Abstract
Starting directly from the nonlinear propagation equation including saturable nonlinearity, the first- and the second-order nonlinear dispersions, the dispersion relation, instable condition, gain spectra, and the dimensionless cut-off frequency and gain spectra of modulation instability (MI) in the negative refractive material are deduced by adopting the linear stability analysis and Drude electromagnetic model. And the variations of the dimensionless gain spectra with the normalized angular frequency and normalized incident power are calculated and discussed for different sign relations between the linear dispersion and the third-order nonlinear coefficients. The results show that in the negative refractive index region, MI can occur irrespective of the sign relation between the linear dispersion and the third-order nonlinear coefficients. And depending on different dimensionless angular frequencies and different sign relations, the variations of the dimensionless gain spectra with incident power take on several different forms. Namely, the peak gain and the cut-off frequency of MI may increase then decrease with the increase of the incident power, or decrease monotonously. Moreover, MI may even have a threshold incident power for some cases.
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References
Agrawal G P, Baldeck P L and Alfano R R, Phys. Rev. A 39, 3406 (1989).
Tchofo Dinda P and Porsezian K, J. Opt. Soc. Am. B 27, 1143 (2010).
Zhong Xian-qiong, Xiang An-ping, Cai Qing and Luo Li, Chin. J. Laser 33, 1200 (2006). (in Chinese)
Zhong Xianqiong and Xiang Anping, Opt. Fiber Technol. 13, 271 (2007).
Ndzana F II, Mohamadou A and Kofané T C, Opt. Commun. 275, 421 (2007).
Shi P M, Yu S, Liu T, Sheng Jing and Gu Wanyi, Opt. Lett. 34, 1339 (2009).
Gong Y D, Shum P, Tang D Y, Lu C and Guo X, Optics Express 11, 2480 (2003).
Scalora M, Syrchin M S, Akozbek N, Poliakov Evgeni Y, Aguanno Giuseppe D, Mattiucci Nadia, Bloemer Mark J and Zheltikov Aleksei M, Phys. Rev. Lett. 95, 013902-1 (2005).
Cui Weina, Zhu Yongyuan, Li Hongxiao and Liu Sumei, Phys. Lett. A 374, 380 (2009).
TIAN Zhen, LIU Shan-liang and ZHENG Hong-jun, Journal of Optoelectronics·Laser 21, 537 (2010). (in Chinese)
I. Kourakis and P. K. Shukla, Phys. Rev. E 72, 016626-1 (2005).
Wen Shuangchun, Wang Youwen, Su Wenhua, Xiang Yuanjiang, Fu Xiquan and Fan Dianyuan, Phys. Rev. E 73, 036617-1 (2006).
LI Xiao-li, ZHANG Lian-shui, ZHANG Wei, YANG Li-jun and LI Xiao-wei, Journal of Optoelectronics·Laser 21, 149 (2010). (in Chinese)
W. Zhou, W. H. Su, X. Cheng, Xiang Y J, Dai X Y and Wen S C, Opt. Commun. 282, 1440 (2009).
Maluckov A, Hadzievski Lj, Lazarides N and Tsironis G P, Phys. Rev. E 77, 046607-1 (2008).
Xiang Yuanjiang, Dai Xiaoyu, Wen Shuangchun and Fan Dianyuan, J. Opt. Soc. Am. B 28, 908 (2011).
Pendry J B, Phys. Rev. Lett. 85, 3966 (2000).
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This work has been supported by the Key Project of Chinese Ministry of Education (No. 210186), and the Scientific Research Foundation of CUIT (No.2010d1).
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Zhong, Xq. Modulation instability in negative refractive materials with saturable nonlinearity. Optoelectron. Lett. 8, 157–160 (2012). https://doi.org/10.1007/s11801-012-1128-x
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DOI: https://doi.org/10.1007/s11801-012-1128-x