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We present a novel system of oscillation frequency enhancement and control of chaos in two spatial coupled semiconductor lasers due to external light injection. We study the characteristics of frequency enhancement and control of chaos in the system and give a static frequency detuning formula. We find three regimes of chaotic enhancement when external light is injected into single laser, in which, strong light injection can result effectively in frequency enhancement in the injected laser, but the frequency weakens slowly in the other. And large detuning can result effectively in frequency enhancements in both lasers while the frequency can be enlarged 3.5 times more than the intrinsic frequency of the laser 1. Chaos-control region is found in low injection levels. In this region, lasers can be controlled to single -cycle, dual-cycle, cycle-4, cycle-6 and other quasi-cycles. When the dual-injection is present, strong light injection or large detuning can result effectively in frequency enhancements in both lasers while the frequency can be enlarged 3.5 or 2.65 times more than the intrinsic frequency of the laser 1 or 2. Chaos-control region is also found in large injection levels. In this region, both lasers can be controlled to single-cycle, cycle-3, cycle-6 and other quasi-cycles. We point out in detail a path from single-cycle to quasi-cycle to frequency enhancement of chaos when the single-injection is present. We find another reverse path from chaos to quasi-cycle to single-cycle when the dual-injection is present.
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Keywords:
- chaos /
- control /
- frequency enhancement /
- spatial coupled semiconductor lasers
[1] Roy R, Thornburg K S 1994 Phys. Rev. Lett. 72 2009
[2] van Wiggeren G D, Roy R 1998 Science 279 1198
[3] Wu L, Zhu S Q 2003 Phys. Lett. A 308 157
[4] Ramos R V, Souza R F 2001 Opt. Cummun. 22 90
[5] Zhang F, Chu P L 2003 J. Lightwave Technol. 21 3334
[6] Zhou Y, Wu L, Zhu S Q 2005 Chin. Phys. 14 2196
[7] 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]
[8] Yan S L 2007 Chin. Phys. 16 3271
[9] Yang L, Pan W, Luo B, Zhang W L, Jiang N, Zhou Z, Yang G B 2008 Chin. J. Lasers 35 992 (in Chinese) [杨磊, 潘炜, 罗斌, 张伟利, 江宁, 周志, 杨国标 2008 中国激光 35 992]
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[11] Wu J G, Wu Z M, Lin X D, Zhang Y, Zhong D Z, Xia G Q 2005 Acta Phys. Sin. 54 4169 (in Chinese) [吴加贵,吴正茂,林晓东,张毅,钟东洲,夏光琼 2005 54 4169]
[12] Kusumoto K, Ohtsubo J 2002 Opt. Lett. 27 989
[13] Lodi V A, Benedetti M, Merlo S, Norgia M, Provinzano B 2005 IEEE Photon. Technol. Lett. 17 1995
[14] Paul J, Lee M W, Shore K A 2005 IEEE Photon. Technol. Lett. 17 920
[15] Murakami A, Shore K A 2005 Phys. Rev. A 72 053810
[16] Takiguchi Y, Ohyagi K, Ohtsubo J 2003 Opt. Lett. 28 319
[17] Wang Y C, Zhang G W, Wang A B, Wang B J, Li Y L, Guo P 2007 Acta Phys. Sin. 56 4372 (in Chinese) [王云才, 张耕玮, 王安帮, 王冰洁, 李艳丽, 郭萍 2007 56 4372]
[18] Zhang W L, Pan W, Luo B, Zou X H, Wang M H, Zhou Z 2008 Opt. Lett. 33 237
[19] Liu X M, Yang X, Lu F, Ng J, Zhou X, Lu C 2005 Opt. Express 13 142
[20] Liu X M, Wang T, Shu C, Wang L R, Lin A, Lu K Q, Zhang T Y, Zhao W 2008 Laser Phys. 18 1357
[21] Ott E, Grebogi, York J A 1990 Phys. Rev. Lett. 64 1196
[22] Tong P Q, He J Y 1995 Acta Phys. Sin. 44 1551 (in Chinese) [童培庆, 何金勇 1995 44 1551 ]
[23] Yan S L 2006 Chin. J. Lasers (in Chinese) 33 1043 [颜森林 2006 中国激光 33 1043]
[24] Li S H, Cai H X 2004 Acta Phys. Sin. 53 1687 (in Chinese) [李世华, 蔡海兴 2004 53 1687 ]
[25] Yan S L 2011 Commun. Theor. Phys. 55 481
[26] Deng T, Xia G Q, Wu Z M, Lin X D, Wu J G 2011 Opt. Express 19 8762
[27] Wu J G, Wu Z M, Tang X, Lin X D, Deng T, Xia G Q, Feng G Y 2011 IEEE Photon. Technol. Lett. 23 759
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[1] Roy R, Thornburg K S 1994 Phys. Rev. Lett. 72 2009
[2] van Wiggeren G D, Roy R 1998 Science 279 1198
[3] Wu L, Zhu S Q 2003 Phys. Lett. A 308 157
[4] Ramos R V, Souza R F 2001 Opt. Cummun. 22 90
[5] Zhang F, Chu P L 2003 J. Lightwave Technol. 21 3334
[6] Zhou Y, Wu L, Zhu S Q 2005 Chin. Phys. 14 2196
[7] 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]
[8] Yan S L 2007 Chin. Phys. 16 3271
[9] Yang L, Pan W, Luo B, Zhang W L, Jiang N, Zhou Z, Yang G B 2008 Chin. J. Lasers 35 992 (in Chinese) [杨磊, 潘炜, 罗斌, 张伟利, 江宁, 周志, 杨国标 2008 中国激光 35 992]
[10] Argyris A, Syvridis D, Larger L, Lodi V A, Colet P, Fischer I, Ojalvo J G, Mirasso C R, Pesquera L, Shore K A 2005 Nature 438 343
[11] Wu J G, Wu Z M, Lin X D, Zhang Y, Zhong D Z, Xia G Q 2005 Acta Phys. Sin. 54 4169 (in Chinese) [吴加贵,吴正茂,林晓东,张毅,钟东洲,夏光琼 2005 54 4169]
[12] Kusumoto K, Ohtsubo J 2002 Opt. Lett. 27 989
[13] Lodi V A, Benedetti M, Merlo S, Norgia M, Provinzano B 2005 IEEE Photon. Technol. Lett. 17 1995
[14] Paul J, Lee M W, Shore K A 2005 IEEE Photon. Technol. Lett. 17 920
[15] Murakami A, Shore K A 2005 Phys. Rev. A 72 053810
[16] Takiguchi Y, Ohyagi K, Ohtsubo J 2003 Opt. Lett. 28 319
[17] Wang Y C, Zhang G W, Wang A B, Wang B J, Li Y L, Guo P 2007 Acta Phys. Sin. 56 4372 (in Chinese) [王云才, 张耕玮, 王安帮, 王冰洁, 李艳丽, 郭萍 2007 56 4372]
[18] Zhang W L, Pan W, Luo B, Zou X H, Wang M H, Zhou Z 2008 Opt. Lett. 33 237
[19] Liu X M, Yang X, Lu F, Ng J, Zhou X, Lu C 2005 Opt. Express 13 142
[20] Liu X M, Wang T, Shu C, Wang L R, Lin A, Lu K Q, Zhang T Y, Zhao W 2008 Laser Phys. 18 1357
[21] Ott E, Grebogi, York J A 1990 Phys. Rev. Lett. 64 1196
[22] Tong P Q, He J Y 1995 Acta Phys. Sin. 44 1551 (in Chinese) [童培庆, 何金勇 1995 44 1551 ]
[23] Yan S L 2006 Chin. J. Lasers (in Chinese) 33 1043 [颜森林 2006 中国激光 33 1043]
[24] Li S H, Cai H X 2004 Acta Phys. Sin. 53 1687 (in Chinese) [李世华, 蔡海兴 2004 53 1687 ]
[25] Yan S L 2011 Commun. Theor. Phys. 55 481
[26] Deng T, Xia G Q, Wu Z M, Lin X D, Wu J G 2011 Opt. Express 19 8762
[27] Wu J G, Wu Z M, Tang X, Lin X D, Deng T, Xia G Q, Feng G Y 2011 IEEE Photon. Technol. Lett. 23 759
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