dorsal/arxiv
View SchemaGeneral Recipe for Designing Photonic Crystal Cavities
| Authors | Dirk Englund, Ilya Fushman, Jelena Vuckovic |
|---|---|
| Categories | |
| ArXiv ID | physics/0507156 |
| URL | https://arxiv.org/abs/physics/0507156 |
| DOI | 10.1364/OPEX.13.005961 |
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 ~ (\lambda/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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"abstract": "We describe a general recipe for designing high-quality factor (Q) photonic\ncrystal cavities with small mode volumes. We first derive a simple expression\nfor out-of-plane losses in terms of the k-space distribution of the cavity\nmode. Using this, we select a field that will result in a high Q. We then\nderive an analytical relation between the cavity field and the dielectric\nconstant along a high symmetry direction, and use it to confine our desired\nmode. By employing this inverse problem approach, we are able to design\nphotonic crystal cavities with Q \u003e 4*10^6 and mode volumes V ~ (\\lambda/n)^3.\nOur approach completely eliminates parameter space searches in photonic crystal\ncavity design, and allows rapid optimization of a large range of photonic\ncrystal cavities. Finally, we study the limit of the out-of-plane cavity Q and\nmode volume ratio.",
"arxiv_id": "physics/0507156",
"authors": [
"Dirk Englund",
"Ilya Fushman",
"Jelena Vuckovic"
],
"categories": [
"physics.optics",
"physics.comp-ph"
],
"doi": "10.1364/OPEX.13.005961",
"title": "General Recipe for Designing Photonic Crystal Cavities",
"url": "https://arxiv.org/abs/physics/0507156"
},
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