Computation of eigenfrequency sensitivities using Riesz projections for efficient optimization of nanophotonic resonators
Computational Physics
2022-08-11 v2 Optics
Abstract
Resonances are omnipresent in physics and essential for the description of wave phenomena. We present an approach for computing eigenfrequency sensitivities of resonances. The theory is based on Riesz projections and the approach can be applied to compute partial derivatives of the complex eigenfrequencies of any resonance problem. Here, the method is derived for Maxwell's equations. Its numerical realization essentially relies on direct differentiation of scattering problems. We use a numerical implementation to demonstrate the performance of the approach compared to differentiation using finite differences. The method is applied for the efficient optimization of the quality factor of a nanophotonic resonator.
Keywords
Cite
@article{arxiv.2203.11101,
title = {Computation of eigenfrequency sensitivities using Riesz projections for efficient optimization of nanophotonic resonators},
author = {Felix Binkowski and Fridtjof Betz and Martin Hammerschmidt and Philipp-Immanuel Schneider and Lin Zschiedrich and Sven Burger},
journal= {arXiv preprint arXiv:2203.11101},
year = {2022}
}