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arXiv 1003.4168physics.optics
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用球面波函数计算法布里-珀罗谐振腔的精细结构

Calculating the Fine Structure of a Fabry-Perot Resonator using Spheroidal Wave Functions

Martin Zeppenfeld, Pepijn W. H. Pinkse

摘要:

一组新的矢量解麦克斯韦方程组的基础上的解决方案,在球坐标系中的波动方程允许激光束被描述超越傍轴近似。使用这些解决方案,使我们能够计算完整的一阶修正在短波长限制的本征模和本征频率的法布里-珀罗谐振腔与完美的导电镜。实验相关的影响进行了预测。根据傍轴近似退化的模式根据它们的总角动量分裂。这包括由于轨道角动量和自旋角动量之间的耦合引起的分裂。

英文摘要:

A new set of vector solutions to Maxwell's equations based on solutions to the wave equation in spheroidal coordinates allows laser beams to be described beyond the paraxial approximation. Using these solutions allows us to calculate the complete first-order corrections in the short-wavelength limit to eigenmodes and eigenfrequencies in a Fabry-Perot resonator with perfectly conducting mirrors. Experimentally relevant effects are predicted. Modes which are degenerate according to the paraxial approximation are split according to their total angular momentum. This includes a splitting due to coupling between orbital angular momentum and spin angular momentum.

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