高斯多项式与涡旋-高斯光束作为完备的横向受限基
光学
2018-02-27 v1
摘要
提出了一种用于傍轴光束的新型离散基，由径向变量中的单态涡旋乘以高斯多项式构成。这些基的显著特性是其元素的有效尺寸大致与阶数无关，意味着展开局域化场的最优缩放不显著依赖于截断阶数。该行为不同于由多项式乘以高斯构成的基（如厄米-高斯与拉盖尔-高斯模式），后者的缩放大致随截断阶数的平方根倒数变化。
引用
@article{arxiv.1802.09132,
title = {Polynomials of Gaussians and vortex-Gaussian beams as complete, transversely confined bases},
author = {Rodrigo Gutiérrez-Cuevas and Miguel A. Alonso},
journal= {arXiv preprint arXiv:1802.09132},
year = {2018}
}
备注
4 pages, 5 figures, \c{opyright} 2017 Optical Society of America. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modifications of the content of this paper are prohibited