Maximizing the quality factor to mode volume ratio for ultra-small photonic crystal cavities

2018/10/31 by Fengwen Wang, Rasmus Ellebæk Christiansen, Rasmus E. Christiansen +3 · 117 citations
Engineering · Materials Science · Physics and Astronomy · #Composite material #Computer science #Materials science #Mode (computer interface) #Mode volume #Optical Coatings and Gratings #Optics #Optoelectronics #Photonic Crystals and Applications #Photonic and Optical Devices #Photonic crystal #Photonics #Physics #Q factor #Quality (philosophy) #Volume (thermodynamics) #physics.optics

paper · pdf · doi:10.1063/1.5064468

published in Applied Physics Letters 113(24) (American Institute of Physics)

openalex created_date 2018/10/12 · openalex publication_date 2018/12/10 · arxiv created 2018/12/18 · arxiv updated 2018/12/19 · openalex updated_date 2026/08/05

Abstract

Small manufacturing-tolerant photonic crystal cavities are systematically designed using topology optimization to enhance the ratio between quality factor and mode volume, Q/V. For relaxed manufacturing tolerance, a cavity with bow-tie shape is obtained which confines light beyond the diffraction limit into a deep-subwavelength volume. Imposition of a small manufacturing tolerance still results in efficient designs, however, with diffraction-limited confinement. Inspired by numerical results, an elliptic ring grating cavity concept is extracted via geometric fitting. Numerical evaluations demonstrate that for small sizes, topology-optimized cavities enhance the Q/V-ratio by up to two orders of magnitude relative to standard L1 cavities and more than one order of magnitude relative to shape-optimized L1 cavities. An increase in cavity size can enhance the Q/V-ratio by an increase of the Q-factor without significant increase of V. Comparison between optimized and reference cavities illustrates that significant reduction of V requires big topological changes in the cavity.

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