Eigenvalue-accelerated LDOS optimization of high- Q optical resonances
Abstract
We demonstrate what is believed to be 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 > 10 6 resonant cavities in 1d and 2d dielectric systems.
Fields of Study & Subjects
Photonic and Optical Devices
Photorefractive and Nonlinear Optics
Quantum Information and Cryptography
Publication details
- Journal / source
- Optics Express
- Publisher
- Optica Publishing Group
- Volume
- 34
- Issue
- 5
- Pages
- 7629–7629
- Publication date
- 12 January 2026
- Language
- EN