An Adaptive Interpolation Scheme for Wideband Frequency Sweep in Electromagnetic Simulations

TL;DR

This paper introduces an adaptive interpolation method for electromagnetic simulations that improves accuracy across wide frequency bands by dynamically refining sampling points and applying different interpolation strategies, validated through numerical examples.

Contribution

It presents a novel adaptive interpolation scheme that enhances wideband electromagnetic response calculations by error-controlled refinement and tailored strategies.

Findings

Accurately computes wideband responses with fewer samples.

Reduces error fluctuations and avoids Runge phenomenon.

Validated through antenna and filter simulations.

Abstract

An adaptive interpolation scheme is proposed to accurately calculate the wideband responses in electromagnetic simulations. In the proposed scheme, the sampling points are first carefully divided into several groups based on their responses to avoid the Runge phenomenon and the error fluctuations, and then different interpolation strategies are used to calculate the responses in the whole frequency band. If the relative error does not satisfy the predefined threshold in a specific frequency band, it will be refined until the error criteria is met. The detailed error analysis is also presented to verify the accuracy of the interpolation scheme. At last, two numerical examples including the antenna radiation and the filter simulation are carried out to validate its accuracy and efficiency.