A Formula of Propagating Beams Driven by Few-Cycle Gaussian Pulse in Dispersive Media
LU Da-Quan1,2, HU Wei1, QIAN Lie-Jia2, FAN Dian-Yuan2
1Laboratory of Photonic Information Technology, South China Normal University, Guangzhou 5106312State Key Laboratory for Advanced Photonic Materials and Devices, Department of Optical Science and Engineering, Fudan University, Shanghai 200433
A Formula of Propagating Beams Driven by Few-Cycle Gaussian Pulse in Dispersive Media
LU Da-Quan1,2, HU Wei1, QIAN Lie-Jia2, FAN Dian-Yuan2
1Laboratory of Photonic Information Technology, South China Normal University, Guangzhou 5106312State Key Laboratory for Advanced Photonic Materials and Devices, Department of Optical Science and Engineering, Fudan University, Shanghai 200433
摘要A formula is developed to describe the propagation of beams driven by few-cycle Gaussian pulse in a media with group velocity dispersion (GVD). With the method, the spatiotemporal evolution of the pulsed beam can be straightforwardly quantified as long as the monochromatic beam solutions in free space, which have been widely investigated in previous works, are known. The method makes it possible to analytically deal with the few-cycle pulsed beams with transverse profiles other than the Gaussian one, which is, to our knowledge, the one mainly investigated previously, in GVD media.
Abstract:A formula is developed to describe the propagation of beams driven by few-cycle Gaussian pulse in a media with group velocity dispersion (GVD). With the method, the spatiotemporal evolution of the pulsed beam can be straightforwardly quantified as long as the monochromatic beam solutions in free space, which have been widely investigated in previous works, are known. The method makes it possible to analytically deal with the few-cycle pulsed beams with transverse profiles other than the Gaussian one, which is, to our knowledge, the one mainly investigated previously, in GVD media.
LU Da-Quan;HU Wei;QIAN Lie-Jia;FAN Dian-Yuan. A Formula of Propagating Beams Driven by Few-Cycle Gaussian Pulse in Dispersive Media[J]. 中国物理快报, 2008, 25(7): 2464-2466.
LU Da-Quan, HU Wei, QIAN Lie-Jia, FAN Dian-Yuan. A Formula of Propagating Beams Driven by Few-Cycle Gaussian Pulse in Dispersive Media. Chin. Phys. Lett., 2008, 25(7): 2464-2466.
[1] Stingl A, Spielmann C, Krausz F and Szip\"os R 1994 Opt. Lett. 19 204 [2] Auston D H, Cheung K P, Valdmanis J A and Kleinman D A 1984 Phys. Rev. Lett. 53 1555 [3] Kaplan A E and Shkolnikov P L 1995 Phys. Rev. Lett. 752316 [4] Belenov E M and Nazarkin A V 1994 J. Opt. Soc. Am. A 11 168 [5] Liu Z J and Lu B D 2002 Opt. Commun. 206 13 [6] Ziolkowski R W and Judkins J B 1992 J. Opt. Soc. Am. A 9 2021 [7] Wang Z, Zhang Z, Xu Z and Lin Q 1997 IEEE J. QuantumElectron. 33 566 [8] Agrawal G P 1999 Opt. Commun. 167 15 [9] Porras M A 1998 Phys. Rev. E 58 1086 [10] Porras M A 2001 Opt. Lett. 157 52 [11] Porras M A 1999 Phys. Rev. A 60 5069 [12] Hu W and Guo H 2002 J. Opt. Soc. Am. B 19 49 [13] Lin Q and Winter E 1998 Opt. Commun. 150 185 [14] Porras M A 2004 Phys. Rev. E 69 066606 [15] Fu X Q 2003 Phys. Rev. A 68 063818 [16] Brabec T and Krausz F 1997 Phys. Rev. Lett. 78 3282