Improved Discretization of the Full First-Order Magnetic Field Integral Equation

TL;DR

This paper proposes an advanced weak-form discretization scheme for the magnetic field integral equation that significantly improves high-frequency accuracy without increasing computational complexity.

Contribution

It introduces a novel weak-form discretization approach that enhances the accuracy of the MFIE at high frequencies while maintaining computational efficiency.

Findings

High-frequency MFIE accuracy is improved significantly.

Higher-order discretization schemes alone may not fully resolve accuracy issues.

The proposed method achieves better results without added computational cost.

Abstract

The inaccuracy of the classical magnetic field integral equation (MFIE) is a long-studied problem. We investigate one of the potential approaches to solve the accuracy problem: higher-order discretization schemes. While these are able to offer increased accuracy, we demonstrate that the accuracy problem may still be present. We propose an advanced scheme based on a weak-form discretization of the identity operator which is able to improve the high-frequency MFIE accuracy considerably - without any significant increase in computational effort or complexity.