Frontiers of Optoelectronics, 2012, 5 (4): 414, 网络出版: 2013-02-24  

Competition mechanism of multiple four-wave mixing in highly nonlinear fiber: spatial instability and satellite characteristics

Competition mechanism of multiple four-wave mixing in highly nonlinear fiber: spatial instability and satellite characteristics
作者单位
1 Wuhan Foreign Languages School, Wuhan 430022, China
2 Wuhan National Laboratory for Optoelectronics, School of Optoelectronic Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
3 Naval University of Engineering, Wuhan 430033, China
摘要
Abstract
Competition mechanism in multiple four-wave mixing (MFWM) processes is demonstrated theoretically. Provided considering only two waves injected into a highly nonlinear fiber (HNLF), there are three modes displaying comprehensive dynamic behaviors, such as fixed points, periodic motion, and chaotic motion. Especially, Mode C ofMFWM is emphasized by analyzing its phase-space trajectory to demonstrate nonlinear wavewave interactions. The study shows that, when the phasespace trajectory approaches or gets through a saddle point, a dramatic power depletion for the injected wave can be realized, with the representative point moving chaotically, but when phase-space trajectories are distributed around a center point, the power for the injected wave is retained almost invariable, with the representative point moving periodically. Finally, the evolvement of satellite wave over an optical fiber is investigated by comparing it with the interference pattern in Young’s double-slit experiment.
参考文献

[1] Islam M N, Boyraz O. Fiber parametric amplifiers for wavelength band conversion. IEEE Journal of Quantum Electronics, 2002, 8(3): 527-537

[2] Geraghty D F, Lee R B, Verdiell M, Ziari M, Mathur A, Vahala K J. Wavelength conversion for WDM communication systems using four-wave mixing in semiconductor optical amplifiers. IEEE Journal of Quantum Electronics, 1997, 3(5): 1146-1155

[3] Hansryd J, Andrekson PA,Westlund M, Li J, Hedekvist P O. Fiberbased optical parametric amplifiers and their applications. IEEE Journal of Quantum Electronics, 2002, 8(3): 506-520

[4] Hedekvist P O, Karlsson M, Andrekson P A. Fiber four-wave mixing demultiplexing with inherent parametric amplification. Journal of Lightwave Technology, 1997, 15(11): 2051-2058

[5] Zhao Y. All-optical power-controlled switching in four-wave mixing. Optics Letters, 1989, 14(19): 1085-1087

[6] Nie Z Q, Zheng H B, Zhang Y, Zhao Y, Zuo C, Li C, Chang H, Xiao M. Experimental demonstration of optical switching and routing via four-wave mixing spatial shift. Optics Express, 2010, 18(2): 899-905

[7] Ciaramella E, Trillo S. All-optical signal reshaping via four-wave mixing in optical fibers. IEEE Photonics Technology Letters, 2000, 12(7): 849-851

[8] Ciaramella E, Curti F, Trillo S. All-optical signal reshaping by means of four-wave mixing in optical fibers. IEEE Photonics Technology Letters, 2001, 13(2): 142-144

[9] Liu X M, Zhou X Q, Lu C. Multiple four-wave mixing self-stability in optical fibers. Physical Review A, 2005, 72(1): 013811

[10] Liu X M, Zhou X Q, Lu C. Four-wave mixing assisted stability enhancement: theory, experiment, and application. Optics Letters, 2005, 30(17): 2257-2259

[11] Cappellini G, Trillo S. Third-order three-wave mixing in singlemode fibers: exact solutions and spatial instability effects. Journal of the Optical Society of America. B, Optical Physics, 1991, 8(4): 824-838

[12] Trillo S, Wabnitz S, Kennedy T A. Nonlinear dynamics of dualfrequency-pumped multiwave mixing in optical fibers. Physical Review A, 1994, 50(2): 1732-1747

[13] Cappellini G, Trillo S. Energy conversion in degenerate four-photon mixing in birefringent fibers. Optics Letters, 1991, 16(12): 895-897

[14] Trillo S, Wabnitz S. Dynamics of the nonlinear modulational instability in optical fibers. Optics Letters, 1991, 16(13): 986-988

[15] Zhao L, Sun J Q. Investigation of tunable trap filter utilizing intense signal four wave mixing model in highly non-linear fiber. Optics Communications, 2009, 282(14): 2975-2982

[16] Marhic M E, Wong K K Y, Ho M C, Kazovsky L G. 92% pump depletion in a continuous-wave one-pump fiber optical parametric amplifier. Optics Letters, 2001, 26(9): 620-622

[17] Gachet D, Brustlein S, Rigneault H. Revisiting the Young’s double slit experiment for background-free nonlinear Raman spectroscopy and microscopy. Physical Review Letters, 2010, 104(21): 213905

[18] Intonti F, Riboli F, Caselli N, Abbarchi M, Vignolini S, Wiersma D S, Vinattieri A, Gerace D, Balet L, Li L H, Francardi M, Gerardino A, Fiore A, Gurioli M. Young’s type interference for probing the mode symmetry in photonic structures. Physical Review Letters, 2011, 106(14): 143901

[19] Liu X M. Theory and experiments for multiple four-wave-mixing processes with multifrequency pumps in optical fibers. Physical Review A, 2008, 77: 043818

[20] Hart D L, Judy A F, Roy R, Beletic J. Dynamical evolution of multiple four-wave-mixing processes in an optical fiber. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1998, 57(4): 4757-4774

[21] Wu B B, Fu S N, Wu J, Shum P, Ngo N Q, Xu K, Hong X, Lin J. Simultaneous implementation of all-optical OR and AND logic gates for NRZ/RZ/CSRZ ON-OFF-keying signals. Optics Communications, 2010, 283(3): 349-354

[22] Zhao L, Sun J Q, Huang D. Photonic generation of ultrawideband signals by exploiting gain saturation of dark pump pulse with double undershoots in a highly nonlinear fiber. Optics Communications, 2011, 284(6): 1669-1676

Liang ZHAO, Junqiang SUN, Xinliang ZHANG, Cong CHEN. Competition mechanism of multiple four-wave mixing in highly nonlinear fiber: spatial instability and satellite characteristics[J]. Frontiers of Optoelectronics, 2012, 5(4): 414. Liang ZHAO, Junqiang SUN, Xinliang ZHANG, Cong CHEN. Competition mechanism of multiple four-wave mixing in highly nonlinear fiber: spatial instability and satellite characteristics[J]. Frontiers of Optoelectronics, 2012, 5(4): 414.

关于本站 Cookie 的使用提示

中国光学期刊网使用基于 cookie 的技术来更好地为您提供各项服务,点击此处了解我们的隐私策略。 如您需继续使用本网站,请您授权我们使用本地 cookie 来保存部分信息。
全站搜索
您最值得信赖的光电行业旗舰网络服务平台!