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摘要: 根据聚合物脊型波导的结构特点,利用有效折射率法求出其横向折射率分布,将三维传播转化为二维传播,并从标量波动方程出发,在傍轴近似的情况下,采用Crank-Nicholson差分格式,得到了泰勒级数展开法基本计算格式,并对算法进行了适当优化;通过对Mach-Zehnder光波导TM模的模拟,分析了各种参数对损耗的影响。结果表明:泰勒级数展开法具有精度高、稳定性好、算法简单、易于编程等优点,是一种比较理想的光波导数值分析方法,可为聚合物电光调制器的设计制作提供理论参考。
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关键词:
- 电光聚合物 /
- Mach-Zehnder波导 /
- TM模 /
- 有效折射率法 /
- 泰勒级数展开法
Abstract: Mach-Zehnder waveguide is an important part in integrated optics. The transverse distribution of refractive index of polymeric ridge waveguide was calculated with the effective index method (EIM) and 3-D propagation was converted into 2-D propagation according to the structural characteristics of the polymeric ridge waveguide. Based on paraaxial scalar equation, using CrankNicholson scheme, the basic calculation scheme of Taylor series expansion method was obtained and optimized. By simulating the TM mode of a real Mach-Zehnder waveguide, the influence of various parameters on the loss was analyzed. The results show that this method is accurate, stable and easy to program. -
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