期刊
OPTICS EXPRESS
卷 13, 期 16, 页码 5961-5975出版社
OPTICAL SOC AMER
DOI: 10.1364/OPEX.13.005961
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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 similar to(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. (C) 2005 Optical Society of America.
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