基于多分辨分析计算波导的TE和TM模
COMPUTATION OF TE AND TM MODES IN WAVEGUIDES OF ARBITRARY CROSS SECTIONS BASED ON MULTIRESOLUTION ANALYSIS
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摘要: 本文根据多分辨分析理论，给出了计算具有任意横截面波导的TE模和TM模的一种方法。在该方法中，用尺度函数把场分量(Ez或Hz)近似为级数，通过变分公式把波导问题化为矩阵方程。并且把波导截面分为许多矩形区域，用三阶B-样条函数，推出了矩阵元素的具体表达式。为了验证该方法，以三种不同的波导为实例进行了计算。
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关键词:
- 多分辨率分析;尺度函数;B-样条;波导
Abstract: Based on multiresolution analysis,a method for computation of TE and TM modes in arbitrary cross sections is described.The method uses expansion in terms of scaling functions to approximate the axial field component (Ez or Hz) and transforms the field equation into a matrix equation by applying a variational formulation.The matrix elements are formulated by dividing the waveguide cross section into rectangles and using third-order B-spline.Numerical examples are provided for various waveguides to show the validity and effectiveness of the method. -
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