An Improved Cubic Polynomial Method for Interpolating/Extrapolating Mom Matrices Over a Frequency Band

Abstract

The inter/extrapolation accuracy of the cubic polynomial method has been improved by optimizing three frequency samples for frequency-sweeping in the method of moments (MoM). In the method, the frequency samples are optimized by minimizing the global maximum of the polynomial component at the stationary points and two terminal points of the frequency band. The optimal frequency samples can be expressed as analytical forms of the two terminal points. Numerical examples are presented to validate the proposed method through comparison with the Padé approximation.

Fast scattering analysis over a wide frequency band using Clenshaw–Lord‐type Pade–Chebyshev approximation

“…To apply this method, stability problem in time domain should be considered carefully. In addition, impedance matrices of MoM were predicted using interpolation method for efficient wide-band analysis [5][6][7]. This method uses the polynomial expression and needs derivatives to extract the coefficients of interpolation function.…”

Estimation Method for Simultaneous Switching Noise in Power Delivery Network for High-Speed Digital System Design

“…How to model the PDN including different types of modules with wideband features, and at the same time possess rather complicated coupling schemes, is a very challenging task by the conventional approaches. The modeling methods have been discussed in many papers, numerical methods such as method of moments (MoM), finite-difference method (FDM) and finite difference time domain (FDTD) have been used in the past to analyze the PCB structures [6][7][8][9][10][11][12][13]. The transmission matrix method (TMM) uses a fast method of computing the portto-port behavior of special parallel plane structures based on the transmission matrix (or ABCD matrix) of each column of unit cells [14].…”