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arXiv 0901.0289physics.opticsphysics.class-ph
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Fabry-Pérot腔中轨道Angular Momentum模混合的简并微扰理论

Degenerate Perturbation Theory Describing the Mixing of Orbital Angular Momentum Modes in Fabry-Pérot Cavity Resonators

David H. Foster, Andrew K. Cook, Jens U. Nöckel

摘要:

我们提出了一个解析微扰理论,扩展了一个共同的圆柱对称稳定的光学谐振腔的傍轴近似,并纳入了差分,偏振相关的布拉格反射镜的反射率。具有不同的轨道角动量(OAM)和偏振,但相同的横向阶数N的拉盖尔-高斯模式的简并性将在足够小的尺寸和高精细度下变得显著提升。由此产生的傍轴本征模具有两个不同的OAM组件,分数组成微妙地取决于镜结构。

英文摘要:

We present an analytic perturbation theory which extends the paraxial approximation for a common cylindrically symmetric stable optical resonator and incorporates the differential, polarization-dependent reflectivity of a Bragg mirror. The degeneracy of Laguerre-Gauss modes with distinct orbital angular momentum (OAM) and polarization, but identical transverse order N, will become observably lifted at sufficiently small size and high finesse. The resulting paraxial eigenmodes possess two distinct OAM components, the fractional composition subtly depending on mirror structure.

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