摘要
利用有限差分法对一种三维磁光波导模式转换器进行了数学模拟。差分方程采用标量耦合波方程,差分过程中利用交替方向隐式法将一个步长分成两步计算,加入透明边界条件,交换方程顺序,化简方程为三对角方程,利用追赶法求解,大大提高了计算效率。光在波导中传输7000μm后,TE模和TM模达到90%能量转换,总能量保持不变,模拟结果与理论相符。
Finite difference beam propagation method used to simulate a 3D magneto-optical mode conversion waveguide. Scalar-coupled-wave equations are adopted as finite difference equations. The alternating direction implicit method has been used to divide one step into two substeps. Then we add transparent boundary condition and exchange the order of the equations. The equations are reduced to be tridiagonal and can be solved quickly and easily by the standard tridiagonal algorithm. After the light transmits about 7 000 μm in the waveguide,TE mode and TM mode have approximately 90% power exchange,and the total power keeps invariable. The results are in excellent agreement with the theory.
出处
《半导体光电》
EI
CAS
CSCD
北大核心
2007年第2期172-175,227,共5页
Semiconductor Optoelectronics
基金
国家杰出青年科学基金资助项目(60588502)
关键词
模式耦合
模式转换
有限差分光束传播法
交替方向隐式法
mode couple
mode conversion
finite difference beam propagation method
alternating direction implicit
