Efficient rational approximation of optical response functions with the AAA algorithm

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.

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Cited by in corpus (4)

• Resonance modes in microstructured photonic waveguides: Efficient and accurate computation based on AAA rational approximation
• A framework to compute resonances arising from multiple scattering
• Uncovering hidden resonances in non-Hermitian systems with scattering thresholds
• A scalar product for the radiation of resonant modes