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arXiv physics/0507156physics.opticsphysics.comp-ph
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光子晶体腔的通用设计方法

General Recipe for Designing Photonic Crystal Cavities

Dirk Englund, Ilya Fushman, Jelena Vuckovic

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

提出了一种设计高品质因数小模体积光子晶体腔的一般方法.首先，我们推导出一个简单的表达式的腔模式的k空间分布的平面外的损失。使用这个，我们选择一个将导致高Q的场。然后，我们推导出沿高对称方向的腔场和介电常数之间的解析关系，并使用它来限制我们想要的模式。利用这种反问题方法，我们可以设计出Q > 4* 10 ^6、模体积V ~（λ/n）^3的光子晶体腔。该方法完全消除了光子晶体谐振腔设计中的参数空间搜索，并允许快速优化大范围的光子晶体谐振腔。最后，我们研究了离面腔Q和模体积比的极限。

英文摘要：

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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