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In this paper, we theoretically and experimentally investigate the controllable nonlinear focusing of the weak laser beam on the basis of the induced nonlinear effects by another strong pump laser beam. When couple laser beams co-propagate in the Kerr medium, it is possible to change the refractive index by the pump beam, and the locally changing medium in turn modifies the weaker probe beam. Depending on cross-phase modulation theory, we obtain an exact analytical solution to the model under the approximate condition and qualitatively verify it in experiment. The results show that the weaker probe beam can be induced to focus at any position due to induced nonlinear effects from the stronger pump beam under certain conditions.
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Keywords:
- induced focusing /
- self-focusing /
- nonlinear refractive index
[1] Chiao R Y, Garmire E, Townes C H 1964 Phys. Rev. Lett. 13 479
[2] Shim B, Schrauth S E, Gaeta A L 2011 Opt. Express 19 9118
[3] Wang C H, Zhang L F, Fu X Q, Wen S C 2010 Acta Phys. Sin. 59 6224 (in Chinese) [王灿华, 章礼富, 傅喜泉, 文双春 2010 59 6224]
[4] Luo Q, Xu H L, Hosseini S A, Daigle J F, Theberge F, Sharifi M, Chin S L 2006 Appl. Phys. B 82 105
[5] Houard A, Amico C D', Liu Y, Andre Y B, Franco M, Prade B, Mysyrowicz A, Salmon E, Pierlot P, Cleon L M 2007 Appl. Phys. Lett. 90 171501
[6] Amico C D', Houard A, Franco M, Prade B, Mysyrowicz A, Couairon A, Tikhonchuk V T 2007 Phys. Rev. Lett. 98 235002
[7] Liu H, Fu X Q, Hou Y C, Deng J Q 2010 Proc. of SPIE 7843 78430N
[8] Rubenchik A M, Fedoruk M P, Turitsyn S K 2009 Phys. Rev. Lett. 102 233902
[9] Stegeman G I Segev M 1999 Science 286 1518
[10] Manassah J T 1990 Opt. Lett. 15 670
[11] Li B, Lou S Q, Tan Z W, Su W 2012 Acta Phys. Sin. 61 194203 (in Chinese) [李博, 娄淑琴, 谭中伟, 苏伟 2012 61 194203]
[12] Jiang X J, Li H G, Guo Q, Hu W 2005 Acta Phys. Sin. 53 3771 (in Chinese) [江秀娟, 李华刚, 郭旗, 胡巍 2005 53 3771]
[13] Tian Y, Lui C Y, Guo Q 2002 Acta Phys. Sin. 51 1057 (in Chinese) [田野, 刘承宜, 郭旗 2002 51 1057]
[14] Hu W, Li H G, Guo Q 2004 Acta Phys. Sin. 53 3771 (in Chinese) [胡巍, 李华刚, 郭旗2004 53 3771]
[15] Shim B, Schrauth S E, Hensley C J, Vuong L T, Hui P, Ishaaya A A, Gaeta A L 2010 Phys. Rev. A 81 061803
[16] Shi L P, Li W X, Wang Y D, Lu X, Ding L, Zeng H P 2011 Phys. Rev. Lett. 107 095004
[17] Zhou J, Ren H D, Feng Y P 2010 Acta Phys. Sin. 59 3992 (in Chinese) [周俊, 任海东, 冯亚萍 2010 59 3992]
[18] Liao Q H, Zhang X, Xia Q, Yu T B, Chen S W, Liu N H 2013 Acta Phys. Sin. 62 044220 (in Chinese) [廖清华, 张旋, 夏全, 于天宝, 陈淑文, 刘念华 2013 62 044220]
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[1] Chiao R Y, Garmire E, Townes C H 1964 Phys. Rev. Lett. 13 479
[2] Shim B, Schrauth S E, Gaeta A L 2011 Opt. Express 19 9118
[3] Wang C H, Zhang L F, Fu X Q, Wen S C 2010 Acta Phys. Sin. 59 6224 (in Chinese) [王灿华, 章礼富, 傅喜泉, 文双春 2010 59 6224]
[4] Luo Q, Xu H L, Hosseini S A, Daigle J F, Theberge F, Sharifi M, Chin S L 2006 Appl. Phys. B 82 105
[5] Houard A, Amico C D', Liu Y, Andre Y B, Franco M, Prade B, Mysyrowicz A, Salmon E, Pierlot P, Cleon L M 2007 Appl. Phys. Lett. 90 171501
[6] Amico C D', Houard A, Franco M, Prade B, Mysyrowicz A, Couairon A, Tikhonchuk V T 2007 Phys. Rev. Lett. 98 235002
[7] Liu H, Fu X Q, Hou Y C, Deng J Q 2010 Proc. of SPIE 7843 78430N
[8] Rubenchik A M, Fedoruk M P, Turitsyn S K 2009 Phys. Rev. Lett. 102 233902
[9] Stegeman G I Segev M 1999 Science 286 1518
[10] Manassah J T 1990 Opt. Lett. 15 670
[11] Li B, Lou S Q, Tan Z W, Su W 2012 Acta Phys. Sin. 61 194203 (in Chinese) [李博, 娄淑琴, 谭中伟, 苏伟 2012 61 194203]
[12] Jiang X J, Li H G, Guo Q, Hu W 2005 Acta Phys. Sin. 53 3771 (in Chinese) [江秀娟, 李华刚, 郭旗, 胡巍 2005 53 3771]
[13] Tian Y, Lui C Y, Guo Q 2002 Acta Phys. Sin. 51 1057 (in Chinese) [田野, 刘承宜, 郭旗 2002 51 1057]
[14] Hu W, Li H G, Guo Q 2004 Acta Phys. Sin. 53 3771 (in Chinese) [胡巍, 李华刚, 郭旗2004 53 3771]
[15] Shim B, Schrauth S E, Hensley C J, Vuong L T, Hui P, Ishaaya A A, Gaeta A L 2010 Phys. Rev. A 81 061803
[16] Shi L P, Li W X, Wang Y D, Lu X, Ding L, Zeng H P 2011 Phys. Rev. Lett. 107 095004
[17] Zhou J, Ren H D, Feng Y P 2010 Acta Phys. Sin. 59 3992 (in Chinese) [周俊, 任海东, 冯亚萍 2010 59 3992]
[18] Liao Q H, Zhang X, Xia Q, Yu T B, Chen S W, Liu N H 2013 Acta Phys. Sin. 62 044220 (in Chinese) [廖清华, 张旋, 夏全, 于天宝, 陈淑文, 刘念华 2013 62 044220]
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