English

Efficient rational approximation of optical response functions with the AAA algorithm

Optics 2024-11-12 v1 Mesoscale and Nanoscale Physics Computational Physics

Abstract

We introduce a theoretical framework for the rational approximation of optical response functions in resonant photonic systems. The framework is based on the AAA algorithm and further allows to solve the underlying nonlinear eigenproblems and to efficiently model sensitivities. An adaptive sampling strategy exploits the predominance of resonances in the physical response. We investigate a chiral metasurface and show that the chiroptical response on parameter variations can be accurately modeled in the vicinity of the relevant resonance frequencies.

Keywords

Cite

@article{arxiv.2403.19404,
  title  = {Efficient rational approximation of optical response functions with the AAA algorithm},
  author = {Fridtjof Betz and Martin Hammerschmidt and Lin Zschiedrich and Sven Burger and Felix Binkowski},
  journal= {arXiv preprint arXiv:2403.19404},
  year   = {2024}
}
R2 v1 2026-06-28T15:37:06.951Z