), and Peng-Cheng Li(李鹏程). Chin. Phys. B, 2022, 31(9): 093202.
[6] Decoding the electron dynamics in high-order harmonic generation from asymmetric molecular ions in elliptically polarized laser fields
Cai-Ping Zhang(张彩萍) and Xiang-Yang Miao(苗向阳). Chin. Phys. B, 2022, 31(4): 043301.
[7] Enhancement of isolated attosecond pulse generation by using long gas medium
Yueying Liang(梁玥瑛), Xinkui He(贺新奎), Kun Zhao(赵昆), Hao Teng(滕浩), and Zhiyi Wei(魏志义). Chin. Phys. B, 2022, 31(4): 043302.
[8] Orientation and ellipticity dependence of high-order harmonic generation in nanowires
Fan Yang(杨帆), Yinghui Zheng(郑颖辉), Luyao Zhang(张路遥), Xiaochun Ge(葛晓春), and Zhinan Zeng(曾志男). Chin. Phys. B, 2022, 31(4): 044204.
[9] Multiple collisions in crystal high-order harmonic generation
Dong Tang(唐栋) and Xue-Bin Bian(卞学滨). Chin. Phys. B, 2022, 31(12): 123202.
[10] Generation of non-integer high-order harmonics and significant enhancement of harmonic intensity
Chang-Long Xia(夏昌龙), Yue-Yue Lan(兰悦跃), and Xiang-Yang Miao(苗向阳). Chin. Phys. B, 2021, 30(4): 043202.
[11] Minimum structure of high-harmonic spectrafrom aligned O2 and N2 molecules
Bo Yan(闫博), Yi-Chen Wang(王一琛), Qing-Hua Gao(高庆华), Fang-Jing Cheng(程方晶), Qiu-Shuang Jing(景秋霜), Hong-Jing Liang(梁红静), and Ri Ma(马日). Chin. Phys. B, 2021, 30(11): 114213.
[12] Multiphoton quantum dynamics of many-electron atomic and molecular systems in intense laser fields
Peng-Cheng Li(李鹏程), Shih-I Chu. Chin. Phys. B, 2020, 29(8): 083202.
[13] Role of potential on high-order harmonic generation from atoms irradiated by bichromatic counter-rotating circularly polarized laser fields
Xu-Xu Shen(申许许), Jun Wang(王俊), Fu-Ming Guo(郭福明), Ji-Gen Chen(陈基根), Yun-Jun Yang(杨玉军). Chin. Phys. B, 2020, 29(8): 083201.
[14] Semi-integer harmonic generation from an argon atom by bichromatic counter-rotating circularly polarized laser field
Tong Qi(齐桐), Xiao-Xin Huo(霍晓鑫), Jun Zhang(张军), Xue-Shen Liu(刘学深). Chin. Phys. B, 2020, 29(5): 053201.
[15] Controlling paths of high-order harmonic generation by orthogonal two-color fields
Ze-Hui Ma(马泽慧), Cai-Ping Zhang(张彩萍), Jun-Lin Ma(马俊琳), Xiang-Yang Miao(苗向阳). Chin. Phys. B, 2020, 29(4): 043201.
No Suggested Reading articles found!