Manufactured Solutions for an Electromagnetic Slot Model

TL;DR

This paper develops methods to accurately verify the numerical implementation of electromagnetic slot models using surface integral equations, addressing complex error sources for improved computational electromagnetics modeling.

Contribution

It introduces approaches to separately measure and assess numerical errors in method-of-moments electric-field integral equation implementations with slot models.

Findings

Effective error measurement approaches demonstrated across various cases.

Enhanced verification of electromagnetic penetration models.

Improved confidence in computational electromagnetics simulations.

Abstract

The accurate modeling of electromagnetic penetration is an important topic in computational electromagnetics. Electromagnetic penetration occurs through intentional or inadvertent openings in an otherwise closed electromagnetic scatterer, which prevent the contents from being fully shielded from external fields. To efficiently model electromagnetic penetration, aperture or slot models can be used with surface integral equations to solve Maxwell's equations. A necessary step towards establishing the credibility of these models is to assess the correctness of the implementation of the underlying numerical methods through code verification. Surface integral equations and slot models yield multiple interacting sources of numerical error and other challenges, which render traditional code-verification approaches ineffective. In this paper, we provide approaches to separately measure the numerical errors arising from these different error sources for the method-of-moments implementation of the electric-field integral equation with a slot model. We demonstrate the effectiveness of these approaches for a variety of cases.