Odd-even harmonic emission from asymmetric molecules: Identifying the mechanism

doi:10.1088/1674-1056/26/9/094209

Abstract

We study odd-even high-order harmonic generation (HHG) from oriented asymmetric molecules HeH²⁺ numerically and analytically. The variational method is used to improve the analytical description of the ground-state wave function for the asymmetric system, with which the ground-state-continuum-state transition dipole is evaluated. The comparison between the odd-even HHG spectra and the improved dipoles allows us to identify and clarify the complex generation mechanism of odd-even harmonics from asymmetric molecules, providing deep insights into the relation between the odd-even HHG and the asymmetric molecular orbital.

Keywords: odd-even harmonics asymmetric molecules dipoles variational method

Received: 22 March 2017
Revised: 25 April 2017
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 (Grant No. 11274090) and the Fundamental Research Funds for the Central Universities, China (Grant No. SNNU. GK201403002).

Corresponding Authors: Yanjun Chen
E-mail: chenyanjun@snnu.edu.cn

Cite this article:

Jianguo Chen(陈建国), Shujuan Yu(于术娟), Yanpeng Li(李雁鹏), Shang Wang(王赏), Yanjun Chen(陈彦军) Odd-even harmonic emission from asymmetric molecules: Identifying the mechanism 2017 Chin. Phys. B 26 094209

[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
[2]	L'Huillier A, Schafer K J and Kulander K C 1991 J. Phys. B 24 3315
[3]	Antoine P, Anne L and Lewenstein M 1996 Phys. Rev. Lett. 77 1234
[4]	Krausz F and Ivanov M 2009 Rev. Mod. Phys. 81 163
[5]	Corkum P B 1993 Phys. Rev. Lett. 71 1994
[6]	Lewenstein M, Balcou P, Ivanov M Y, L'Huillier A and Corkum P B 1994 Phys. Rev. A 49 2117
[7]	Lein M, Hay N, Velotta R, Marangos J P and Knight P L 2002 Phys. Rev. A 66 023805
[8]	Lein M, Corso P P, Marangos J P and Knight P L 2003 Phys. Rev. A 67 023819
[9]	Lagmago K G and Bandrauk A D 2005 Phys. Rev. A 71 053407
[10]	Zhou X X, Tong X M, Zhao Z X and Lin C D 2005 Phys. Rev. A 72 033412
[11]	Wang B, Cheng T, Li X, Fu P, Chen S and Liu J 2005 Phys. Rev. A 72 063412
[12]	Chen J, Chu S I and Liu J 2006 J. Phys. B 39 4747
[13]	Song Y, Li S Y, Liu X S, Guo F M and Yang Y J 2013 Phys. Rev. A 88 053419
[14]	Kamta G L and Bandrauk A D 2005 Phys. Rev. Lett. 94 203003
[15]	Wu J, Zeng H and Guo C l 2006 Phys. Rev. A 74 031404
[16]	Rupenyan A, Kraus P M, Schneider J and Wörner H J 2013 Phys. Rev. A 87 031401
[17]	Akagi H, Otobe T, Staudte A, Shiner A, Turner F, Dörner R, Villeneuve D M and Corkum P B 2009 Science 325 1364
[18]	Shi Y Z, Zhang B, Li W Y, Yu S J and Chen Y J 2017 Phys. Rev. A 95 033406
[19]	Etches A and Madsen L B 2010 J. Phys. B 43 155602
[20]	Augstein B B and Faria C F D M 2011 J. Mod. Opt. 58 1173
[21]	Pan Y, Zhao S F and Zhou X X 2013 Phys. Rev. A 87 035805
[22]	Zhu X S, Zhang Q B, Hong W Y, Lan P F and Lu P X 2011 Opt. Express 19 436
[23]	Du H C, Luo L Y, Wang X S and Hu B T 2012 Phys. Rev. A 86 013846
[24]	Miao X Y and Du H N 2013 Phys. Rev. A 87 053403
[25]	Bian X B and Bandrauk A D 2010 Phys. Rev. Lett. 105 093903
[26]	Etches A, Gaarde M B and Madsen L B 2011 Phys. Rev. A 84 023418
[27]	Heslar J, Telnov D and Chu S I 2011 Phys. Rev. A 83 043414
[28]	Chen Y J and Zhang B 2011 Phys. Rev. A 84 053402
[29]	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
[30]	Kraus P M, Rupenyan A and Wörner H J 2012 Phys. Rev. Lett. 109 233903
[31]	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 Corkum P B 2012 Phys. Rev. Lett. 109 233904
[32]	Kraus P M, Baykusheva D and Wörner H J 2014 Phys. Rev. Lett. 113 023001
[33]	Chen Y J, Fu L B and Liu J 2013 Phys. Rev. Lett. 111 073902
[34]	Zhang B, Chen Y J, Jiang X Q and Sun X D 2013 Phys. Rev. A. 88 053428
[35]	Yu S J, Zhang B, Li Y, Yang S and Chen Y J 2014 Phys. Rev. A 90 053844
[36]	Zhang B, Yu S J, Chen Y J, Jiang X Q and Sun X D 2015 Phys. Rev. A. 92 053833
[37]	Li W Y, Yu S J, Wang S, and Chen Y J 2016 Phys. Rev. A. 94 053407
[38]	Chen Y J and Zhang B 2012 Phys. Rev. A. 86 023415
[39]	Lein M, Hay N, Velotta R, Marangos J P and Knight P L 2002 Phys. Rev. Lett. 88 183903
[40]	Kanai T, Minemoto S and Sakai H 2005 Nature 435 470
[41]	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
[42]	Le A T, Tong X M and Lin C D 2006 Phys. Rev. A 73 041402
[43]	Chen Y J, Liu J and Hu B 2009 J. Chem. Phys. 130 044311
[44]	Wu Y, Zhang J, Ye H and Xu Z 2011 Phys. Rev. A 83 023417
[45]	Itatani J, Levesque J, Zeidler D, Niikura H, Pepin H, Kieffer J C, Corkum P B and Villeneuve D M 2004 Nature 432 867
[46]	Son S K, Telnov D A and Chu S I 2010 Phys. Rev. A 82 043829
[47]	Zhang X F, Zhu X S, Liu X, Wang D, Zhang Q B, Lan P F and Lu P X 2017 Opt. Lett. 42 1027
[48]	Zhou X, Lock R, Wagner N, Li W, Kapteyn H C and Murnane M M 2009 Phys. Rev. Lett. 102 073902
[49]	Li L, Wang Z, Li F and Long H 2017 Opt. Quant. Electron. 49 73
[50]	Levesque J, Mairesse Y, Dudovich N, Pépin H, Kieffer J C, Corkum P B and Villeneuve D M 2007 Phys. Rev. Lett. 99 243001
[51]	Zhai C Y, Zhu X S, Lan P F, Wang F, He L X, Shi W J, Li Y, Li M, Zhang Q B and Lu P X 2017 Phys. Rev. A 95 033420
[52]	Ramakrishna S, Sherratt P A J, Dutoi A D and Seideman T 2010 Phys. Rev. A 81 021802
[53]	Sherratt P A J, Ramakrishna S and Seideman T 2011 Phys. Rev. A 83 053425
[54]	Feit M D, Fleck J J A and Steiger A 1982 J. Comput. Phys. 47 412
[55]	Antoine P, L'Huillier A and Lewenstein M 1996 Phys. Rev. Lett. 77 1234
[56]	Sansone G, Benedetti E, Caumes J P, Stagira S, Vozzi C, Silvestri S D and Nisoli M 2006 Phys. Rev. A 73 053408
[57]	Zaïr A, Holler M, Guandalini A, Schapper F, Biegert J, Gallmann L, Keller U, Wyatt A S, Monmayrant A, Walmsley I A, Cormier E, Auguste T, Caumes J P and Saliéres P 2008 Phys. Rev. Lett. 100 143902
[58]	Strelkov V V, Gonoskov A A, Gonoskov I A and Ryabikin M Y 2011 Phys. Rev. Lett. 107 043902
[59]	Chen Y J and Hu B 2009 Phys. Rev. A 80 033408

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