Modal analysis of electromagnetic resonators: MAN software expansion to 2D materials, Fano parameters, and coupled systems

We present Version 9 of the freeware MAN (Modal Analysis of Nanoresonators) [doi.org/10.1016/j.cpc.2022.108627], a software package for computing, normalizing, and exploiting quasinormal modes (QNMs) to analyze the optical response of electromagnetic resonators. This release substantially extends the capabilities of the original software through three major developments. First, it introduces dedicated models and numerical tools for resonators incorporating two-dimensional materials, including graphene, using a surface-conductivity formulation.

Second, it implements a coupled-QNM formalism that computes the complex coupling coefficients between resonator modes directly from the QNMs of the individual resonators. Unlike conventional coupled-mode theory, where these coefficients are often introduced phenomenologically or determined by fitting, MAN evaluates them rigorously from first principles. Third, it provides post-processing tools that determine the Fano parameters governing extinction spectra directly from the computed QNM field distributions.