Accurate Solution of Magnetic Field Integral Equation with Higher-Order Basis Functions and Non-Uniform Rational B-Splines Modeling

Abstract

This article presents an accurate higher-order moment method to solve the magnetic field integral equation by higher-order basis functions and the non-uniform rational B-splines geometric modeling. Instead of the existing techniques for planar triangulations, it applies two simple integral transformations to extract the singularities and near singularities in the impedances. The performance of the proposed method is illustrated on two examples: a sphere and a missile scatterer. The resulting radar cross-section of this method is often more accurate than that of the magnetic field integral equation with a low-order moment method. Additionally, when the matrix equation is solved by iterative algorithms, the proposed method does not always converge faster than its electric field integral equation counterpart.

Keywords:

• higher-order moment method
• non-uniform rational B-splines
• magnetic field integral equation
• near singularity

Additional information

Funding

This work is supported by the National Natural Science Foundation of China (grants 61072018 and 60901030), the Fundamental Research Funds for the Central Universities (grants JB150223 and WRYB142105), and the China Postdoctoral Science Foundation (grant 2014M561211).