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In this paper, a chaotic synchronization system model of a chain mutually coupled semiconductor lasers is established by adding a relay laser between the mutually coupled semiconductor lasers with cavity. The isochronal chaos synchronization condition is theoretically analysed. The influences of injection current, mutual coupling strength and feedback strength on isochronal chaos synchronization are numerically studied. The distributions of synchronous quality in the two-dimensional parameter space for mutual coupling strength and feedback strength are revealed. We show that when the injection current is big enough and the mutual coupling conditions and feedback conditions are completely the same, the stable isochronal chaos synchronization with high quality can be obtained among all the lasers. Stable isochronal chaos synchronization between central laser and side laser is distributed in the area when both mutual coupling strength and feedback strength are small or similar. Two side lasers can easily achieve the stable isochronal chaos synchronization with high quality, because they receive the same injection from central laser at the same time. The system model can be further expanded into the realizing of remote two-way isochronal chaos synchronization or the isochronal chaos synchronization of the arrayed semiconductor laser system.
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Keywords:
- semiconductor laser /
- isochronal chaos synchronization /
- a chain mutually coupled /
- coupling strength
[1] Pecora L M, Carroll T L 1990 Phys.Rev.Lett. 64 821
[2] Ning J, Wei P, Lianshan Y, Bin L, Shuiying X, Lei Y, Di Z, Nianqiang L 2011 J. Opt. Soc. Am. B 28 1139
[3] Ding L, Wu Z M, Wu J G, Xia G Q 2012 Acta Phys. Sin. 61 014212 (in Chinese) [丁灵, 吴正茂, 吴加贵, 夏光琼 2012 61 014212]
[4] Wang Y C, Li Y L, Wang A B, Wang B J, Zhang G W, Guo P 2007 Acta Phys. Sin. 56 4686 (in Chinese) [王云才, 李艳丽, 王安邦, 王冰洁, 张耕玮, 郭萍 2007 56 4686]
[5] Li X F, Pan W, Ma D, Luo B, Zhang W L, Xiong Y 2006 Acta Phys. Sin. 55 5094 (in Chinese) [李孝峰, 潘炜, 马冬, 罗斌, 张伟利, 熊悦 2006 55 5094]
[6] Liu Y R, Wu Z M, Wu J G, Li P, Xia G Q 2012 Acta Phys. Sin. 61 024203 (in Chinese) [刘宇然, 吴正茂, 吴加贵, 李萍, 夏光琼 2012 61 024203]
[7] He Y, Deng T, Wu Z M, Liu Y Y, Xia G Q 2011 Acta Phys. Sin. 60 044204 (in Chinese) [何元, 邓涛, 吴正茂, 刘元元, 夏光琼 2011 60 044204]
[8] Kanter I, Kopelowitz E, Kinzel W 2008 Phys. Rev. Lett. 101 084102
[9] Klein E, Gross N, Kopelowitz E 2006 Phys. Rev. E 74 046201
[10] Klein E, Gross N, Rosenbluh M 2006 Phys. Rev. 73 066214
[11] Ning J, Wei P, Bin L, Lianshan Y, Shuiying X, Lei Y, Di Z, Nianqiang L 2010 Phys. Rev. E 81 066217
[12] Englert A, Kinzel W, Aviad Y, Butkovski M, Reidler I, Zigzag M, Kanter I, Rosenbluh M 2010 Phys. Rev. Lett. 104 114102
[13] L L, Li G, Meng L, Yang M, Guo L, Zou J R, Li C Q, Chai Y 2010 Chinese J. Lasers 37 2533 (in Chinese) [吕翎, 李钢, 孟乐, 杨明, 郭丽, 邹家蕊, 李春清, 柴元 2010 中国激光 37 2533]
[14] Yan S L, Wang S Q 2006 Acta Phys. Sin. 55 1687 (in Chinese) [颜森林, 汪胜前 2006 55 1687]
[15] Lee M W, Paul J, Masoller C, Shore K A 2006 J. Opt. Soc. Am. B 23 846
[16] Vicente R, Fischer I, Mirasso C R 2008 Phys. Rev. E 78 066202
[17] Lang R, Kobayashi K 1980 IEEE J. Quantum Electron. 16 347
[18] Chiang M C, Chen H F, Liu J M 2006 Opt. Commun. 261 86
[19] Ning J, Wei P, Bin L, Lianshan Y, Shuiying X, Lei Y, Di Z, Nianqiang L 2011 Opt. Lett. 36 3197
[20] Vicente R, Dauden J, Colet P 2005 IEEE J. Quantum Electron. 41 541
[21] Heill T, Fischer I, Elsasser W 2001 Phys. Rev. Lett. 86 795
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[1] Pecora L M, Carroll T L 1990 Phys.Rev.Lett. 64 821
[2] Ning J, Wei P, Lianshan Y, Bin L, Shuiying X, Lei Y, Di Z, Nianqiang L 2011 J. Opt. Soc. Am. B 28 1139
[3] Ding L, Wu Z M, Wu J G, Xia G Q 2012 Acta Phys. Sin. 61 014212 (in Chinese) [丁灵, 吴正茂, 吴加贵, 夏光琼 2012 61 014212]
[4] Wang Y C, Li Y L, Wang A B, Wang B J, Zhang G W, Guo P 2007 Acta Phys. Sin. 56 4686 (in Chinese) [王云才, 李艳丽, 王安邦, 王冰洁, 张耕玮, 郭萍 2007 56 4686]
[5] Li X F, Pan W, Ma D, Luo B, Zhang W L, Xiong Y 2006 Acta Phys. Sin. 55 5094 (in Chinese) [李孝峰, 潘炜, 马冬, 罗斌, 张伟利, 熊悦 2006 55 5094]
[6] Liu Y R, Wu Z M, Wu J G, Li P, Xia G Q 2012 Acta Phys. Sin. 61 024203 (in Chinese) [刘宇然, 吴正茂, 吴加贵, 李萍, 夏光琼 2012 61 024203]
[7] He Y, Deng T, Wu Z M, Liu Y Y, Xia G Q 2011 Acta Phys. Sin. 60 044204 (in Chinese) [何元, 邓涛, 吴正茂, 刘元元, 夏光琼 2011 60 044204]
[8] Kanter I, Kopelowitz E, Kinzel W 2008 Phys. Rev. Lett. 101 084102
[9] Klein E, Gross N, Kopelowitz E 2006 Phys. Rev. E 74 046201
[10] Klein E, Gross N, Rosenbluh M 2006 Phys. Rev. 73 066214
[11] Ning J, Wei P, Bin L, Lianshan Y, Shuiying X, Lei Y, Di Z, Nianqiang L 2010 Phys. Rev. E 81 066217
[12] Englert A, Kinzel W, Aviad Y, Butkovski M, Reidler I, Zigzag M, Kanter I, Rosenbluh M 2010 Phys. Rev. Lett. 104 114102
[13] L L, Li G, Meng L, Yang M, Guo L, Zou J R, Li C Q, Chai Y 2010 Chinese J. Lasers 37 2533 (in Chinese) [吕翎, 李钢, 孟乐, 杨明, 郭丽, 邹家蕊, 李春清, 柴元 2010 中国激光 37 2533]
[14] Yan S L, Wang S Q 2006 Acta Phys. Sin. 55 1687 (in Chinese) [颜森林, 汪胜前 2006 55 1687]
[15] Lee M W, Paul J, Masoller C, Shore K A 2006 J. Opt. Soc. Am. B 23 846
[16] Vicente R, Fischer I, Mirasso C R 2008 Phys. Rev. E 78 066202
[17] Lang R, Kobayashi K 1980 IEEE J. Quantum Electron. 16 347
[18] Chiang M C, Chen H F, Liu J M 2006 Opt. Commun. 261 86
[19] Ning J, Wei P, Bin L, Lianshan Y, Shuiying X, Lei Y, Di Z, Nianqiang L 2011 Opt. Lett. 36 3197
[20] Vicente R, Dauden J, Colet P 2005 IEEE J. Quantum Electron. 41 541
[21] Heill T, Fischer I, Elsasser W 2001 Phys. Rev. Lett. 86 795
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