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首页> 外文会议>Conference on Integrated Optics: Devices, Materials, and Technologies Ⅵ Jan 21-23, 2002 San Jose, USA >Full-vectorial beam propagation method for waveguide modeling
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Full-vectorial beam propagation method for waveguide modeling

机译：用于波导建模的全矢量光束传播方法

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摘要

The beam propagation method (BPM) is one of the most popular approaches in modeling electromagnetic field propagation. The conventional BPM is established on scalar Helmholtz equation using paraxial approximation. There are limits in the analysis of the vector properties of electromagnetic field and wide-angle propagation. This paper presents the techniques of removing these limits. A full-vectorial BPM bases on finite-difference technique is described from vector wave equations, called finite-difference vectorial beam propagation method (FD-VBPM). The main disadvantage of FD-VBPM is the calculation inefficiency, especially in three dimensional modeling. To obtain two dimensional equivalent structures, a precise optimization approach is adopted. Propagation constant and field of fundamental mode best match those of the original waveguide. The method has very high accuracy. The decoupled semi-vectorial BPM is also derived. The full-vectorial method is extended to wide-angle BPM removing paraxial limit. The method bases on Pade approximant. Simulations are made on rib waveguide.
机译：波束传播方法（BPM）是电磁场传播建模中最流行的方法之一。传统的BPM使用近轴近似在标量Helmholtz方程上建立。在分析电磁场和广角传播的矢量特性方面存在局限性。本文介绍了消除这些限制的技术。从矢量波方程描述了一种基于有限差分技术的全矢量BPM，称为有限差分矢量波束传播方法（FD-VBPM）。 FD-VBPM的主要缺点是计算效率低下，尤其是在三维建模中。为了获得二维等效结构，采用了精确的优化方法。基本模式的传播常数和场最匹配原始波导的传播常数和场。该方法具有很高的准确性。还导出了解耦的半矢量BPM。全矢量方法扩展到消除近轴极限的广角BPM。该方法基于帕德近似值。在肋形波导上进行了仿真。

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