An accurate time-domain algorithm using high-order spatial basis functions for bodies of revolution

Abstract

In this article, a time-domain algorithm using high-order spatial basis functions is proposed to obtain the induced currents and scattering field for bodies of revolution accurately and effectively. The third-order Hermite polynomials are used as the spatial basis functions, and the Laguerre polynomials are employed as the temporal basis functions. The marching-on-in-degree method is applied to solve the time-domain magnetic field integral equation and ensures the late-time stability. The formulas are derived and numerical results are evaluated. We also compared the traditional method which uses the low-order spatial basis functions with the method proposed which shows to be more accurate and needs fewer computational loads.

Keywords:

• time-domain
• BoR
• MFIE
• third-order Hermite polynomials
• Laguerre polynomial
• MOD
• transient surface current

Additional information

Funding

We gratefully acknowledge the National Natural Science Foundation of China [grant number 61471196] for generous financial support. This work was also supported by PLA General Armament Department Pre-research funding.