Eigenvalue-accelerated LDOS optimization of high-Q optical resonances
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914351439413248 |
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| author | Shaker, George Jokisch, Beñat Martinez de Aguirre Chao, Pengning Johnson, Steven G. |
| author_facet | Shaker, George Jokisch, Beñat Martinez de Aguirre Chao, Pengning Johnson, Steven G. |
| contents | 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 $Q \gg 100$. Our method is demonstrated by design of $Q > 10^6$ resonant cavities in 1d and 2d dielectric systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_16643 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Eigenvalue-accelerated LDOS optimization of high-Q optical resonances Shaker, George Jokisch, Beñat Martinez de Aguirre Chao, Pengning Johnson, Steven G. Optics Computational Physics 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 $Q \gg 100$. Our method is demonstrated by design of $Q > 10^6$ resonant cavities in 1d and 2d dielectric systems. |
| title | Eigenvalue-accelerated LDOS optimization of high-Q optical resonances |
| topic | Optics Computational Physics |
| url | https://arxiv.org/abs/2511.16643 |