AI 中文总结
研究拉盖尔-高斯模式在湍流中的稳定性，发现高径向指数模式横向畸变小，可筛选抗湍流模式，并推导接收孔径与指数的解析关系。
AI 中文摘要
本文探讨了对大气湍流最敏感的拉盖尔-高斯模式的选择性抑制。将这些模式分解为正交Zernike多项式基，揭示了稳定性的显著差异取决于径向和方位角指数。我们证明，具有较高径向指数的模式表现出最小的横向光束轮廓畸变，为在湍流介质中过滤掉较弱模式提供了明确标准。此外，我们推导了所需接收孔径与径向和方位角指数相关的解析表达式。
英文摘要
This paper explores the selective suppression of Laguerre-Gaussian modes that are most vulnerable to atmospheric turbulence. Decomposing these modes into an orthogonal Zernike polynomial basis reveals significant differences in stability depending on the radial and azimuthal indices. We demonstrate that modes with a higher radial index exhibit minimal distortion of the transverse beam profile, providing a clear criterion for filtering out less resilient modes in turbulent media. Furthermore, we derive an analytical expression relating the required receiver aperture to the radial and azimuthal indices.
Comments13 pages, 1 figure, 1 table
