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Single-mode optical fibers using Pade approximants

机译:使用Pade近似值的单模光纤

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摘要

We propose a new, fast, and accurate numerical technique for analyzing single-mode optical fibers with arbitrary (transverse) refractive index profile. The method is based upon a Pade (rational) approximation of the spectral domain Green's function of the fiber, obtained by solving a hierarchy of static problems. The sought eigenfrequency and modal field are accordingly estimated by computing, respectively, the dominant pole and the related residual of the rational approximant. Numerical simulations and comparison with known analytical results indicate that the proposed method is highly accurate, reliable, and computationally affordable.
机译:我们提出了一种新的,快速而准确的数值技术,用于分析具有任意(横向)折射率分布的单模光纤。该方法基于光纤的光谱域格林函数的Pade(合理)近似值,该函数是通过解决静态问题的层次结构而获得的。因此,分别通过计算有理近似值的主极点和相关残差,可以分别估算出所需的本征频率和模态场。数值模拟和与已知分析结果的比较表明,所提出的方法是高度准确,可靠且计算上可承受的。

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