ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
Prev
Next
|
|
|
Probing the structure of multi-center molecules with odd-even high harmonics |
Ning Su(苏宁)1, Shujuan Yu(于术娟)1,2, Weiyan Li(李卫艳)3, Shiping Yang(杨世平)2, Yanjun Chen(陈彦军)1 |
1 College of Physics and Information Technology, Shaan'xi Normal University, Xi'an 710119, China; 2 College of Physics and Information Engineering, Hebei Normal University, Shijiazhuang 050024, China; 3 School of Mathematics and Science, Hebei GEO University, Shijiazhuang 050031, China |
|
|
Abstract We study high-order harmonic generation (HHG) from multi-center asymmetric linear molecules numerically and analytically. Our simulations show that odd and even HHG spectra of the asymmetric multi-center system respond differently to the change of the molecular structure. Specifically, when the internuclear distances between these nuclei of the molecule have a small change, the odd spectra usually do not change basically, but the even spectra differ remarkably. Based on this phenomenon, a simple procedure is proposed to probe the positions of these nuclei with odd-even HHG. Our results shed light on attosecond probing of the structure of multi-center molecules using HHG.
|
Received: 24 November 2017
Revised: 02 January 2018
Accepted manuscript online:
|
PACS:
|
42.65.Ky
|
(Frequency conversion; harmonic generation, including higher-order harmonic generation)
|
|
32.80.Rm
|
(Multiphoton ionization and excitation to highly excited states)
|
|
Fund: Project supported by the National Natural Science Foundation of China (Grants No.91750111),the Youth Foundation of Hebei Province Education Department,China (Grant No.QN2017028),the Fundamental Research Funds for Hebei GEO University,China (Grant No.BQ2017047),the Natural Science Foundation of Hebei Province,China (Grant No.A2015205161),and the Fundamental Research Funds for the Central Universities,China (Grant No.SNNU.GK201801009). |
Corresponding Authors:
Shujuan Yu, Weiyan Li, Yanjun Chen
E-mail: yushujuan1129@163.com;liweiyanhb@126.com;chenyanjun@snnu.edu.cn
|
Cite this article:
Ning Su(苏宁), Shujuan Yu(于术娟), Weiyan Li(李卫艳), Shiping Yang(杨世平), Yanjun Chen(陈彦军) Probing the structure of multi-center molecules with odd-even high harmonics 2018 Chin. Phys. B 27 054213
|
[74] |
Rupenyan A, Kraus P M, Schneider J and Wörner H J 2013 Phys. Rev. A 87 031401
|
[13] |
Zhou X X, Tong X M, Zhao Z X and Lin C D 2005 Phys. Rev. A 72 033412
|
[1] |
McPherson A, Gibson G, Jara H, Johann U, Luk T S, McIntyre I A, Boyer K and Rhodes C K 1987 J. Opt. Soc. Am. B 4 595
|
[75] |
Feit M D, Jr Fleck J A and Steiger A 1982 J. Comput. Phys. 47 412
|
[14] |
Li Y, Zhu X S, Lan P F, Zhang Q B, Qin M Y and Lu P X 2014 Phys. Rev. A 89 045401
|
[2] |
L'Huillier A, Schafer K J and Kulander K C 1991 J. Phys. B 24 3315
|
[76] |
Shi Y Z, Wang S, Dong F L, Li Y P and Chen Y J 2017 J. Phys. B 50 065004
|
[15] |
Du H, Pan X F, Liu H F, Zhang H D, Zhang J, Guo J and Liu X S 2016 Chin. Phys. B 25 093202
|
[3] |
Corkum P B and Krausz F 2009 Nat. Phys. 3 381
|
[16] |
de Nalda R, Heesel E, Lein M, Hay N, Velotta R, Springate E, Castillejo M and Marangos J P 2004 Phys. Rev. A 69 031804
|
[4] |
Krausz F and Ivanov M 2009 Rev. Mod. Phys. 81 163
|
[17] |
Kanai T, Minemoto S and Sakai H 2005 Nature 435 470
|
[5] |
Lépine F, Ivanov M Y and Vrakking M J J 2014 Nat. Photon. 8 195
|
[18] |
Vozzi C, Calegari F, Benedetti E, Caumes J P, Sansone G, Stagira S, Nisoli M, Torres R, Heesel E, Kajumba N, Marangos J P, Altucci C and Velotta R 2005 Phys. Rev. Lett. 95 153902
|
[6] |
Chen J G, Yang Y J, Chen J and Wang B B 2015 Phys. Rev. A 91 043403
|
[19] |
Le A T, Tong X M and Lin C D 2006 Phys. Rev. A 73 041402
|
[7] |
Corkum P B 1993 Phys. Rev. Lett. 71 1994
|
[20] |
Lein M 2007 J. Phys. B 140 R135
|
[8] |
Lein M, Hay N, Velotta R, Marangos J P and Knight P L 2002 Phys. Rev. Lett. 88 183903
|
[21] |
Baker S, Robinson J S, Lein M, Chirila C C, Torres R, Bandulet H C, Comtois D, Kieffer J C, Villeneuve D M, Tisch J W G and Marangos J P 2008 Phys. Rev. Lett. 101 053901
|
[9] |
Liu C D, Zeng Z N, Wei P F, Liu P, Li R X and Xu Z Z 2010 Phys. Rev. A 81 033426
|
[22] |
Cui H F and Miao X Y 2017 Chin. Phys. B 26 103302
|
[10] |
Zhao J and Zhao Z X 2010 Chin. Phys. Lett. 27 063301
|
[23] |
Zhang J, Pan X F, Xu T T, Zhang H D, Du H, Guo J and Liu X S 2017 Chin. Phys. B 26 013202
|
[11] |
Li W Y, Dong F L, Yu S J, Wang S, Yang S P and Chen Y J 2015 Opt. Express 23 31010
|
[24] |
Li Y P, Yu S J, Duan X Y, Shi Y Z and Chen Y J 2016 J. Phys. B 49 075603
|
[12] |
Itatani J, Levesque J, Zeidler D, Niikura Hiromichi, Pepin H, Kieffer J C, Corkum P B and Villeneuve D M 2004 Nature 432 867
|
[25] |
Chen Y J, Liu J and Hu Bambi 2009 J. Chem. Phys. 130 044311
|
[13] |
Zhou X X, Tong X M, Zhao Z X and Lin C D 2005 Phys. Rev. A 72 033412
|
[26] |
Chen Y J and Hu Bambi 2009 J. Chem. Phys. 131 244109
|
[14] |
Li Y, Zhu X S, Lan P F, Zhang Q B, Qin M Y and Lu P X 2014 Phys. Rev. A 89 045401
|
[27] |
Smirnova O, Mairesse Y, Patchkovskii S, Dudovich N, Villeneuve D, Corkum P and Ivanov M Yu 2009 Nature 460 972
|
[15] |
Du H, Pan X F, Liu H F, Zhang H D, Zhang J, Guo J and Liu X S 2016 Chin. Phys. B 25 093202
|
[28] |
Li W Y, Wang S, Shi Y Z, Yang S P and Chen Y J 2017 J. Phys. B 50 085003
|
[16] |
de Nalda R, Heesel E, Lein M, Hay N, Velotta R, Springate E, Castillejo M and Marangos J P 2004 Phys. Rev. A 69 031804
|
[29] |
Kamta G L, Bandrauk A D and Corkum P B 2005 J. Phys. B 38 L339
|
[17] |
Kanai T, Minemoto S and Sakai H 2005 Nature 435 470
|
[30] |
Bian Xue-Bin and Bandrauk A D 2010 Phys. Rev. Lett. 105 093903
|
[18] |
Vozzi C, Calegari F, Benedetti E, Caumes J P, Sansone G, Stagira S, Nisoli M, Torres R, Heesel E, Kajumba N, Marangos J P, Altucci C and Velotta R 2005 Phys. Rev. Lett. 95 153902
|
[31] |
Chen Y J and Zhang B 2011 Phys. Rev. A 84 053402
|
[19] |
Le A T, Tong X M and Lin C D 2006 Phys. Rev. A 73 041402
|
[32] |
Zhang B, Chen Y J, Jiang X Q and Sun X D 2013 Phys. Rev. A 88 053428
|
[20] |
Lein M 2007 J. Phys. B 140 R135
|
[33] |
Miao X Y and Du H N 2013 Phys. Rev. A 87 053403
|
[21] |
Baker S, Robinson J S, Lein M, Chirila C C, Torres R, Bandulet H C, Comtois D, Kieffer J C, Villeneuve D M, Tisch J W G and Marangos J P 2008 Phys. Rev. Lett. 101 053901
|
[34] |
Miao X Y and Zhang C P 2014 Phys. Rev. A 89 033410
|
[22] |
Cui H F and Miao X Y 2017 Chin. Phys. B 26 103302
|
[35] |
Lu R F, Yu C, Wang Y H, Shi Q and Zhang Y D 2014 Phys. Lett. A 378 90
|
[23] |
Zhang J, Pan X F, Xu T T, Zhang H D, Du H, Guo J and Liu X S 2017 Chin. Phys. B 26 013202
|
[36] |
Zhang J, Liu H F, Pan X F, Du H, Guo J and Liu X S 2016 Chin. Phys. B 25 053202
|
[24] |
Li Y P, Yu S J, Duan X Y, Shi Y Z and Chen Y J 2016 J. Phys. B 49 075603
|
[37] |
Li Y P, Yu S J, Li W Y and Chen Y J 2017 Phys. Rev. A 95 063412
|
[25] |
Chen Y J, Liu J and Hu Bambi 2009 J. Chem. Phys. 130 044311
|
[38] |
Wang S, Cai J and Chen Y J 2017 Phys. Rev. A 96 043413
|
[26] |
Chen Y J and Hu Bambi 2009 J. Chem. Phys. 131 244109
|
[39] |
Wang R H, Jiang H B, Yang H, Wu C Y and Gong Q H 2005 Chin. Phys. Lett. 22 1913
|
[27] |
Smirnova O, Mairesse Y, Patchkovskii S, Dudovich N, Villeneuve D, Corkum P and Ivanov M Yu 2009 Nature 460 972
|
[40] |
Zhu X S, Zhang Q B, Hong W Y, Lan P F and Lu P X 2011 Opt. Express 19 436
|
[28] |
Li W Y, Wang S, Shi Y Z, Yang S P and Chen Y J 2017 J. Phys. B 50 085003
|
[41] |
Du H, Luo L, Wang X and Hu B 2012 Phys. Rev. A 86 013846
|
[29] |
Kamta G L, Bandrauk A D and Corkum P B 2005 J. Phys. B 38 L339
|
[42] |
Pan Y, Zhao S F and Zhou X X 2013 Phys. Rev. A 87 035805
|
[30] |
Bian Xue-Bin and Bandrauk A D 2010 Phys. Rev. Lett. 105 093903
|
[43] |
Chen Y J, Fu L B and Liu J 2013 Phys. Rev. Lett. 111 073902
|
[31] |
Chen Y J and Zhang B 2011 Phys. Rev. A 84 053402
|
[44] |
Wu J, Zeng H and Guo C L 2006 Phys. Rev. A 74 031404
|
[32] |
Zhang B, Chen Y J, Jiang X Q and Sun X D 2013 Phys. Rev. A 88 053428
|
[45] |
Bian X B and Bandrauk A D 2010 Phys. Rev. Lett. 105 093903
|
[33] |
Miao X Y and Du H N 2013 Phys. Rev. A 87 053403
|
[46] |
Etches A, Gaarde M B and Madsen L B 2011 Phys. Rev. A 84 023418
|
[34] |
Miao X Y and Zhang C P 2014 Phys. Rev. A 89 033410
|
[47] |
Heslar J, Telnov D and Chu S I 2011 Phys. Rev. A 83 043414
|
[35] |
Lu R F, Yu C, Wang Y H, Shi Q and Zhang Y D 2014 Phys. Lett. A 378 90
|
[48] |
Yue S J, Du H C, Wu H M, Xue S, Zhao J C and Hu B T 2017 Chin. Phys. B 26 074215
|
[36] |
Zhang J, Liu H F, Pan X F, Du H, Guo J and Liu X S 2016 Chin. Phys. B 25 053202
|
[49] |
Frumker E, Hebeisen C T, Kajumba N, Bertrand J B, Wörner H J, Spanner M, Villeneuve D M, Naumov A and Corkum P B 2012 Phys. Rev. Lett. 109 113901
|
[37] |
Li Y P, Yu S J, Li W Y and Chen Y J 2017 Phys. Rev. A 95 063412
|
[50] |
Kraus P M, Rupenyan A and Wörner H J 2012 Phys. Rev. Lett. 109 233903
|
[38] |
Wang S, Cai J and Chen Y J 2017 Phys. Rev. A 96 043413
|
[39] |
Wang R H, Jiang H B, Yang H, Wu C Y and Gong Q H 2005 Chin. Phys. Lett. 22 1913
|
[51] |
Chen J, Yu S, Li Y, Wang S and Chen Y 2017 Chin. Phys. B 26 094209
|
[40] |
Zhu X S, Zhang Q B, Hong W Y, Lan P F and Lu P X 2011 Opt. Express 19 436
|
[52] |
Frumker E, Kajumba N, Bertrand J B, Wörner H J, Hebeisen C T, Hockett P, Spanner M, Patchkovskii S, Paulus G G, Villeneuve D M, Naumov A and Cokum P B 2012 Phys. Rev. Lett. 109 233904
|
[53] |
Kraus P M, Baykusheva D and Wörner H J 2014 Phys. Rev. Lett. 113 023001
|
[41] |
Du H, Luo L, Wang X and Hu B 2012 Phys. Rev. A 86 013846
|
[42] |
Pan Y, Zhao S F and Zhou X X 2013 Phys. Rev. A 87 035805
|
[54] |
Yu S, Zhang B, Li Y, Yang S and Chen Y 2014 Phys. Rev. A 90 053844
|
[43] |
Chen Y J, Fu L B and Liu J 2013 Phys. Rev. Lett. 111 073902
|
[55] |
Kraus P M, Tolstikhin O I, Baykusheva D, Rupenyan A, Schneider J, Bisgaard C Z, Morishita T, Jensen F, Madsen L B and Wörner H J 2015 Nat. Commun. 6 7039
|
[56] |
Zhang B, Yu S J, Chen Y J, Jiang X Q and Sun X D 2015 Phys. Rev. A 92 053833
|
[44] |
Wu J, Zeng H and Guo C L 2006 Phys. Rev. A 74 031404
|
[57] |
Li W Y, Yu S J, Wang S and Chen Y J 2016 Phys. Rev. A 94 053407
|
[45] |
Bian X B and Bandrauk A D 2010 Phys. Rev. Lett. 105 093903
|
[46] |
Etches A, Gaarde M B and Madsen L B 2011 Phys. Rev. A 84 023418
|
[58] |
Shi Y Z, Zhang B, Li W Y, Yu S J and Chen Y J 2017 Phys. Rev. A 95 033406
|
[47] |
Heslar J, Telnov D and Chu S I 2011 Phys. Rev. A 83 043414
|
[59] |
Yu S J, Li W Y, Li Y P and Chen Y J 2017 Phys. Rev. A 96 013432
|
[48] |
Yue S J, Du H C, Wu H M, Xue S, Zhao J C and Hu B T 2017 Chin. Phys. B 26 074215
|
[60] |
Baker S, Robinson J S, Haworth C A, Teng H, Smith R A, Chirilń C C, Lein M, Tisch J W G and Marangos J P 2006 Science 312 424
|
[49] |
Frumker E, Hebeisen C T, Kajumba N, Bertrand J B, Wörner H J, Spanner M, Villeneuve D M, Naumov A and Corkum P B 2012 Phys. Rev. Lett. 109 113901
|
[61] |
Madsen C B and Madsen L B 2007 Phys. Rev. A 76 043419
|
[50] |
Kraus P M, Rupenyan A and Wörner H J 2012 Phys. Rev. Lett. 109 233903
|
[62] |
Madsen C B, Abu-samha M and Madsen L B 2010 Phys. Rev. A 81 043413
|
[51] |
Chen J, Yu S, Li Y, Wang S and Chen Y 2017 Chin. Phys. B 26 094209
|
[63] |
Wong M C H, Brichta J P and Bhardwaj V R 2010 Phys. Rev. A 81 061402
|
[52] |
Frumker E, Kajumba N, Bertrand J B, Wörner H J, Hebeisen C T, Hockett P, Spanner M, Patchkovskii S, Paulus G G, Villeneuve D M, Naumov A and Cokum P B 2012 Phys. Rev. Lett. 109 233904
|
[64] |
Ciappina M F, Becker A and Jaroń-Becker A 2007 Phys. Rev. A 76 063406
|
[53] |
Kraus P M, Baykusheva D and Wörner H J 2014 Phys. Rev. Lett. 113 023001
|
[65] |
Baykusheva D, Ahsan M S, Lin N and Wörner H J 2016 Phys. Rev. Lett. 116 123001
|
[54] |
Yu S, Zhang B, Li Y, Yang S and Chen Y 2014 Phys. Rev. A 90 053844
|
[66] |
Vampa G, McDonald C R, Orlando G, Klug D D, Corkum P B and Brabec T 2014 Phys. Rev. Lett. 113 073901
|
[55] |
Kraus P M, Tolstikhin O I, Baykusheva D, Rupenyan A, Schneider J, Bisgaard C Z, Morishita T, Jensen F, Madsen L B and Wörner H J 2015 Nat. Commun. 6 7039
|
[67] |
Wu M, Ghimire S, Reis D A, Schafer K J and Gaarde M B 2015 Phys. Rev. A 91 043839
|
[68] |
Guan Z, Zhou X X and Bian X B 2016 Phys. Rev. A 93 033852
|
[56] |
Zhang B, Yu S J, Chen Y J, Jiang X Q and Sun X D 2015 Phys. Rev. A 92 053833
|
[69] |
Du T Y, Guan Z, Zhou X X and Bian X B 2016 Phys. Rev. A 94 023419
|
[57] |
Li W Y, Yu S J, Wang S and Chen Y J 2016 Phys. Rev. A 94 053407
|
[58] |
Shi Y Z, Zhang B, Li W Y, Yu S J and Chen Y J 2017 Phys. Rev. A 95 033406
|
[70] |
Yu C, Zhang X R, Jiang S C, Cao X, Yuan G L, Wu T, Bai L H and Lu R F 2016 Phys. Rev. A 94 013846
|
[71] |
Jiang S, Wei H, Chen J, Yu C, Lu R and Lin C D 2017 Phys. Rev. A 96 053850
|
[59] |
Yu S J, Li W Y, Li Y P and Chen Y J 2017 Phys. Rev. A 96 013432
|
[72] |
Jiang S C, Yu C, Yuan G L, Wu T, Wang Z W and Lu R F 2017 J. Phys.:Condens. Matter 29 275702
|
[60] |
Baker S, Robinson J S, Haworth C A, Teng H, Smith R A, Chirilń C C, Lein M, Tisch J W G and Marangos J P 2006 Science 312 424
|
[61] |
Madsen C B and Madsen L B 2007 Phys. Rev. A 76 043419
|
[73] |
Kraus P M, Mignolet B, Baykusheva D, Rupenyan A, Horny L, Penka E F, Grassi G, Tolstikhin O I, Schneider J, Jensen F, Madsen L B, Bandrauk A D, Remacle F and Wörner H J 2015 Science 350 790
|
[74] |
Rupenyan A, Kraus P M, Schneider J and Wörner H J 2013 Phys. Rev. A 87 031401
|
[62] |
Madsen C B, Abu-samha M and Madsen L B 2010 Phys. Rev. A 81 043413
|
[63] |
Wong M C H, Brichta J P and Bhardwaj V R 2010 Phys. Rev. A 81 061402
|
[75] |
Feit M D, Jr Fleck J A and Steiger A 1982 J. Comput. Phys. 47 412
|
[64] |
Ciappina M F, Becker A and Jaroń-Becker A 2007 Phys. Rev. A 76 063406
|
[76] |
Shi Y Z, Wang S, Dong F L, Li Y P and Chen Y J 2017 J. Phys. B 50 065004
|
[65] |
Baykusheva D, Ahsan M S, Lin N and Wörner H J 2016 Phys. Rev. Lett. 116 123001
|
[66] |
Vampa G, McDonald C R, Orlando G, Klug D D, Corkum P B and Brabec T 2014 Phys. Rev. Lett. 113 073901
|
[67] |
Wu M, Ghimire S, Reis D A, Schafer K J and Gaarde M B 2015 Phys. Rev. A 91 043839
|
[68] |
Guan Z, Zhou X X and Bian X B 2016 Phys. Rev. A 93 033852
|
[69] |
Du T Y, Guan Z, Zhou X X and Bian X B 2016 Phys. Rev. A 94 023419
|
[70] |
Yu C, Zhang X R, Jiang S C, Cao X, Yuan G L, Wu T, Bai L H and Lu R F 2016 Phys. Rev. A 94 013846
|
[71] |
Jiang S, Wei H, Chen J, Yu C, Lu R and Lin C D 2017 Phys. Rev. A 96 053850
|
[72] |
Jiang S C, Yu C, Yuan G L, Wu T, Wang Z W and Lu R F 2017 J. Phys.:Condens. Matter 29 275702
|
[73] |
Kraus P M, Mignolet B, Baykusheva D, Rupenyan A, Horny L, Penka E F, Grassi G, Tolstikhin O I, Schneider J, Jensen F, Madsen L B, Bandrauk A D, Remacle F and Wörner H J 2015 Science 350 790
|
[74] |
Rupenyan A, Kraus P M, Schneider J and Wörner H J 2013 Phys. Rev. A 87 031401
|
[75] |
Feit M D, Jr Fleck J A and Steiger A 1982 J. Comput. Phys. 47 412
|
[76] |
Shi Y Z, Wang S, Dong F L, Li Y P and Chen Y J 2017 J. Phys. B 50 065004
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|