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In the paper, we extended the propagation equation of the large chirped pulse based on the nonlinear Schrodinger equation, and then analyzed the spatiotemporal instability of chirped pulsed-beam by using the perturbation theory. The influence of the spatiotemporal noise and the effect of chirp on the perturbation modulation of noise of the broadband pulsed-laser with large chirp were investigated theoretically. The results showed that the chirp of pulse has no direct influence on the modulation growth of noise under the same value of γI0(the product of the nonlinear coefficient and the peak intensity). Then the spatial small-scale self-focusing of chirped pulse was measured in experiment using nonlinear medium, and the modulation growth of the temporal noise of the broadband chirped pulse were also simulated numerically, and the result was basically consistent with the analysis of perturbation theory.
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Keywords:
- spatiotemporal instability /
- broadband pulsed-laser /
- chirp
[1] Agrawal G P 2001 Nonlinear fiber optics (third ed). (San Diego: Academic) p88—90
[2] Liu X, Haus J W, Shahriar S M 2008 Opt. Commun. 281 2907
[3] Silva G L, Gleria I, Lyra M L, Sombra A S B 2009 J. Opt. Soc. Am. B 26 183
[4] Bespalov V I, Talanov V I 1966 JETP 3 307
[5] Wen S C, Fan D Y 2000 Acta Phys. Sin. 49 1282 (in Chinese) [文双春、范滇元 2000 49 1282]
[6] Wen S C, Qian L J, Fan D Y 2003 Acta Phys. Sin. 52 1640 (in Chinese) [文双春、钱列加、范滇元 2003 52 1640]
[7] Cheng W Y, Zhang X M, Su J Q, Zhao S Z, Dong J, Li P, Zhou L D 2009 Acta Phys. Sin. 58 7012 (in Chinese)[程文雍、张小民、粟敬钦、赵圣之、董 军、李 平、周丽丹2009 58 7012]
[8] Wang Y W, Deng J Q, Wen S C, Tang Z X, Fu X Q, Fan D Y 2009 Acta Phys. Sin. 58 1738 (in Chinese)[王友文、邓剑钦、文双春、唐志祥、傅喜泉、范滇元 2009 58 1738]
[9] Liou L W, Cao X D, Mckinstrie C J, Agrawal G P 1992 Phys. Rev. A 46 4202
[10] Anderson D, karlsson M, Lisak M, Sergeev A.1993 Phys. Rev. E 47 3617
[11] Akhmediev N N, Korneev V I, Nabiev R E 1992 Opt. Lett. 17 393
[12] Fonseca E J, Cavalcanti S B, Hickmanm J M 1999 Opt. Commun. 169 199
[13] Litchinitser N M, Mckinstrie C J, Sterke C M de, Agrawal G P 2001 J. Opt. Soc. Am. B 18 45
[14] Wen S C 2001 Ph. D. Dissertation (Shanghai: Institute of Optics and Fine Mechanics, Chinese Academy of Sciences) (in Chinese) [文双春2001博士学位论文(上海:中国科学院上海光学精密机械研究所)]
[15] Hu W, Wen S C, Cuo H, Fan D Y 2001 J. Phys. D 34 3267
[16] Wen S C, Fan D Y 2002 J. Opt. Soc. Am. B 19 1653
[17] Strinic A I, Jovic D M, Petrovic M S, Timotijevic D V, Aleksic N B, Belic M R 2008 Opt. Materials 30 133902
[18] Shih M F, Jeng C C, Sheu F W, Lin C Y 2002 Phys. Rev. Lett. 88 1213
[19] Chu W H, Jeng C C, Chen C H, Liu Y H, Shih M F 2005 Opt. Lett. 30 1846
[20] Cambournac C, Mailotte H, Lantz E, Dudley J M, Chauvet M 2002 J. Opt. Soc. Am. B 19
[21] Zhang L F, Fu X Q, Feng Z H, Yang H, Xu H W, Wen S C 2007 Proc. SPIE 6839
[22] Cao X D, Agrawal G P, and Mckinstrie C J 1994 Phys. Rev. A 49 4085
[23] Feng Z H, Fu X Q, Zhang L F, Xu H W, Weng S C 2008 Acta Phys. Sin. 57 2253 (in Chinese) [冯则胡、傅喜泉、章礼富、徐慧文、文双春 2008 57 2253]
[24] Silberberg Y 1990 Opt. Lett. 15 1282
[25] Ganeen R A, Ryasnyansky A I, Baba M, Suzuki M, Ishizawa N, Turu M, Sakakibara S, Kuroda H 2004 Appl. Phys. B 78 433
[26] Nuter R, Skupin S, Berge L 2005 Opt. Lett. 30 917
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[1] Agrawal G P 2001 Nonlinear fiber optics (third ed). (San Diego: Academic) p88—90
[2] Liu X, Haus J W, Shahriar S M 2008 Opt. Commun. 281 2907
[3] Silva G L, Gleria I, Lyra M L, Sombra A S B 2009 J. Opt. Soc. Am. B 26 183
[4] Bespalov V I, Talanov V I 1966 JETP 3 307
[5] Wen S C, Fan D Y 2000 Acta Phys. Sin. 49 1282 (in Chinese) [文双春、范滇元 2000 49 1282]
[6] Wen S C, Qian L J, Fan D Y 2003 Acta Phys. Sin. 52 1640 (in Chinese) [文双春、钱列加、范滇元 2003 52 1640]
[7] Cheng W Y, Zhang X M, Su J Q, Zhao S Z, Dong J, Li P, Zhou L D 2009 Acta Phys. Sin. 58 7012 (in Chinese)[程文雍、张小民、粟敬钦、赵圣之、董 军、李 平、周丽丹2009 58 7012]
[8] Wang Y W, Deng J Q, Wen S C, Tang Z X, Fu X Q, Fan D Y 2009 Acta Phys. Sin. 58 1738 (in Chinese)[王友文、邓剑钦、文双春、唐志祥、傅喜泉、范滇元 2009 58 1738]
[9] Liou L W, Cao X D, Mckinstrie C J, Agrawal G P 1992 Phys. Rev. A 46 4202
[10] Anderson D, karlsson M, Lisak M, Sergeev A.1993 Phys. Rev. E 47 3617
[11] Akhmediev N N, Korneev V I, Nabiev R E 1992 Opt. Lett. 17 393
[12] Fonseca E J, Cavalcanti S B, Hickmanm J M 1999 Opt. Commun. 169 199
[13] Litchinitser N M, Mckinstrie C J, Sterke C M de, Agrawal G P 2001 J. Opt. Soc. Am. B 18 45
[14] Wen S C 2001 Ph. D. Dissertation (Shanghai: Institute of Optics and Fine Mechanics, Chinese Academy of Sciences) (in Chinese) [文双春2001博士学位论文(上海:中国科学院上海光学精密机械研究所)]
[15] Hu W, Wen S C, Cuo H, Fan D Y 2001 J. Phys. D 34 3267
[16] Wen S C, Fan D Y 2002 J. Opt. Soc. Am. B 19 1653
[17] Strinic A I, Jovic D M, Petrovic M S, Timotijevic D V, Aleksic N B, Belic M R 2008 Opt. Materials 30 133902
[18] Shih M F, Jeng C C, Sheu F W, Lin C Y 2002 Phys. Rev. Lett. 88 1213
[19] Chu W H, Jeng C C, Chen C H, Liu Y H, Shih M F 2005 Opt. Lett. 30 1846
[20] Cambournac C, Mailotte H, Lantz E, Dudley J M, Chauvet M 2002 J. Opt. Soc. Am. B 19
[21] Zhang L F, Fu X Q, Feng Z H, Yang H, Xu H W, Wen S C 2007 Proc. SPIE 6839
[22] Cao X D, Agrawal G P, and Mckinstrie C J 1994 Phys. Rev. A 49 4085
[23] Feng Z H, Fu X Q, Zhang L F, Xu H W, Weng S C 2008 Acta Phys. Sin. 57 2253 (in Chinese) [冯则胡、傅喜泉、章礼富、徐慧文、文双春 2008 57 2253]
[24] Silberberg Y 1990 Opt. Lett. 15 1282
[25] Ganeen R A, Ryasnyansky A I, Baba M, Suzuki M, Ishizawa N, Turu M, Sakakibara S, Kuroda H 2004 Appl. Phys. B 78 433
[26] Nuter R, Skupin S, Berge L 2005 Opt. Lett. 30 917
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