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arXiv 1105.4071physics.optics
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沟道上非线性微腔的耦合模理论

Coupled mode theory for on-channel nonlinear microcavities

Victor Grigoriev, Fabio Biancalana

摘要:

我们考虑一个非线性微腔,它将波导通道分成两部分,使得它们之间的耦合仅由于微腔的谐振特性而成为可能。我们提供了一个严格的推导方程中使用的唯象耦合模理论,这样的系统。这使我们能够找到明确的公式,所有的拟合参数,如衰减率,耦合系数和特征强度的模式配置文件。讨论了半解析方法的优点,并与严格数值方法的结果进行了比较。特别注意的是多层结构,因为它们代表了最简单的实现通道上的微腔。

英文摘要:

We consider a nonlinear microcavity separating a waveguide channel into two parts so as the coupling between them is possible only due to the resonant properties of the microcavity. We provide a rigorous derivation of the equations used in the phenomenological coupled mode theory for such systems. This allows us to find the explicit formulas for all fitting parameters such as decay rates, coupling coefficients and characteristic intensities in terms of the mode profiles. The advantages of using the semi-analytical approach are discussed, and the accuracy of the results is compared with the strictly numerical methods. A particular attention is paid to multilayered structures since they represent the simplest realization of on-channel microcavities.

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