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By employing a full-order dispersion model, we numerically investigat the filamentation of few-cycle laser pulse focused in argon. The focusing effect caused by lens is simulated by quadratic phases e－ik(ω)r2/2f and －ik(0)r2/2f, separately. We find that it is inaccurate to simulate the focusing effect by employing e－ik(0)r2/2f, especially for the propagation of few-cycle. So quadratic phase e－ik(ω)r2/2f must be used in order to accurately simulate the effect induced by lens.
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Keywords:
- quadratic phase /
- filamentation /
- femtosecond pulse /
- focusing by lens
[1] Braun A, Korn G, Liu X, Du D, Squier J, Mourou G 1995 Opt. Lett. 20 73
[2] Couairon A, Mysyrowicz A 2007 Phy. Rep. 441 47
[3] Chin S L, Hosseini S A, Liu W, Luo Q, Théberge F, Akzbek N, Becker A, Kandidov V P, Kosareva O G, Schroeder H 2005 Can. J. Phys. 83 863
[4] Tang H, Guo H, Liu M W, Qiu Y L, Deng D M 2003 Acta Phys. Sin. 52 2170 (in Chinese) [唐 华、郭 弘、刘明伟、云 利、邓冬梅 2003 52 2170]
[5] Chen X W, Zhu Y, Liu J, Leng Y X, Ge X C, Li R X, Xu Z Z 2005 Acta Phys. Sin.54 5178 (in Chinese) [陈晓伟、朱 毅、刘 军、冷雨欣、葛晓春、李儒新、徐至展2005 54 5178]
[6] Chen X W, Liu J, Zhu Y, Leng Y X, Ge X C, Li R X, Xu Z Z 2005 Acta Phys. Sin.54 3665 (in Chinese) [陈晓伟、刘 军、朱 毅、冷雨欣、葛晓春、李儒新、徐至展2005 54 3665]
[7] Cao S Y, Zhang Z G, Chai L, Wang Q Y, Yang J J, Zhu X N 2007 Acta Phys. Sin. 56 2765 (in Chinese)[曹士英、 张志冈、柴 路、王清月、杨建军、朱晓农 2007 56 2765]
[8] Ackermann R, Stelmaszcyk K, Rohwetter P, Mejean G, Salmon E, Yu J, Kasparian J, Mechain G, Bergmann V, Schaper S, Weise B, Kumm T,Rethmeier K, Kalkner W, Wste L, Wolf J P 2004 Appl. Phys. Lett. 85 5781
[9] Stelmaszczyk K, Rohwetter P, Méjean G, Yu J, Salmon E, Kasparian J, Ackermann R, Wolf J P, Wste L 2004 Appl. Phys. Lett. 85 3977
[10] Luo Q, Xu H L, Hosseini S A, Daigle J F, Théberge F, Sharifi M, Chin S L 2006 Appl. Phys. B 82 105
[11] Liu J, Schroeder H, Chin S L, Yu W, Li R, Xu Z 2005 Phys. Rev. A 72 053817
[12] Liu J, Li R, Xu Z 2006 Phys. Rev. A 74 043801
[13] Wang Z, Liu J, Li R, Xu Z 2009 Opt. Expr. 17 13841
[14] Bergé L, Skupin S, Stei nmeyer G 2009 Phys. Rev. A 79 033838
[15] Li Y T, Xi T T, Hao Z Q, Zhang Z, Peng X Y, Li K, Jin Z, Zheng Z Y, Yu Q Z, Lu X, Zhang J 2007 Opt. Expr. 15 17973
[16] Skupin S, Stibenz G, Bergé L, Lederer F, Sokollik T, Schnürer M, Zhavoronkov N, Stei nmeyer G 2006 Phys. Rev. E 74 056604
[17] Wen S C, Fan DY 2001 Chin. Phys. 10 1032
[18] Xi T T, Lu X, Hao Z Q, Ma Y Y, Zhang J 2009 Chin. Phys. B 18 4303
[19] Zhuo H B, Hu Q F, Liu J, Chi L H, Zhang W Y 2005 Acta Phys. Sin. 54 197 (in Chinese) [卓红斌、胡庆丰、刘 杰、迟利华、张文勇2005 54 197]
[20] Zhang H 2005 Chin. Phys. 14 2019
[21] Duan Z L, Chen J P, Li R X, Lin L H,Xu Z Z 2004 Chin. Phys. 13 359
[22] Duan Z L, Chen J P, Fang Z B, Wang X T, Li R X, Lin L H, Xu Z Z 2004 Acta Phys. Sin. 53 473 (in Chinese) [段作梁、 陈建平、 方宗豹、 王兴涛、 李儒新、 林礼煌、 徐至展2004 53 473]
[23] Li Y T, Zhang J, Chen L M, Zhao L Z, Xia J F, Teng H, Li Y H, Li Y J, Zhu C Y, Jiang W M 2001 Acta Phys. Sin. 50 204 (in Chinese)[李玉同、张 杰、陈黎明、赵理曾、夏江帆、腾 浩、李英骏、朱成银、江文勉2001 50 204]
[24] Zhong J Y, Li Y T, Lu X, Zhang Y, Bernhardt J, Liu F, Hao Z Q, Zhang Z, Yu Q Z,Chen M, Yuan X H, Liang W X, Zhao G, Zhang J 2007 Acta Phys. Sin. 56 7114 (in Chinese) [仲佳勇、 李玉同、 鲁 欣、 张 翼、 Bernhardt Jens、 刘 峰、 郝作强、 张 喆、 于全芝、 陈 民、 远晓辉、 梁文锡、 赵 刚、 张 杰2007 56 7114 ] 〖25] Goodman J W 1996 Introduction to Fourier Optics (McGraw-Hill, 2nd ed ) p212
[25] Dalgarno A, Kingston A E 1960 Proc. R. Soc. Lond. A: Math. Phys. Sci. 259 424
[26] Akzbek N, Trushin S A, Baltuka A, Fuβ W, Goulielmakis Kosma E K, Krausz F, Panja S, Uiberacker M, Schmid W E, Becker A, Scalora M, Bloeme M, 2006 New J. Phys. 8 177
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[1] Braun A, Korn G, Liu X, Du D, Squier J, Mourou G 1995 Opt. Lett. 20 73
[2] Couairon A, Mysyrowicz A 2007 Phy. Rep. 441 47
[3] Chin S L, Hosseini S A, Liu W, Luo Q, Théberge F, Akzbek N, Becker A, Kandidov V P, Kosareva O G, Schroeder H 2005 Can. J. Phys. 83 863
[4] Tang H, Guo H, Liu M W, Qiu Y L, Deng D M 2003 Acta Phys. Sin. 52 2170 (in Chinese) [唐 华、郭 弘、刘明伟、云 利、邓冬梅 2003 52 2170]
[5] Chen X W, Zhu Y, Liu J, Leng Y X, Ge X C, Li R X, Xu Z Z 2005 Acta Phys. Sin.54 5178 (in Chinese) [陈晓伟、朱 毅、刘 军、冷雨欣、葛晓春、李儒新、徐至展2005 54 5178]
[6] Chen X W, Liu J, Zhu Y, Leng Y X, Ge X C, Li R X, Xu Z Z 2005 Acta Phys. Sin.54 3665 (in Chinese) [陈晓伟、刘 军、朱 毅、冷雨欣、葛晓春、李儒新、徐至展2005 54 3665]
[7] Cao S Y, Zhang Z G, Chai L, Wang Q Y, Yang J J, Zhu X N 2007 Acta Phys. Sin. 56 2765 (in Chinese)[曹士英、 张志冈、柴 路、王清月、杨建军、朱晓农 2007 56 2765]
[8] Ackermann R, Stelmaszcyk K, Rohwetter P, Mejean G, Salmon E, Yu J, Kasparian J, Mechain G, Bergmann V, Schaper S, Weise B, Kumm T,Rethmeier K, Kalkner W, Wste L, Wolf J P 2004 Appl. Phys. Lett. 85 5781
[9] Stelmaszczyk K, Rohwetter P, Méjean G, Yu J, Salmon E, Kasparian J, Ackermann R, Wolf J P, Wste L 2004 Appl. Phys. Lett. 85 3977
[10] Luo Q, Xu H L, Hosseini S A, Daigle J F, Théberge F, Sharifi M, Chin S L 2006 Appl. Phys. B 82 105
[11] Liu J, Schroeder H, Chin S L, Yu W, Li R, Xu Z 2005 Phys. Rev. A 72 053817
[12] Liu J, Li R, Xu Z 2006 Phys. Rev. A 74 043801
[13] Wang Z, Liu J, Li R, Xu Z 2009 Opt. Expr. 17 13841
[14] Bergé L, Skupin S, Stei nmeyer G 2009 Phys. Rev. A 79 033838
[15] Li Y T, Xi T T, Hao Z Q, Zhang Z, Peng X Y, Li K, Jin Z, Zheng Z Y, Yu Q Z, Lu X, Zhang J 2007 Opt. Expr. 15 17973
[16] Skupin S, Stibenz G, Bergé L, Lederer F, Sokollik T, Schnürer M, Zhavoronkov N, Stei nmeyer G 2006 Phys. Rev. E 74 056604
[17] Wen S C, Fan DY 2001 Chin. Phys. 10 1032
[18] Xi T T, Lu X, Hao Z Q, Ma Y Y, Zhang J 2009 Chin. Phys. B 18 4303
[19] Zhuo H B, Hu Q F, Liu J, Chi L H, Zhang W Y 2005 Acta Phys. Sin. 54 197 (in Chinese) [卓红斌、胡庆丰、刘 杰、迟利华、张文勇2005 54 197]
[20] Zhang H 2005 Chin. Phys. 14 2019
[21] Duan Z L, Chen J P, Li R X, Lin L H,Xu Z Z 2004 Chin. Phys. 13 359
[22] Duan Z L, Chen J P, Fang Z B, Wang X T, Li R X, Lin L H, Xu Z Z 2004 Acta Phys. Sin. 53 473 (in Chinese) [段作梁、 陈建平、 方宗豹、 王兴涛、 李儒新、 林礼煌、 徐至展2004 53 473]
[23] Li Y T, Zhang J, Chen L M, Zhao L Z, Xia J F, Teng H, Li Y H, Li Y J, Zhu C Y, Jiang W M 2001 Acta Phys. Sin. 50 204 (in Chinese)[李玉同、张 杰、陈黎明、赵理曾、夏江帆、腾 浩、李英骏、朱成银、江文勉2001 50 204]
[24] Zhong J Y, Li Y T, Lu X, Zhang Y, Bernhardt J, Liu F, Hao Z Q, Zhang Z, Yu Q Z,Chen M, Yuan X H, Liang W X, Zhao G, Zhang J 2007 Acta Phys. Sin. 56 7114 (in Chinese) [仲佳勇、 李玉同、 鲁 欣、 张 翼、 Bernhardt Jens、 刘 峰、 郝作强、 张 喆、 于全芝、 陈 民、 远晓辉、 梁文锡、 赵 刚、 张 杰2007 56 7114 ] 〖25] Goodman J W 1996 Introduction to Fourier Optics (McGraw-Hill, 2nd ed ) p212
[25] Dalgarno A, Kingston A E 1960 Proc. R. Soc. Lond. A: Math. Phys. Sci. 259 424
[26] Akzbek N, Trushin S A, Baltuka A, Fuβ W, Goulielmakis Kosma E K, Krausz F, Panja S, Uiberacker M, Schmid W E, Becker A, Scalora M, Bloeme M, 2006 New J. Phys. 8 177
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