Borghi R
Dipartimento di Ingegneria Elettronica, Università degli Studi Roma Tre, Rome, Italy.
J Opt Soc Am A Opt Image Sci Vis. 2001 Jul;18(7):1627-33. doi: 10.1364/josaa.18.001627.
A new superposition scheme for representing flattened Gaussian (FG) beams is proposed. Such a representation, unlike the original proposed by Gori [Opt. Commun. 107, 335 (1994)], is based on an expansion in terms of the so-called elegant Laguerre-Gaussian beams. This new representation allows us to obtain the closed-form expression of a FG beam of any order propagating through a paraxial ABCD optical system by means of a simple recurrence rule, which turns out to be particularly stable even when it is applied to FG beams of very high orders (> 10(4)).
提出了一种用于表示平顶高斯（FG）光束的新叠加方案。与戈里最初提出的方案[《光学通讯》107, 335 (1994)]不同，这种表示基于所谓的优美拉盖尔 - 高斯光束展开。这种新表示使我们能够通过一个简单的递推规则获得任意阶FG光束在傍轴ABCD光学系统中传播的闭式表达式，即使将其应用于非常高阶（> 10⁴）的FG光束时，该递推规则也特别稳定。
