General Recipe for Designing Photonic Crystal Cavities

Details General Recipe for Designing Photonic Crystal Cavities General Recipe for Designing Photonic Crystal Cavities

2005-07-20

arxiv.org/abs/physics/0507156v2

Physics

Optics

15 pages. A version with higher quality figures can be found at http://www.stanford.edu/group/nqp/jv_files/publications.html

Scientific paper

10.1364/OPEX.13.005961

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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