2020/08/30 by Qingqing Zhao, Zhao, Qingqing, Lang Zhang +3
Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #Optics (physics.optics)
paper · pdf · doi:10.48550/arxiv.2008.13241
openalex publication_date 2020/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that global lower bounds to the mode volume of a dielectric resonator can be computed via Lagrangian duality. State-of-the-art designs rely on sharp tips, but such structures appear to be highly sub-optimal at nanometer-scale feature sizes, and we demonstrate that computational inverse design offers orders-of-magnitude possible improvements. Our bound can be applied for geometries that are simultaneously resonant at multiple frequencies, for high-efficiency nonlinear-optics applications, and we identify the unavoidable penalties that must accompany such multiresonant structures.