| 镀金属四包层长周期光纤光栅特征方程的建立与求解 |
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| 引用本文： | 徐艳平,顾铮(一先,陈家璧. 镀金属四包层长周期光纤光栅特征方程的建立与求解[J]. 上海理工大学学报(社会科学版), 2006, 28(1): 9-13 |
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| 作者姓名： | 徐艳平 顾铮(一先 陈家璧 |
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| 作者单位： | 上海第二工业大学电子与电气工程学院 上海201209(徐艳平),上海理工大学光学与电子信息工程学院 上海200093(顾铮■,陈家璧) |
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| 基金项目： | 上海市教委"曙光计划";上海市自然科学基金;上海市重点学科建设项目 |
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| 摘 要： | 根据耦合模理论,建立了镀金属四包层长周期光纤光栅气体传感器的模型和特征方程,讨论了由于金属的复折射率虚部较大,引起特征方程中贝塞尔函数溢出的问题.提出了采用在贝塞尔函数源程序中乘上一个缩放因子解决溢出问题的方法,并给出了3种解决办法———积分法、幂级数法和渐进展开法.
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| 关 键 词： | 长周期光纤光栅 金属包层 复折射率 复特征方程 |
Establishment and solution of the characteristic equation of metal coated quadruple clad long-period fiber grating |
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| XU Yan-ping,GU Zheng-tian,CHEN Jia-bi. Establishment and solution of the characteristic equation of metal coated quadruple clad long-period fiber grating[J]. Journal of University of Shanghai For Science and Technilogy(Social Science), 2006, 28(1): 9-13 |
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| Authors: | XU Yan-ping GU Zheng-tian CHEN Jia-bi |
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| Affiliation: | 1. School of Electronics and Electrical Engineering, Shanghai Second Polytechnic University, .Shanghai 201209, China ; 2.College of Optics and Electronics Engineering, University of Shanghai for Science and Technology , Shanghai 200093, China |
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| Abstract: | Based on coupledmode theory,the general model and characteristic euqation of metalcoated quadruple clad longperiod fiber grating gas sensors are established.The problem of overflow of the Bessel functions caused by the big imaginary part of the complex refractive index of metal is discussed detailedly.The solution is given by a programmed scaling of each step of the calculation of the Bessel functions.In addition,three procedures(the integral method,the power series,and the asympotic expansion) are discussed detailedly. |
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| Keywords: | long-period fiber grating metal cladding complex refractive index complex characteristic equation |
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