A novel implementation of symmetric boundary condition in harmonic and transient analysis of electromagnetic wave propagation

TL;DR

This paper introduces a new method for implementing symmetric boundary conditions in electromagnetic FEM analysis, significantly reducing computational costs in harmonic and transient simulations.

Contribution

A novel approach for symmetric boundary condition implementation in potential formulation within the nodal framework for electromagnetic analysis.

Findings

Reduced computational cost in harmonic analysis

Effective implementation in transient analysis

Applicable to radiation and scattering problems

Abstract

While doing electromagnetic analysis using FEM (Finite element method), if we can implement the underlying symmetric nature of the problem, there will be significant reduction in the computational cost. Symmetric nature of the problem can be identified from the given physical loading and boundary conditions of the problem. But for electromagnetic analysis in potential formulation, it is not very straight forward to implement the symmetric boundary condition. In the present work, a novel implementation of symmetric boundary condition in potential formulation within nodal framework, has been demonstrated. The implementation has been carried out in both electromagnetic harmonic and transient analysis for a wide range of radiation and scattering problems. A significant reduction in computational cost is achieved as compared to the existing formulation.