飞秒啁啾Gauss型脉冲在稠密Λ型三能级原子介质中的传播

王振东; 梁变; 刘中波; 樊锡君

doi:10.7498/aps.59.7041

摘要

利用由预估校正(PC)- 时域有限差分(FDTD)法求得的不含慢变包络近似(SVEA)和旋转波近似(RWA)的全波Maxwell-Bloch方程的数值解, 研究了飞秒啁啾Gauss型激光脉冲(以下简称啁啾脉冲)在稠密Λ型三能级原子介质中的传播.研究表明,啁啾系数(C)的正负及大小的变化对脉冲传播特性有显著的影响,而且这个影响与脉冲面积的大小密切相关.面积小于4π的啁啾脉冲,在介质中传播时不发生分裂,且啁啾脉冲逐渐演化为一个近似的无啁啾(C=0)脉冲,这一特点不随啁啾系数的改变而

关键词:

Abstract

We investigate propagation of femtosecond chirped Gaussian laser pulse in a dense three-level Λ-type atomic medium by using the numerical solution of the full Maxwell-Bloch equations without the slowly varying envelope and the rotating-wave approximations, and the solution is obtained by PC-FDTD method. It is shown that, variation of the sign and size of the chirp coefficient has considerable effect on pulse propagation property, and the effect is closely relative to size of the pulse area. When the area of chirped pulse is smaller than 4π, splitting doesn’t occur and the chirped pulse evolves gradually to an approximate normal Gaussian pulse (C=0), and this characteristic doesn’t vary with the chirp coefficient varying. However, variation of the chirp coefficient will changed the amplitude and group velocity of the pulse. For the positive chirp(C>0), amplitude and group velocity of the pulse decrease with chirp coefficient increasing, for the negative chirp(CC increasing. Both the chirped pulses with area equal to larger than 4π will split into sub-pulses of different numbers and shapes, the time and number of the pulse splitting will be determined by the sign and size of the chirp coefficient. But in the two cases, the pulse splitting patterns are much different, and the effects of the coefficient are also different. When the pulse area equals 4π, larger chirp coefficient will lead to increased sub-pulse number, but when the pulse area is larger than 4π, larger chirp coefficient will lead to decreased sub-pulse number. In addition, regardless of pulse area being larger or smaller, changing sign and size of the chirp coefficient always produces obvious effect on the atomic population.

Keywords:

作者及机构信息

(1)山东师范大学物理与电子科学学院,济南 250014; (2)泰山学院物理与电子工程学院,泰安 271021

基金项目: 国家重点基础研究发展计划(批准号: 2006CB806000)、国家自然科学基金(批准号:10875072)和中国科学院上海光机所强场激光物理国家重点实验室开放基金资助的课题.

Authors and contacts

(1)College of Physics and Electronics, Shandong Normal University, Jinan 250014, China; (2) College of Physics and Electronics, Taishan University, Taian 271021, China

参考文献

[1]	Brabec T,Krausz F 2000 Rev. Mod. Phys. 72 545
[2]	Yang W F,Song X H,Gong S Q,Cheng Y,Xu Z Z 2007 Phys. Rev. Lett. 99 133602
[3]	Winterfeldt C,Spielmann C,Gerber G 2008 Rev. Mod. Phys. 80 117
[4]	Quan W,Lin Z,Wu M,Kang H,Liu H,Liu X,Chen J,Liu J,He X T,Chen S G, Xiong H,Guo L,Xu H,Fu Y,Cheng Y,Xu Z Z 2009 Phys. Rev. Lett. 103 093001
[5]	Hu Q L,Liu S B,Li W 2008 Chin. Phys. B 17 1050
[6]	He M Q,Dong Q L,Sheng Z M,Wong S M,Chen M,Wu H C,Zhang J 2009 Acta Phys. Sin. 58 363 (in Chinese) [何民卿、董全力、盛政明、翁苏明、陈民、武慧春、张杰 2009 58 363]
[7]	Peng Y J,Liu Y Q,Wang Y H,Zhang S P,Yang Y Q 2009 Acta Phys. Sin. 58 655 (in Chinese) [彭亚晶、刘玉强、王英惠、张淑平、杨延强 2009 58 655]
[8]	Zhao Z G,Pan L Z,Lü B D 2008 Chin. Phys. B 17 2451
[9]	Lu D Q,Hu W,Qian L J,Fan D Y 2009 Acta Phys. Sin. 58 1655 (in Chinese) [陆大全、胡巍、钱列加、范滇元 2009 58 1655]
[10]	Sun Y P,Liu J C,Wang C K 2009 Acta Phys. Sin. 58 3934 (in Chinese) [孙玉萍、刘纪彩、王传奎 2009 58 3934]
[11]	McCall S L,Hahn E L 1969 Phys. Rev. 183 457
[12]	Lamb G L,JR 1971 Rev. Mod. Phys. 43 99
[13]	Ziolkowski R W,Arnold J M,Gongny D M 1995 Phys. Rev. A 52 3082
[14]	Hughes S 1998 Phys. Rev. Lett. 81 3363
[15]	Song X H,Gong S Q,Li R X,Xu Z Z 2006 Phys. Rev. A 74 015802
[16]	Yang W F,Song X H,Gong S Q,Xu Z Z 2007 Phys. Rev. Lett. 99 133602
[17]	Xiao J,Wang Z Y,Xu Z Z 2002 Phys. Rev. A 65 031402
[18]	Song X H,Gong S Q,Yang W F,Xu Z Z 2004 Phys. Rev. A 70 013817
[19]	Netz R,Feurer T 2001 Phys. Rev. A 64 043808
[20]	Song X,Gong S,Xu Z 2005 Opt. Spectrosc. 99 517
[21]	Loiko Y,Serrat C 2006 Phys. Rev. A 73 063809
[22]	Bowden C M,Dowling J P 1993 Phys. Rev. A 47 1247
[23]	Wang N J,Rabitz H 1995 Phys. Rev. A 51 5029
[24]	Crenshaw M E,Sullivan K U,Bowden C M 1997 Opt. Express 1 152
[25]	Calderón O G,Antón M A,Carreo F 2003 Eur. Phys. J. D 25 77
[26]	Dung H T,Buhmann S Y,Welsch D G 2006 Phys. Rev. A 74 023802
[27]	Xia K Y,Gong S Q,Liu C P,Song X H,Niu Y P 2005 Opt. Express 13 5913
[28]	Ma H,Fan X J,Tan X,Lu H W,Xu Z Z 2008 Opt. Comm. 281 4493
[29]	Tan X,Fan X J,Yang Y L,Tong D M 2008 J. Mod. Opt. 55 2439
[30]	Zhang X Z,Ren Z Z,Jia G R,Guo X T,Gong W G 2008 Chin. Phys. B 17 4476
[31]	Zhdanovich S,Shapiro E A,Shapiro M,Hepburn J W,Milner V 2008 Phys. Rev. Lett. 100 103004
[32]	Zhdanovich S,Shapiro E A,Hepburn J W,Shapiro M,Milner V 2009 Phys. Rev. A 80 063405
[33]	Carrera J J,Chu S I 2007 Phys. Rev. A 75 033807
[34]	Zhao S F,Zhou X X,Li P C,Chen Z J 2008 Phys. Rev. A 78 063404
[35]	Krausz F,Ivanov M 2009 Rev. Mod. Phys. 81 163
[36]	Xiang Y,Niu Y P,Gong S Q 2009 Phys. Rev. A 79 053419
[37]	Clow S D,Trallero-Herrero C,Bergeman T,Weinacht T 2008 Phys. Rev. Lett. 100 233603
[38]	Lee S,Lim J,Ahn J 2009 Opt. Express 17 7648
[39]	Shen J L,Zhang C L,Hu Y,Jamison S P 2004 Acta Phys. Sin. 53 2212 (in Chinese) [沈京玲、张存林、胡颖、Jamison S P 2004 53 2212]
[40]	Klaus M,Shaw J K 2001 Opt. Commun. 197 491
[41]	Desaix M,Helczynski L,Anderson D,Lisak M 2002 Phys. Rev. E 65 056602
[42]	Song X H,Gong S Q,Yang W F,Jin S Q,Feng X L,Xu Z Z 2004 Opt. Comm. 236 151
[43]	Centini M,Bloemer M,Myneni K,Scalora M,Sibilia C,Bertolotti M,Aguanno G D 2003 Phys. Rev. E 68 016602
[44]	Yang Z J,Hu W,Fu X Q,Lu D Q,Zheng Y Z 2003 Acta Phys. Sin. 52 1920 (in Chinese) [杨振军、胡巍、傅喜泉、陆大全、郑一周 2003 52 1920]
[45]	Song L J,Wu L,Zhang Y F,Yang R C 2009 Acta Phys. Sin. 58 2816 (in Chinese)[宋丽军、吴亮、张艳峰、杨荣草 2009 58 2816]
[46]	Jackson J D 2001 Classical Electrodynamics 3rd Ed. (New York: Wiley) p160
[47]	Yee K S 1996 IEEE T. Antenn. Propag. 14 302
[48]	Tarasishin A V,Magnitskii S A,Shuaev V A,Zheltikov A 2001 Opt. Express 8 452

施引文献

[1]	Brabec T,Krausz F 2000 Rev. Mod. Phys. 72 545
[2]	Yang W F,Song X H,Gong S Q,Cheng Y,Xu Z Z 2007 Phys. Rev. Lett. 99 133602
[3]	Winterfeldt C,Spielmann C,Gerber G 2008 Rev. Mod. Phys. 80 117
[4]	Quan W,Lin Z,Wu M,Kang H,Liu H,Liu X,Chen J,Liu J,He X T,Chen S G, Xiong H,Guo L,Xu H,Fu Y,Cheng Y,Xu Z Z 2009 Phys. Rev. Lett. 103 093001
[5]	Hu Q L,Liu S B,Li W 2008 Chin. Phys. B 17 1050
[6]	He M Q,Dong Q L,Sheng Z M,Wong S M,Chen M,Wu H C,Zhang J 2009 Acta Phys. Sin. 58 363 (in Chinese) [何民卿、董全力、盛政明、翁苏明、陈民、武慧春、张杰 2009 58 363]
[7]	Peng Y J,Liu Y Q,Wang Y H,Zhang S P,Yang Y Q 2009 Acta Phys. Sin. 58 655 (in Chinese) [彭亚晶、刘玉强、王英惠、张淑平、杨延强 2009 58 655]
[8]	Zhao Z G,Pan L Z,Lü B D 2008 Chin. Phys. B 17 2451
[9]	Lu D Q,Hu W,Qian L J,Fan D Y 2009 Acta Phys. Sin. 58 1655 (in Chinese) [陆大全、胡巍、钱列加、范滇元 2009 58 1655]
[10]	Sun Y P,Liu J C,Wang C K 2009 Acta Phys. Sin. 58 3934 (in Chinese) [孙玉萍、刘纪彩、王传奎 2009 58 3934]
[11]	McCall S L,Hahn E L 1969 Phys. Rev. 183 457
[12]	Lamb G L,JR 1971 Rev. Mod. Phys. 43 99
[13]	Ziolkowski R W,Arnold J M,Gongny D M 1995 Phys. Rev. A 52 3082
[14]	Hughes S 1998 Phys. Rev. Lett. 81 3363
[15]	Song X H,Gong S Q,Li R X,Xu Z Z 2006 Phys. Rev. A 74 015802
[16]	Yang W F,Song X H,Gong S Q,Xu Z Z 2007 Phys. Rev. Lett. 99 133602
[17]	Xiao J,Wang Z Y,Xu Z Z 2002 Phys. Rev. A 65 031402
[18]	Song X H,Gong S Q,Yang W F,Xu Z Z 2004 Phys. Rev. A 70 013817
[19]	Netz R,Feurer T 2001 Phys. Rev. A 64 043808
[20]	Song X,Gong S,Xu Z 2005 Opt. Spectrosc. 99 517
[21]	Loiko Y,Serrat C 2006 Phys. Rev. A 73 063809
[22]	Bowden C M,Dowling J P 1993 Phys. Rev. A 47 1247
[23]	Wang N J,Rabitz H 1995 Phys. Rev. A 51 5029
[24]	Crenshaw M E,Sullivan K U,Bowden C M 1997 Opt. Express 1 152
[25]	Calderón O G,Antón M A,Carreo F 2003 Eur. Phys. J. D 25 77
[26]	Dung H T,Buhmann S Y,Welsch D G 2006 Phys. Rev. A 74 023802
[27]	Xia K Y,Gong S Q,Liu C P,Song X H,Niu Y P 2005 Opt. Express 13 5913
[28]	Ma H,Fan X J,Tan X,Lu H W,Xu Z Z 2008 Opt. Comm. 281 4493
[29]	Tan X,Fan X J,Yang Y L,Tong D M 2008 J. Mod. Opt. 55 2439
[30]	Zhang X Z,Ren Z Z,Jia G R,Guo X T,Gong W G 2008 Chin. Phys. B 17 4476
[31]	Zhdanovich S,Shapiro E A,Shapiro M,Hepburn J W,Milner V 2008 Phys. Rev. Lett. 100 103004
[32]	Zhdanovich S,Shapiro E A,Hepburn J W,Shapiro M,Milner V 2009 Phys. Rev. A 80 063405
[33]	Carrera J J,Chu S I 2007 Phys. Rev. A 75 033807
[34]	Zhao S F,Zhou X X,Li P C,Chen Z J 2008 Phys. Rev. A 78 063404
[35]	Krausz F,Ivanov M 2009 Rev. Mod. Phys. 81 163
[36]	Xiang Y,Niu Y P,Gong S Q 2009 Phys. Rev. A 79 053419
[37]	Clow S D,Trallero-Herrero C,Bergeman T,Weinacht T 2008 Phys. Rev. Lett. 100 233603
[38]	Lee S,Lim J,Ahn J 2009 Opt. Express 17 7648
[39]	Shen J L,Zhang C L,Hu Y,Jamison S P 2004 Acta Phys. Sin. 53 2212 (in Chinese) [沈京玲、张存林、胡颖、Jamison S P 2004 53 2212]
[40]	Klaus M,Shaw J K 2001 Opt. Commun. 197 491
[41]	Desaix M,Helczynski L,Anderson D,Lisak M 2002 Phys. Rev. E 65 056602
[42]	Song X H,Gong S Q,Yang W F,Jin S Q,Feng X L,Xu Z Z 2004 Opt. Comm. 236 151
[43]	Centini M,Bloemer M,Myneni K,Scalora M,Sibilia C,Bertolotti M,Aguanno G D 2003 Phys. Rev. E 68 016602
[44]	Yang Z J,Hu W,Fu X Q,Lu D Q,Zheng Y Z 2003 Acta Phys. Sin. 52 1920 (in Chinese) [杨振军、胡巍、傅喜泉、陆大全、郑一周 2003 52 1920]
[45]	Song L J,Wu L,Zhang Y F,Yang R C 2009 Acta Phys. Sin. 58 2816 (in Chinese)[宋丽军、吴亮、张艳峰、杨荣草 2009 58 2816]
[46]	Jackson J D 2001 Classical Electrodynamics 3rd Ed. (New York: Wiley) p160
[47]	Yee K S 1996 IEEE T. Antenn. Propag. 14 302
[48]	Tarasishin A V,Magnitskii S A,Shuaev V A,Zheltikov A 2001 Opt. Express 8 452

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