Dispersive Perfectly Matched Layer and high order Absorbing Boundary Conditions for the computation of Quasinormal modes of open electromagnetic structures

TL;DR

This paper introduces dispersive perfectly matched layers and high-order absorbing boundary conditions to accurately compute quasinormal modes in open electromagnetic structures, addressing challenges from system losses and domain truncation.

Contribution

It presents novel dispersive PMLs and high-order ABCs tailored for quasinormal mode analysis in open electromagnetic systems.

Findings

Effective absorption of outgoing waves in simulations.

Enhanced accuracy in computing quasinormal modes.

Reduced reflections at computational boundaries.

Abstract

Resonances, also known as quasinormal modes (QNM) in the non-Hermitian case, play a ubiquitous role in all domains of physics ruled by wave phenomena, notably in continuum mechanics, acoustics, electrodynamics, and quantum theory. The non-Hermiticity arises from the system losses, whether they are material (Joule losses in electromagnetism) or linked to the openness of the problem (radiation losses). In this paper, we focus on the latter delicate matter when considering bounded computational domains mandatory when using e.g. Finite Elements. Dispersive perfectly matched layers and absorbing boundary conditions are studied.