Abstract We present numerical results on the diffraction produced by optical gratings in the Raman–Nath, Bragg and intermediate regimes calculated by means of the Fresnel Gaussian Shape Invariant. We describe how this numerical method based on a superposition of Gaussian wavelets, allows propagating, in an iterative manner within the grating, the illuminating beams, providing accurate calculations of the diffractive orders. We also include results due to a truncated, non-diffractive Airy illuminating beam.

中文翻译：

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菲涅尔高斯形状不变量应用于光学衍射光栅计算

摘要 我们给出了通过菲涅耳高斯形状不变量计算的拉曼-内斯、布拉格和中间区域中光栅产生的衍射的数值结果。我们描述了这种基于高斯小波叠加的数值方法如何允许在光栅内以迭代方式传播照明光束，从而提供衍射级的准确计算。我们还包括由于截断的非衍射艾里照明光束造成的结果。