Eigenvalue-accelerated LDOS optimization of high-Q optical resonances
Optics
2026-02-27 v1 Computational Physics
Abstract
We demonstrate a new method that yields orders-of-magnitude acceleration in inverse design (e.g. topology optimization) of high- resonant cavities to maximize the local density of states (LDOS), and which is also applicable to other resonant-response metrics. The key idea is that, once conventional LDOS optimization has identified a strong resonance, subsequent optimizations can exploit a fast shift-invert eigensolver to ensure that the LDOS remains centered at the resonance peak. We show that this eliminates ill-conditioning at sharp resonances that otherwise dramatically slows LDOS (and similar) optimization for . Our method is demonstrated by design of resonant cavities in 1d and 2d dielectric systems.
Cite
@article{arxiv.2511.16643,
title = {Eigenvalue-accelerated LDOS optimization of high-Q optical resonances},
author = {George Shaker and Beñat Martinez de Aguirre Jokisch and Pengning Chao and Steven G. Johnson},
journal= {arXiv preprint arXiv:2511.16643},
year = {2026}
}