Impacts of higher-order dispersions and saturable nonlinearities on modulation instability in negative-refractive metamaterials

doi:10.1088/1674-1056/22/3/034205

Abstract On the basis of the standard linear stability analysis and Drude electromagnetic model, the impacts of higher-order dispersions and three kinds of typical saturable nonlinearities on modulation instability (MI) have been analyzed and calculated for negative-refractive metamaterials (MMs). Our results show that the MI gain spectra consist of only one spectral region instead of one or two regions in ordinary materials, which may be close to or far from the zero point. Particularly, the spectrum far from the zero point has a high cut-off frequency but a narrow spectral width, which is obviously beneficial to the generation of high-repetition-rate pulse trains. Moreover, MI characteristics here will vary with the normalized angular frequency which can be modified by adjusting the structures of negative-refractive MMs, signifying the controllability of bistable solitons and MI based applications. The effects of saturable nonlinearities are similar to those in ordinary materials.

Keywords: modulation instability (MI) negative-refractive metamaterial (MM) saturable nonlinearity higher-order dispersion

Received: 21 July 2012
Revised: 18 September 2012
Accepted manuscript online:

PACS:	42.65.Sf	(Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics)
	42.65.Tg	(Optical solitons; nonlinear guided waves)
	42.70.Nq	(Other nonlinear optical materials; photorefractive and semiconductor materials)

Fund: Project supported by the National Key Technology Research and Development Program of the Ministry of Science and Technology of China (Grant No. 210186) and the Scientific Research Foundation of Chengdu University of Information Technology, China (Grant Nos. 2010d1 and J201117).

Corresponding Authors: Zhong Xian-Qiong
E-mail: zxqlxh@yeah.net

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Zhong Xian-Qiong (钟先琼), Cheng Ke (程科), Xiang An-Ping (向安平) Impacts of higher-order dispersions and saturable nonlinearities on modulation instability in negative-refractive metamaterials 2013 Chin. Phys. B 22 034205

[1]	Cui W N, Zhu Y Y, Li H X and Liu S M 2009 Phys. Lett. A 374 380
[2]	Xiang Y J, Dai X Y, Wen S C and Fan D Y 2011 J. Opt. Soc. Am. B 28 908
[3]	Maluckov A, Hadzievski L, Lazarides N and Tsironis G P 2008 Phys. Rev. E 77 046607
[4]	Dai X Y, Wen S C and Xiang Y J 2008 Acta Phys. Sin. 57 186 (in Chinese)
[5]	Wen S C, Xiang Y J, Su W H, Hu Y H, Fu X Q and Fan D Y 2006 Opt. Express 14 1568
[6]	Demircan A and Bandelow U 2006 Appl. Phys. B 86 31
[7]	Zhong X Q and Xiang A P 2010 Chin. Phys. Lett. 27 014203
[8]	Alexander M, Rubenchik M, Turitsyn K and Fedoruk M P 2010 Opt. Exptress 18 1380
[9]	Choudhuri A and Porsezian K 2012 Phys. Rev. A 85 033820
[10]	Wen S C, Su W H, Zhang H, Fu X Q, Qian L J and Fan D Y 2003 Chin. Phys. Lett. 20 852
[11]	Cheng W, Meng Z and Zhou H J 2012 Chin. Phys. B 21 094215
[12]	Abdullaev F Kh, Darmanyan S A, Bischoff S, Christiansen P L and Sorensen M P 1994 Opt. Commun. 108 60
[13]	Zhong X Q and Xiang A P 2010 Chin. Phys. B 19 064212
[14]	Dinda P and Porsezian K 2010 J. Opt. Soc. Am. B: Opt. Phys. 27 1143
[15]	Hickmann J M, Cavalcanti S B, Borges N M, Gouveia E A and Gouveia-Neto A S 1993 Opt. Lett. 18 182
[16]	Lyra M L and Gouveia-Neto A S 1994 Opt. Commun. 108 117
[17]	Amarendra K S and Manirupa S 2011 J. Opt. Soc. Am. B: Opt. Phys. 28 944
[18]	Kourakis I and Shukla P K 2005 Phys. Rev. E 72 016626
[19]	Wen S C, Wang Y W, Su W H, Xiang Y J, Fu X Q and Fan D Y 2006 Phys. Rev. E 73 036617
[20]	Xiang Y J, Wen S C, Dai X Y, Tang Z X, Su W H and Fan D Y 2007 J. Opt. Soc. Am. B: Opt. Phys. 24 3058
[21]	Zhong X Q, Tang T T, Xiang A P and Cheng K 2011 Opt. Commun. 284 4727
[22]	Pendry J B 2000 Phys. Rev. Lett. 85 3966
[23]	Zhou W, Su W H, Cheng X, Xiang Y J, Dai X Y and Wen S C 2009 Opt. Commun. 282 1440

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Impacts of higher-order dispersions and saturable nonlinearities on modulation instability in negative-refractive metamaterials

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