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 .
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.
出处
《电子学报》
EI
CAS
CSCD
北大核心
2000年第9期46-48,15,共4页
Acta Electronica Sinica
关键词
BESSEL函数
级数展开
微波滤波器
三角函数
Bessel functions
series expansions
waveguide junction of rectangular to circular
coupling aperture (iris)
rigorous calculation
quasi elliptic function
filter
