Helmholtz Decomposition Based on Integral Equation Method for Electromagnetic Analysis

Abstract

Helmholtz decomposition (HD) is a vector analysis fundamental tool and plays an important role in electromagnetics (EM) and microwave engineering. Instead of applying HD to the EM solving process, this article proposes an integral equation based rigorous HD process to extract and analyze the known EM field. It provides much clearer insight into field coupling and radiation mechanism that is valuable to electromagnetic interference (EMI) and electromagnetic compatibility (EMC) analysis. Compared to the loop-tree based decomposition that is a quasi-HD, the proposed method is rigorous and frequency-independent. The algorithm verification and its application to coupling and resonating problems are presented. This method can provide a novel angle for the EM field analysis used in EMI/EMC, antennas, signal integrity, and relevant areas. © 2014 Wiley Periodicals, Inc.