积分法求解长周期光纤光栅透射谱研究

摘要

Based on the coupled mode theory，the electromagnetic fields in core and cladding of long-period fiber grating are analyzed using Debye potential method．The vector expression of the field componentsinthe core andthe cladding are obtained．After solving the effective refractive index and the coupling constants of the core and cladding modes，transmission spectrum is got through solving the couped mode equation by numerical integrstion method．The integral method is an accurate method for solving transmission spectrum．The research provides theoretical foundation for optimization and high Sellsitive measurement in the fields of optic fiber communication and sensors．%基于光纤光栅的模式耦合理论,用德拜势能法对纤芯、包层内的电磁场进行矢量分析,得到纤芯及各包层中的各矢量场分量的表达式,求解出纤芯和包层模的耦合常数和有效折射率后,利用数值积分的方法通过求解耦合模方程得到光纤光栅的透射率.积分法是一种较为精确的求解透射谱方法,为长周期光纤光栅的优化设计和其在光纤通信、光纤传感领域的高精度测量提供理论依据.