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利用电磁诱导透明效应提供的高色散和非线性系数, 研究暗孤子的形成环境以及孤子演化与环境参数的关系. 为了提高电磁诱导透明的稳定性和可操作性, 用双势阱半导体作为基质材料. 将量子理论和经典场理论结合, 获得了非线性薛定谔方程. 以非线性薛定谔方程为基础, 研究暗孤子的形成条件, 以及孤子演化与环境参数的关系. 研究结果表明: 当介质为反常色散同时交叉相位调制为负时, 在该介质中可以形成和传播暗孤子; 暗孤子演化中, 脉宽、灰度与相位相互关联, 脉宽越小、灰度越大, 相位增长越迅速. 此外, 研究了系统的调制不稳定性, 探讨了在调制不稳定下的增益谱.The formation environment and the evolution of dark soliton with environment parameters are investigated by using the electromagnetically induced transparency effect produced high dispersion and nonlinearity. To improve the stability and operability, a dual-well semiconductor is used. Combining the quantum theory and the classical field theory, we derive the nonlinear Schrodinger equation to describe the formations and evolutions of wave and soliton. It is demonstrated that the dark soliton can form and propagate in the medium when the medium is anomalously dispersive and cross phase modulation is negative simultaneously, and that in the evolution of the soliton, the width, gray scale and phase are related to each other, the smaller the pulse duration, the bigger the gray scale is and the faster the growth is. In addition, the modulation instability of the nonlinear system is analyzed, and the gain spectrum of the nonlinear system is also discussed.
[1] Harris S E 1997 Phys. Today 50 36
[2] Fleischhauer M, Imamoglu A, Marangos J P 2009 Rev. Mod. Phys. 77 633
[3] Reed M A, Randall J N, Aggarwal R J, Matyi R J, Moore T M, Wetsel A E 1988 Phys Rev Lett. 60 535
[4] Serapiglia G B, Paspalakis E, Sirtori C, Vodopyanov K L 2000 Phys. Rev. Lett. 84 1019
[5] Hao X Y 2010 Ph. D. Dissertation (Wuhan: Huazhong University of Science and Technology) (in Chinese) [郝向英 2010 博士学位论文(武汉: 华中科技大学)]
[6] Hasegawa A, Tappert F 1973 Appl. Phys. Lett. 23 142
[7] Hill K O, Fujii Y, Johnson D C, Kawasaki B S 1978 Appl. Phys. Lett. 32 647
[8] Wang H C, Ling D X, Zhang S Q, Zhu X, He Y J 2014 Chin. Phys. B 23 064208
[9] Law C T, Swartzlander G A 1994 Chaos, Soliton. Fract. 4 1759
[10] Wang J D, Ji H, Liu P S 2013 Chin. Phys. B 22 044207
[11] Buryak A V, Trapani P D, Skryabin D V, Trillo S 2002 Phys. Rep. 370 63
[12] Kivshar Yu S 1993 Opt. Lett. 18 1147
[13] Aceves A B, Angelies de C, Peschel T, Muschall R, Lederer F, Trillo S, Wabnitz S 1996 Phys. Rev. E 53 1172
[14] Eisenberg H S, Silbergerg Y, Morandotti R, Boyd A R, Aitchison S 1998 Phys. Rev. Lett. 81 3383
[15] Pertsch T, Zentgraf T, Peschel U, Brauer A, Lederer F 2002 Phys. Rev. Lett. 88 93901
[16] Litvak A G, Talanov V I 1967 Radiophys. Quantum Electron 10 296
[17] Newton P K, Keller J B 1987 SIAM J. Appl. Math. 47 959
[18] Akhmediev N N, Korneev V I, Nabiev R F 1992 Opt. Lett. 17 393
[19] Shih M F, Jeng C, Sheu F W, Lin C Y 2002 Phys. Rev. Lett. 88 133902
[20] Gao X H, Zhang C Y, Tang D, Zheng H, Lu D Q, Hu W 2013 Acta Phys. Sin. 62 044214 (in Chinese) [高星辉, 张承云, 唐冬, 郑晖, 陆大全, 胡巍 2013 62 044214]
[21] Yu Y C, Wang D L, Ding J W 2009 Acta Phys. Sin. 58 3098 (in Chinese) [余彦超, 王登龙, 丁建文 2009 58 3098]
[22] Weiner A M, Heritage J P, Hawkins R J, Thurston R N, Kirschner E M, Learid D E, Tomlinson W J 1988 Phys. Rev. Lett. 61 2445
[23] Du Y J, Yang Z Y, Bai J T 2014 Acta Opt. Sin. 34 0627001 (in Chinese) [杜英杰, 杨战营, 白晋涛 2014 光学学报 34 0627001]
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[1] Harris S E 1997 Phys. Today 50 36
[2] Fleischhauer M, Imamoglu A, Marangos J P 2009 Rev. Mod. Phys. 77 633
[3] Reed M A, Randall J N, Aggarwal R J, Matyi R J, Moore T M, Wetsel A E 1988 Phys Rev Lett. 60 535
[4] Serapiglia G B, Paspalakis E, Sirtori C, Vodopyanov K L 2000 Phys. Rev. Lett. 84 1019
[5] Hao X Y 2010 Ph. D. Dissertation (Wuhan: Huazhong University of Science and Technology) (in Chinese) [郝向英 2010 博士学位论文(武汉: 华中科技大学)]
[6] Hasegawa A, Tappert F 1973 Appl. Phys. Lett. 23 142
[7] Hill K O, Fujii Y, Johnson D C, Kawasaki B S 1978 Appl. Phys. Lett. 32 647
[8] Wang H C, Ling D X, Zhang S Q, Zhu X, He Y J 2014 Chin. Phys. B 23 064208
[9] Law C T, Swartzlander G A 1994 Chaos, Soliton. Fract. 4 1759
[10] Wang J D, Ji H, Liu P S 2013 Chin. Phys. B 22 044207
[11] Buryak A V, Trapani P D, Skryabin D V, Trillo S 2002 Phys. Rep. 370 63
[12] Kivshar Yu S 1993 Opt. Lett. 18 1147
[13] Aceves A B, Angelies de C, Peschel T, Muschall R, Lederer F, Trillo S, Wabnitz S 1996 Phys. Rev. E 53 1172
[14] Eisenberg H S, Silbergerg Y, Morandotti R, Boyd A R, Aitchison S 1998 Phys. Rev. Lett. 81 3383
[15] Pertsch T, Zentgraf T, Peschel U, Brauer A, Lederer F 2002 Phys. Rev. Lett. 88 93901
[16] Litvak A G, Talanov V I 1967 Radiophys. Quantum Electron 10 296
[17] Newton P K, Keller J B 1987 SIAM J. Appl. Math. 47 959
[18] Akhmediev N N, Korneev V I, Nabiev R F 1992 Opt. Lett. 17 393
[19] Shih M F, Jeng C, Sheu F W, Lin C Y 2002 Phys. Rev. Lett. 88 133902
[20] Gao X H, Zhang C Y, Tang D, Zheng H, Lu D Q, Hu W 2013 Acta Phys. Sin. 62 044214 (in Chinese) [高星辉, 张承云, 唐冬, 郑晖, 陆大全, 胡巍 2013 62 044214]
[21] Yu Y C, Wang D L, Ding J W 2009 Acta Phys. Sin. 58 3098 (in Chinese) [余彦超, 王登龙, 丁建文 2009 58 3098]
[22] Weiner A M, Heritage J P, Hawkins R J, Thurston R N, Kirschner E M, Learid D E, Tomlinson W J 1988 Phys. Rev. Lett. 61 2445
[23] Du Y J, Yang Z Y, Bai J T 2014 Acta Opt. Sin. 34 0627001 (in Chinese) [杜英杰, 杨战营, 白晋涛 2014 光学学报 34 0627001]
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