Quantum path interferences of high-order harmonic generation in two-color Gaussian beams

Li Xiao-Gang; Li Fang; He Zhi-Cong

doi:10.7498/aps.62.087201

Abstract

The phase matching of the quantum paths in high-order harmonic generation is investigated in two-color laser fields. The results show that the spatial distribution of the laser field is optimized by adjusting the laser beam waist, the phase-matching properties of the long trajectories can be modulated effectively, and then good phase matching for both the two paths can be achieved from on-axis region to off-axis region. A radial clear interference fringe induced by the well phase-matching of two paths can be observed by placing a near-field filter, which has great potential for distinguishing clearly different interference effects and observing higher order trajectories with improved detection sensitivity.

Keywords:

Authors and contacts

1.
School of Science, Wuhan Institute of Technology, Wuhan 430073, China
Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11204222).

References

[1]	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, Kleineberg U 2008 Science 320 1614
[2]	Rundquist A, Durfee III C G, Chang Z, Herne C, Backus S, Murnane M M, Kapteyn H C 1998 Science 280 1412
[3]	Tzallas P, Charalambidis D, Papadoglannis N A, Witte K, Tsakiris G D 2003 Nature 426 267
[4]	Bartels R A, Paul A, Green H, Kapteyn H C, Murnane M M, Backus S, Christov I P, Liu Y, Attwood D, Jacobsen C 2002 Science 297 376
[5]	Drescher M, Hentschel M, Kienberger R, Tempea G, Spielmann C, Reider G A, Corkum P B, Krausz F 2001 Science 291 1923
[6]	Hentschel M, Kienberger R, Spielmann C, Reider G A, Milosevic N, Brabec T, Corkum P, Heinzmann U, Drescher M, Krausz F 2001 Nature 414 509
[7]	Gaarde M B, Schafer K J 2002 Phys. Rev. Lett. 89 213901
[8]	Schafer K J, Gaarde M B, Heinrich A, Biegert J, Keller U 2004 Phys. Rev. Lett. 92 023003
[9]	Zeng Z, Cheng Y, Song X H, Li R X, Xu Z Z 2007 Phys. Rev. Lett. 98 203901
[10]	Lan P F, Lu P X, Cao W, Li Y H, Wang X L 2007 Phys. Rev. A 76 011402(R)
[11]	Zhang Q B, Lu P X, Lan P F, Hong W Y, Yang Z Y 2008 Opt. Express 16 9795
[12]	Cao W, Lu P X, Lan P F, Wang X L, Li Y H 2007 Phys. Rev. A 75 063423
[13]	Pfeifer T, Gallmann L, Abel M J, Neumark D M, Leone S R 2006 Opt. Lett. 31 975
[14]	Hong W Y, Lu P X, Li Q G, Zhang Q B 2009 Opt. Lett. 34 2102
[15]	Kim C M, Kim I J, Nam C H 2005 Phys. Rev. A 72 033817
[16]	Cao W, Lu P X, Lan P F, Wang X L, Yang G 2006 Phys. Rev. A 74 063821
[17]	Agostini P, Fabre F, Mainfray G, Petite G, Rahman N K 1979 Phys. Rev. Lett. 42 1127
[18]	Paulus G G, Becker W, Nicklich W, Walther H 1994 J. Phys. B 27 L703
[19]	Posthumus J H 2004 Rep. Prog. Phys. 67 623
[20]	Liao Q, Lu P X, Lan P F, Cao W, Li Y H 2008 Phys. Rev. A 77 013408
[21]	Cao W, Lu P X, Lan P F, Li Y H, Wang X L 2008 J. Phys. B 41 085601
[22]	Weber T, Giessen H, Weckenbrock M, Urbasch G, Staudte A, Spielberger L, Jagutzki O, Mergel V, Vollmer M, Dörner R 2000 Nature 405 658
[23]	Zhou Y M, Huang C, Liao Q, Lu P X 2012 Phys. Rev. Lett. 109 053004
[24]	Simonsen A S, Sorngård S A, Nepstad R, Forre M 2012 Phys. Rev. A 85 063404
[25]	Liao Q, Lu P X, Zhang Q B, Yang Z Y, Wang X B 2008 Opt. Express 16 17070
[26]	Zhou Y M, Liao Q, Zhang Q B, Hong W Y, Lu P X 2010 Opt. Express 18 632
[27]	Liao Q, Zhou Y M, Huang C, Lu P X 2012 New J. Phys. 14 013001
[28]	Sattler K, Mhlbach J, Echt O, Pfau P, Recknagel E 1981 Phys. Rev. Lett. 47 160
[29]	Lan P F, Lu P X, Li F, Li Y H, Yang Z Y 2008 Opt. Express 16 5868
[30]	Corkum P B 1993 Phys. Rev. Lett. 71 1994
[31]	Lan P F, Lu P X, Cao W, Wang X L 2007 J. Phys. B 40 403
[32]	Lan P F, Lu P X, Cao W, Wang X L, Hong W Y 2007 Opt. Lett. 32 1186
[33]	Hong W Y, Wei P F, Zhang Q B, Wang S Y, Lu P X 2010 Opt. Express 18 11308
[34]	Chang Z H 2004 Phys. Rev. A 70 043802
[35]	Lan P F, Lu P X, Cao W, Li Y H, Wang X L 2007 Phys. Rev. A 76 051801
[36]	Cao W, Lu P X, Lan P F, Wang X L, Yang G 2007 Opt. Express 15 530
[37]	Pfeifei T, Gallmann L, Abel M J, Nagel P M, Neumark D M, Leone D R 2006 Phys. Rev. Lett. 97 163901
[38]	Wang S Y, Hong W Y, Zhang Q B, Liu K L, Zhu X S, Lu P X 2011 Opt. Express 19 9986
[39]	Dai J, Zeng Z N, Li R X, Xu Z Z 2010 Chin. Phys. B 19 113203
[40]	Hong W Y, Lu P X, Lan P F, Zhang Q B, Wang X B 2009 Opt. Express 17 5139
[41]	Wu J, Zhang G T, Xia C L, Liu X S 2010 Phys. Rev. A 82 013411
[42]	Lan P F, Lu P X, Li Q G, Hong W Y, Zhang Q B 2009 Phys. Rev. A 79 043413
[43]	Zaír 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, Saliéres P 2008 Phys. Rev. Lett. 100 143902
[44]	Auguste T, Saliéres P, Wyatt A S, Monmayrant A, Walmsley I A, Cormier E, Zaír A, Holler M, Guandalini A, Schapper F, Biegert J, Gallmann L, Keller U 2009 Phys. Rev. A 80 033817
[45]	Wang S Y, Zhang Q B, Hong W Y, Zhu X S, Lu P X 2011 Opt. Express 19 25125
[46]	Schapper F, Holler M, Auguste T, Zaír A, Weger P, Saliéres P, Gallmann L, Keller U 2010 Opt. Express 18 2987
[47]	Lewenstein M, Balcou P, Ivanov Y M, L'Huillier A, Corkum P B 1994 Phys. Rev. A 49 2117
[48]	Ammosov M V, Delone N B, Krainov V P 1986 Sov. Phys. JETP 64 1191
[49]	Li Q G, Lu P X, Hong W Y, Zhang Q B, Yang Z Y 2009 Phys. Rev. A 80 043417
[50]	Priori E, Cerullo G, Nisoli M, Stagira S, Silvestri de S, Villoresi P, Poletto L, Ceccherini P, Altucci C, Bruzzese R, Lisio de C 2000 Phys. Rev. A 61 063801
[51]	Balcou P, Saliéres P, L'Huillier A, Lewenstein M 1997 Phys. Rev. A 55 3204

Cited By

[1]	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, Kleineberg U 2008 Science 320 1614
[2]	Rundquist A, Durfee III C G, Chang Z, Herne C, Backus S, Murnane M M, Kapteyn H C 1998 Science 280 1412
[3]	Tzallas P, Charalambidis D, Papadoglannis N A, Witte K, Tsakiris G D 2003 Nature 426 267
[4]	Bartels R A, Paul A, Green H, Kapteyn H C, Murnane M M, Backus S, Christov I P, Liu Y, Attwood D, Jacobsen C 2002 Science 297 376
[5]	Drescher M, Hentschel M, Kienberger R, Tempea G, Spielmann C, Reider G A, Corkum P B, Krausz F 2001 Science 291 1923
[6]	Hentschel M, Kienberger R, Spielmann C, Reider G A, Milosevic N, Brabec T, Corkum P, Heinzmann U, Drescher M, Krausz F 2001 Nature 414 509
[7]	Gaarde M B, Schafer K J 2002 Phys. Rev. Lett. 89 213901
[8]	Schafer K J, Gaarde M B, Heinrich A, Biegert J, Keller U 2004 Phys. Rev. Lett. 92 023003
[9]	Zeng Z, Cheng Y, Song X H, Li R X, Xu Z Z 2007 Phys. Rev. Lett. 98 203901
[10]	Lan P F, Lu P X, Cao W, Li Y H, Wang X L 2007 Phys. Rev. A 76 011402(R)
[11]	Zhang Q B, Lu P X, Lan P F, Hong W Y, Yang Z Y 2008 Opt. Express 16 9795
[12]	Cao W, Lu P X, Lan P F, Wang X L, Li Y H 2007 Phys. Rev. A 75 063423
[13]	Pfeifer T, Gallmann L, Abel M J, Neumark D M, Leone S R 2006 Opt. Lett. 31 975
[14]	Hong W Y, Lu P X, Li Q G, Zhang Q B 2009 Opt. Lett. 34 2102
[15]	Kim C M, Kim I J, Nam C H 2005 Phys. Rev. A 72 033817
[16]	Cao W, Lu P X, Lan P F, Wang X L, Yang G 2006 Phys. Rev. A 74 063821
[17]	Agostini P, Fabre F, Mainfray G, Petite G, Rahman N K 1979 Phys. Rev. Lett. 42 1127
[18]	Paulus G G, Becker W, Nicklich W, Walther H 1994 J. Phys. B 27 L703
[19]	Posthumus J H 2004 Rep. Prog. Phys. 67 623
[20]	Liao Q, Lu P X, Lan P F, Cao W, Li Y H 2008 Phys. Rev. A 77 013408
[21]	Cao W, Lu P X, Lan P F, Li Y H, Wang X L 2008 J. Phys. B 41 085601
[22]	Weber T, Giessen H, Weckenbrock M, Urbasch G, Staudte A, Spielberger L, Jagutzki O, Mergel V, Vollmer M, Dörner R 2000 Nature 405 658
[23]	Zhou Y M, Huang C, Liao Q, Lu P X 2012 Phys. Rev. Lett. 109 053004
[24]	Simonsen A S, Sorngård S A, Nepstad R, Forre M 2012 Phys. Rev. A 85 063404
[25]	Liao Q, Lu P X, Zhang Q B, Yang Z Y, Wang X B 2008 Opt. Express 16 17070
[26]	Zhou Y M, Liao Q, Zhang Q B, Hong W Y, Lu P X 2010 Opt. Express 18 632
[27]	Liao Q, Zhou Y M, Huang C, Lu P X 2012 New J. Phys. 14 013001
[28]	Sattler K, Mhlbach J, Echt O, Pfau P, Recknagel E 1981 Phys. Rev. Lett. 47 160
[29]	Lan P F, Lu P X, Li F, Li Y H, Yang Z Y 2008 Opt. Express 16 5868
[30]	Corkum P B 1993 Phys. Rev. Lett. 71 1994
[31]	Lan P F, Lu P X, Cao W, Wang X L 2007 J. Phys. B 40 403
[32]	Lan P F, Lu P X, Cao W, Wang X L, Hong W Y 2007 Opt. Lett. 32 1186
[33]	Hong W Y, Wei P F, Zhang Q B, Wang S Y, Lu P X 2010 Opt. Express 18 11308
[34]	Chang Z H 2004 Phys. Rev. A 70 043802
[35]	Lan P F, Lu P X, Cao W, Li Y H, Wang X L 2007 Phys. Rev. A 76 051801
[36]	Cao W, Lu P X, Lan P F, Wang X L, Yang G 2007 Opt. Express 15 530
[37]	Pfeifei T, Gallmann L, Abel M J, Nagel P M, Neumark D M, Leone D R 2006 Phys. Rev. Lett. 97 163901
[38]	Wang S Y, Hong W Y, Zhang Q B, Liu K L, Zhu X S, Lu P X 2011 Opt. Express 19 9986
[39]	Dai J, Zeng Z N, Li R X, Xu Z Z 2010 Chin. Phys. B 19 113203
[40]	Hong W Y, Lu P X, Lan P F, Zhang Q B, Wang X B 2009 Opt. Express 17 5139
[41]	Wu J, Zhang G T, Xia C L, Liu X S 2010 Phys. Rev. A 82 013411
[42]	Lan P F, Lu P X, Li Q G, Hong W Y, Zhang Q B 2009 Phys. Rev. A 79 043413
[43]	Zaír 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, Saliéres P 2008 Phys. Rev. Lett. 100 143902
[44]	Auguste T, Saliéres P, Wyatt A S, Monmayrant A, Walmsley I A, Cormier E, Zaír A, Holler M, Guandalini A, Schapper F, Biegert J, Gallmann L, Keller U 2009 Phys. Rev. A 80 033817
[45]	Wang S Y, Zhang Q B, Hong W Y, Zhu X S, Lu P X 2011 Opt. Express 19 25125
[46]	Schapper F, Holler M, Auguste T, Zaír A, Weger P, Saliéres P, Gallmann L, Keller U 2010 Opt. Express 18 2987
[47]	Lewenstein M, Balcou P, Ivanov Y M, L'Huillier A, Corkum P B 1994 Phys. Rev. A 49 2117
[48]	Ammosov M V, Delone N B, Krainov V P 1986 Sov. Phys. JETP 64 1191
[49]	Li Q G, Lu P X, Hong W Y, Zhang Q B, Yang Z Y 2009 Phys. Rev. A 80 043417
[50]	Priori E, Cerullo G, Nisoli M, Stagira S, Silvestri de S, Villoresi P, Poletto L, Ceccherini P, Altucci C, Bruzzese R, Lisio de C 2000 Phys. Rev. A 61 063801
[51]	Balcou P, Saliéres P, L'Huillier A, Lewenstein M 1997 Phys. Rev. A 55 3204

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Vol. 62, Issue 8 - 2013-04-20

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