阵列波导光栅中自由传播区模式的有效折射率  

Determination problem of mode effective refractive index in the free propagation region of AWG

作　　者：刘志明[1,2] 陈坤峰[1,2] 高业胜[2] 史学舜[1,2] 简水生[3] 

机构地区：[1]电子测试技术重点实验室,山东青岛266555 [2]中国电子科技集团公司第四十一研究所,山东青岛266555 [3]北京交通大学光波技术研究所,北京100044

出　　处：《红外与激光工程》2013年第8期2146-2149,共4页Infrared and Laser Engineering

基　　金：国家重点基础研究发展计划(2010CB328206);国家高技术研究发展计划(2008AA01Z15);国家自然科学基金(60771008);重点实验室基金(9140C1203021106;9140C120301130C12051)

摘　　要：针对阵列波导光栅设计中自由传播区模式有效折射率的确定问题,提出了一种采用加权等效模式折射率作为自由传播区模式有效折射率的方法。通过引入慢变包络近似条件并采用吸收边界条件的一阶Galerkin有限元法,给出了阵列波导光栅自由传播区仅含有磁场分量的全矢量波动方程组。在此基础上,基于三维全矢量束传播法对自由传播区光场进行了模式分析,并结合导模传输分析法,推导给出了加权等效模式折射率的表达式,为阵列波导光栅设计中自由传播区模式折射率的确定提供了一个理论依据。Considering the determination of mode effective refractive index in the free propagation region of AWG, a new method using weighted equivalent mode refractive index as the mode effective refractive index in the free propagation region was proposed. The vector wave equation of magnetic field in the free propagation region of AWG was demonstrated using Galerkin finite element method with absorbing boundary condition under the slowly-vary-envelope approximation. On this basis, the mode of free propagation region was analyzed based on 3D full-vector beam propagation method, and the equation of weighted equivalent mode refractive index was deduced with guided-mode propagation analysis method. This method provides a useful theoretical tool for the determination of mode effective refractive index in the free propagation region of AWG.

关 键 词：有限元 束传播法 导模传输分析法 阵列波导光栅 

分 类 号：TN929.11[电子电信—通信与信息系统]