In a recent paper, Klaseboer et al. (IEEE Trans. Antennas Propag., vol. 65, no. 2, pp. 972-977, Feb. 2017) developed a surface integral formulation of electromagnetics that does not require working with integral equations that have singular kernels. Instead of solving for the induced surface currents, the method involves surface integral solutions for 4 coupled Helmholtz equations: 3 for each Cartesian component of the electric E field plus 1 for the scalar function r*E on the surface of scatterers. Here we improve on this approach by advancing a formulation due to Yuffa et al. (IEEE Trans.Antennas Propag., vol. 66, no. 10, pp. 5274-5281, Oct. 2018) that solves for E and its normal derivative. Apart from a 25% reduction in problem size, the normal derivative of the field is often of interest in micro-photonic applications.
@article{arxiv.1901.01602,
title = {Efficient Field-Only Surface Integral Equations for Electromagnetics},
author = {Derek Y. C. Chan and Alex J. Yuffa and Evert Klaseboer and Qiang Sun},
journal= {arXiv preprint arXiv:1901.01602},
year = {2024}
}
Comments
Please note that this arXiv version includes only preliminary and partial results. The complete paper, which addresses scattering from Perfect Electrical Conductors using the field-only non-singular surface integral method, has been published and can be found at doi.org/10.1364/JOSAA.378665. The corresponding complete arXiv version is available at arXiv:1909.11772