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General Recipe for Designing Photonic Crystal Cavities

Dirk Englund·Ilya Fushman·Jelena Vuckovic
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Abstract

We describe a general recipe for designing high-quality factor (Q) photonic crystal cavities with small mode volumes. We first derive a simple expression for out-of-plane losses in terms of the k-space distribution of the cavity mode. Using this, we select a field that will result in a high Q. We then derive an analytical relation between the cavity field and the dielectric constant along a high symmetry direction, and use it to confine our desired mode. By employing this inverse problem approach, we are able to design photonic crystal cavities with Q > 4*10^6 and mode volumes V ~ (λ/n)^3. Our approach completely eliminates parameter space searches in photonic crystal cavity design, and allows rapid optimization of a large range of photonic crystal cavities. Finally, we study the limit of the out-of-plane cavity Q and mode volume ratio.

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Dirk Englund, Ilya Fushman, Jelena Vuckovic. 2005-07-21. General Recipe for Designing Photonic Crystal Cavities. https://doi.org/10.1364/opex.13.005961

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