拉盖尔-高斯截断级数展开法的应用
Application of Laguerre-Gauss truncated series expansion
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摘要: 用拉盖尔-高斯截断级数模拟了任意半径的圆孔硬边光阑窗口函数,并应用于研究高斯光束和零阶贝塞尔-高斯光束通过硬边光阑的衍射。对高斯光束和零阶贝塞尔-高斯光束的轴向和横向光强分布的计算结果表明:当积分面不是很靠近光阑时,用参数最佳化选取的拉盖尔-高斯截断级数法与用直接数值积分所得结果符合很好。
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关键词:
- 激光光学 /
- 拉盖尔-高斯截断级数 /
- 硬边光阑衍射 /
- 高斯光束 /
- 零阶贝塞尔-高斯光束
Abstract: The window function of circular hard-edge apertures is simulated and optimized by the Laguerre-Gauss truncated series, and applied to study the diffraction of Gaussian beams and 0-order Bessel-Gaussian beams by the hard-edge aperture. The results of the axial and transversal intensity distributions of Gaussian beams and 0-order Bessel-Gaussian beams show that the results by the optimized Laguerre-Gaussian truncated series are in good agreement with those by the Fresnel diffraction integral method if the integration plane is not close to the aperture.
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