直角坐标系中光束传输的完全限制基
Complete confined bases for beam propagation in Cartesian coordinates
摘要：
完整的基地，是有用的光束传输问题，并提出了独特的属性被空间限制在初始平面。这些基是根据高斯多项式构造的，与标准的替代方案相反，例如由高斯乘以多项式给出的厄米-高斯基。空间约束的性质意味着，对于所有的基本元素，在初始平面的空间范围大致相同。这个属性导致一个最佳的尺度参数，是独立的截断阶的拟合的一个封闭的初始字段。由于它们的形式为高斯的组合，这些基本元素的傍轴传播可以解析地建模。
英文摘要：
Complete bases that are useful for beam propagation problems and that present the distinct property of being spatially confined at the initial plane are proposed. These bases are constructed in terms of polynomials of Gaussians, in contrast with standard alternatives such as the Hermite-Gaussian basis that are given by a Gaussian times a polynomial. The property of spatial confinement implies that, for all basis elements, the spatial extent at the initial plane is roughly the same. This property leads to an optimal scaling parameter that is independent of truncation order for the fitting of a confined initial field. Given their form as combinations of Gaussians, the paraxial propagation of these basis elements can be modeled analytically.
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