2025/11/20 by Shaker, George, Jokisch, Beñat Martinez de Aguirre, Chao, Pengning +1
#Computational Physics (physics.comp-ph) #FOS: Physical sciences #Optics (physics.optics)
paper · doi:10.48550/arxiv.2511.16643
We demonstrate a new method that yields orders-of-magnitude acceleration in inverse design (e.g. topology optimization) of high-Q 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 Q ≫ 100. Our method is demonstrated by design of Q > 106 resonant cavities in 1d and 2d dielectric systems.