光学学报, 2006, 26 (10): 1549, 网络出版: 2006-10-31   

光纤布拉格光栅中的隙孤子存在条件

Condition of Gap Soliton in Fiber Bragg Grating
作者单位
北京航空航天大学 电子信息工程学院, 北京 100083
摘要
提出光纤布拉格光栅中产生隙孤子的条件和参量制约关系。利用非线性耦合模式方程建立光纤布拉格光栅中孤子的传播方程,通过扰动方法建立了参量的微分方程,计算得到参量近似解。以周期非线性光学介质中隙孤子存在的条件为依据,数学计算分析得到两组参量关系不等式。最终通过数值计算说明了这些参量之间存在制约关系和物理意义。从而理论上说明了在光纤布拉格光栅中隙孤子存在需要选择适当参量。为光纤布拉格光栅中产生隙孤子的实验和进一步的工程应用提供了理论基础。
Abstract
The condition of the gap soliton production in fiber Bragg grating and the parameters conditionality are advanced. The propagation equation of the solitons in fiber Bragg grating is described by the nonlinear coupledmode equation,then the differential equations of parameters are obtained by applying the perturbation method, and the approximate results for parameters are calculated. Based on the conditions of the gap soliton in periodical nonlinear optical medium, two inequalities for relation of parameters are obtained. These parameters conditionality and physical significance are proved by numerical calculation. It is theoretically showed that proper parameters choice is needed for gap solitons production in fiber Bragg grating. The study lays the theoretical fundation for solitons production experiments and further engineering application in fiber Bragg grating.
参考文献

[1] . C. Farries, C. M. Ragdale, D. C. J. Reid. Broadband chirped fibre Bragg filters for pump rejection and recycling in erbium doped fibre amplifiers[J]. Electron. Lett., 1992, 28(5): 487-489.

[2] . Zengerle, O. Leminger. Phaseshifted Bragggrating filters with improved transmission characteristics[J]. J. Lightwave Technol., 1995, 13(12): 2354-2358.

[3] . Petruzzi, C. Lowry, P. Sivanesan. Dispersion compensation using only fiber Bragg gratings[J]. IEEE J. Selected Topics in Quant. Electron., 1999, 5(5): 1339-1344.

[4] G. Lenz, B. J. Eggleton, N. Litchinitser. A pulse compressor based on selfphase modulation in a fiber Bragg grating[C]. Lasers and ElectroOptics, CLEO 98. Technical Digest. Summaries of Papers Presented at the Conference on,3~8 May, 1998. 165

[5] Raymond M. Measures. Structural Monitoring with Fiber Optic Technology[M]. San Diego, California: Academic Press, 2001. 526~642

[6] . J. Rao, M. R. Cooper, D. A. Jackson et al.. Absolute strain measurement using an infibreBragggratingbased FabryPérot sensor[J]. Electron. Lett., 2000, 36(8): 708-709.

[7] . J. Rao, K. Kalli, G. Brady et al.. Spatiallymultiplexed fibreoptic Bragg grating strain and temperature sensor system based on interferometric wavelengthshift detection[J]. Electron. Lett., 1995, 31(12): 1009-1010.

[8] . J. Rao, D. J. Webb, D. A. Jackson et al.. Highresolution, wavelengthdivisionmultiplexed infibre Bragg grating sensor system[J]. Electron. Lett., 1996, 32(10): 924-926.

[9] . A. Berkoff, A. D. Kersey. Fiber Bragg grating array sensor system using a bandpass wavelength division multiplexer and interferometric detection[J]. IEEE Photon. Technol. Lett., 1996, 8(11): 1522-1524.

[10] . lenz, B. J. Eggleton. Adiabatic Bragg soliton conpression in nonuniform grating structures[J]. J. Opt. Soc. Am. B, 1998, 15(12): 2979-2985.

[11] . J. Eggleton, R. E. Slusher, C. M. de Sterke et al.. Bragg grating soliton[J]. Phys. Rew. Lett., 1996, 76(10): 1627-1630.

[12] . Taver, N. G. R. Broderick, D. J. Richardson et al.. Nonlinear selfswitching and multiple gapsoliton formation in a fiber Bragg grating[J]. Opt. Lett., 1998, 23(5): 328-330.

[13] . N. Christodoulides, R. I. Joseph. Slow Bragg solitons in nonlinear periodic structures[J]. Phys. Rew. Lett., 1989, 62(15): 1746-1749.

[14] A. B. Aceves, S. Wabnitz. Selfinduced transparency solitons in nonlinear refractive periodic media[J]. Phys. Lett. A, 1989, 141(1,2): 37~42

[15] . M. de Sterke, J. E. Sipe. Envelopefunction approach for the electrodynamics of nonlinear periodic structures[J]. Phys. Lett. A, 1988, 38(10): 5149-5165.

[16] C. M. de Sterke, J. E. Sipe. “Gap solitons”, in Progress in Optics ⅩⅩⅩⅠⅠⅠ, E. Wolf, ed, Chap. Ⅲ. 203~260, Elsevier, Amsterdam,1994

[17] . N. Tsoy, C. M. de Sterke. Propagation of nonlinear pules in chirped fiber gratings[J]. Phys. Rev. E, 2000, 62(2): 2882-2890.

[18] . N. Tsoy, C. M. de Sterke. Soliton dynamics in nonuniform fiber Bragg gratings[J]. Opt. Soc. Am. B, 2001, 18(1): 1-6.

[19] . I. Maimistov. Evolution of solitary waves which are approximately solitons of a nonlinear Schrdinger equation[J]. Sov. Phys. JETP, 1993, 77(5): 727-731.

[20] . Anderson. High transmission rate communication systems using lossy optical fibers[J]. Opt. Commun., 1983, 48(2): 107-113.

李小路, 江月松. 光纤布拉格光栅中的隙孤子存在条件[J]. 光学学报, 2006, 26(10): 1549. 李小路, 江月松. Condition of Gap Soliton in Fiber Bragg Grating[J]. Acta Optica Sinica, 2006, 26(10): 1549.

本文已被 1 篇论文引用
被引统计数据来源于中国光学期刊网
引用该论文: TXT   |   EndNote

相关论文

加载中...

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!