用平面映射边界条件的伽辽金法分析耦合脊形光波导

Analysis of Coupled Rib Optical Waveguides Using Galerkin Method Based on the Plane Mapped Boundary Conditions

用平面射映边界条件的伽辽金法分析耦合脊形光波导的结果表明 ,耦合脊形光波导的耦合能力随脊高增加而减小 ,随波导间距增加呈指数衰减。给出了耦合脊形光波导所承载的偶、奇模电场分布 ,其结果与采用其它方法得出的结果吻合得较好 ,可以优化波导光电子器件的结构参数。另外 ,平面映射边界条件避免了非物理反射 ,待求矩阵小 ,计算效率高。

The coupled rib waveguideds were analyzed by using Galerkin method based on the plane mapped boundary conditions. The results indicate that the coupling ability decreases with increasing of the rib height and attenuates exponentially with increasing of the waveguides separation. The field intensity distributions of the even and odd modes supported by the coupled rib optical waveguides are obtained. Comparatively agreeing with those previously published, the results can be used to optimize the structural parameters for photonic devices. In addition, the plane mapped boundary conditions eliminate the non-physical reflection, and the small matrix derived from this method promotes the computational efficiency.