Eigenmode Sequence for an Elliptic Waveguide with Arbitrary Eccentricity

Shanjie Zhang and Yaochun Shen

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Eigenmode Sequence for an Elliptic Waveguide with Arbitrary Eccentricity

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- Eigenmode Sequence for an Elliptic Waveguide with Arbitrary Eccentricity
- Acta Electronica Sinica Issue 3, (1994)
- 作者机构：
  
  南京大学信息物理系
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN814
- Published：1994
- 稿件说明：
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[1]张善杰,沈耀春.任意偏心率椭圆波导的本征模序列[J].电子学报,1994(03):86-89.

Shanjie Zhang and Yaochun Shen. Eigenmode Sequence for an Elliptic Waveguide with Arbitrary Eccentricity[J]. Acta Electronica Sinica, 1994, (3).
[1]张善杰,沈耀春.任意偏心率椭圆波导的本征模序列[J].电子学报,1994(03):86-89. DOI：

Shanjie Zhang and Yaochun Shen. Eigenmode Sequence for an Elliptic Waveguide with Arbitrary Eccentricity[J]. Acta Electronica Sinica, 1994, (3). DOI：

摘要

本文采用自编的程序计算马丢函数及其导数，并用二分法和弦截法直接求解了第一类变型马丢函数及其导数的零点，从而精确求得了具有任意偏心率椭圆波导的本征模序列。文中计算了前１００个本征模截止波长，并给出了前２４个模式的截止波长与椭圆偏心率关系曲线及前１０个模式的多项式拟合公式．

Abstract

Eigenmode sequence for an elliptic waveguide with arbitrary eccentricity is studied by directively calculating modified Mathieu functions and their derivatives of the first kind. The normalized cutoff wavelegths of the lowest 100 successive modes are presented

and the curvefitting expressions for the determination of the cutoff wavelength of the 10 lowest order modes are given

which are valid for the eccentricity ranging from 0.0 to 1.0.

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