A Novel Impedance Definition of a Parallel Plate Pair for an Intrinsic Via Circuit Model
A Novel Impedance Definition of a Parallel Plate Pair for an Intrinsic Via Circuit Model
复制标题
DOI：
10.1109/tmtt.2010.2083870
复制
发表时间：
2010-10
影响因子：
4.3
通讯作者：
Yaojiang Zhang;Gang Feng;Jun Fan
中科院分区：
文献类型：
--
作者：
Yaojiang Zhang;Gang Feng;Jun Fan
对过孔 - 平板对相互作用进行严格分析需要根据理想磁导体（PMC）端口上的径向传输线来定义平板对的阻抗。平板区域并非是一个实心平板对，而是一个带有多个PMC孔的平板对，常规的阻抗定义在此并不适用。文中提出了一种新的阻抗定义，其中端口电压和电流根据径向传输线的内向和外向零阶模式来表示。接着引入了多个径向端口之间的径向散射参数，并给出了径向散射矩阵和阻抗矩阵之间的转换关系。利用柱面波的加法定理推导出了圆形平板对中径向散射矩阵的解析公式。此外，还开发了一种边界积分方程法来计算任意不规则平板对的径向散射矩阵。该方法通过解析和数值模拟以及测量得到了验证。
Rigorous analysis of via-plate-pair interactions requires the impedance of a plate pair to be defined in terms of radial transmission lines on perfect magnetic conductor (PMC) ports. The plate domain is not a solid plate pair but one with multiple PMC holes where conventional impedance definitions are not suitable. A new impedance definition is proposed where port voltages and currents are expressed in terms of the inward and outward zero-order modes of a radial transmission line. Radial scattering parameters among multiple radial ports are then introduced and the transforms between the radial scattering and impedance matrices are given. An analytical formula for the radial scattering matrix in a circular plate pair is derived using the addition theorems of cylindrical waves. Furthermore, a boundary integral-equation method is developed to calculate the radial scattering matrix for any irregular plate pair. The method is validated by analytical and numerical simulations as well as measurements.