In the past years weakly deformed optical microdisks have become a focus for fundamental and applied research with lots of interesting new findings. A commonly used method to study such cavities is a perturbation theory based on weak boundary deformations (Dubertrand et al 2008 Phys. Rev. A 77, 013 804). In this paper we extent the perturbation theory to the third order which allows us to improve its accuracy significantly. We discuss various example systems in regard of Q-spoiling, frequency splitting, and far-field emission pattern. The results from the perturbation theory are in a very good agreement to full numerical simulations.

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微变形光盘：横向磁模式的三阶微扰理论

在过去的几年中，微变形光盘已经成为基础和应用研究的重点，并获得了许多有趣的新发现。通常使用的方法来研究这样的腔是基于弱边界变形微扰理论（Dubertrand等人2008物理评论甲77，013 804）。在本文中，我们将扰动理论扩展到三阶，这使我们能够显着提高其精度。我们讨论有关Q频散，频率分裂和远场发射模式的各种示例系统。摄动理论的结果与完整的数值模拟非常吻合。