Series Expansions of the Poduct of Bessel Functions and Sine/Cosine Functions and Their Applications in Microwave Filter

LI Sheng-xian; WU Xu-da

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Series Expansions of the Poduct of Bessel Functions and Sine/Cosine Functions and Their Applications in Microwave Filter

更新时间：2025-07-16

- Series Expansions of the Poduct of Bessel Functions and Sine/Cosine Functions and Their Applications in Microwave Filter
- Acta Electronica Sinica Vol. 28, Issue 9, Pages: 46-48(2000)
- 作者机构：
  
  中国空间技术研究院504所,西安,710000
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN73.459
- Published：2000
- 稿件说明：
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LI Sheng-xian, WU Xu-da. Series Expansions of the Poduct of Bessel Functions and Sine/Cosine Functions and Their Applications in Microwave Filter[J]. Acta Electronica Sinica, 2000, 28(9): 46-48.
DOI：

LI Sheng-xian, WU Xu-da. Series Expansions of the Poduct of Bessel Functions and Sine/Cosine Functions and Their Applications in Microwave Filter[J]. Acta Electronica Sinica, 2000, 28(9): 46-48. DOI：

摘要

根据对平面波函数运用Fourier-Bessel定理

经过一系列推导并进行反Fourier变换

得到了直角坐标系下Bessel函数与三角函数之积的一种级数展开

该表达式应用到矩-圆波导结的计算中

能解析地推出其广义S参数

得到与文献和HFSS软件较为一致的结果.计算了Ku和Ka频段多种尺寸的有厚度的矩形孔的耦合系数

并与文献、实验数据进行了比较

吻合较好

设计了一个Ku频段6阶类椭圆函数滤波器

实验性能与理论结果一致.

Abstract

By employing the Fourier-Bessel theorem to plane wave functions and through a series of deduction and inverse Fourier transform

one kind of series expansions of the product of Bessel functions and sine/cosine function in Cartesian coordinates is obtained.This expression can be used to compute the rectangular to circular waveguide junction and to analytically deduce its generatized S-parameters

which are in good agreement with results from other papers and HFSS.The coupling coefficient of rectangular iris with thickness are computed in Ku and Ka band

and numerical evaluations are presented

which show close agreement with experimental data and other paper.As a consequence

a 6th-order quasi-elliptic function filter in Ku band is realized through rigorous calculation of the coupling iris dimensions

and the measured data agree well with the predicted values.

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