Chabou Saoussene, Bencheikh Abdelhalim
Appl Opt. 2020 Nov 10;59(32):9999-10006. doi: 10.1364/AO.406271.
Alongside the well-known solutions of standard beams, elegant Gaussian beams (eGBs) have been presented as alternative solutions to the paraxial wave equation. In this work, we show that the eGBs in cartesian (elegant Hermite-Gauss) and cylindrical (elegant Laguerre-Gauss) coordinates are asymptotically equivalent to pseudo-nondiffracting beams (pNDBs) in the same coordinates (cosine-Gauss and Bessel-Gauss, respectively). A theoretical comparison of their intensity distributions at different planes without and with obstruction is given, allowing to revisit and discuss the diffraction-free nature and self-healing property. The obtained results demonstrate that both families of beams are indistinguishable and have similar propagation features, which means that the eGBs class can be used as an alternative to pNDBs.
除了标准光束的著名解之外，优雅高斯光束（eGBs）已作为傍轴波动方程的替代解被提出。在这项工作中，我们表明笛卡尔坐标系（优雅厄米 - 高斯）和柱坐标系（优雅拉盖尔 - 高斯）中的eGBs分别与相同坐标系中的伪无衍射光束（pNDBs）（余弦 - 高斯和贝塞尔 - 高斯）渐近等效。给出了它们在有无障碍物情况下不同平面上强度分布的理论比较，从而可以重新审视和讨论无衍射特性和自愈特性。所得结果表明，这两类光束难以区分且具有相似的传播特性，这意味着eGBs类可作为pNDBs的替代。
