Propagation of femtosecond chirped Gaussian pulse in dense three-level Λ-type atomic medium

Wang Zhen-Dong; Liang Bian; Liu Zhong-Bo; Fan Xi-Jun

doi:10.7498/aps.59.7041

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:

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

References

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[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 物理学报 58 2816]
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Cited By

[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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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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Vol. 59, Issue 10 - 2010-05-20

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