Paraxial propagation of Mathieu beams through an apertured ABCD optical system

Propagation Properties of Finite Olver-Gaussian Beams Passing through a Paraxial ABCD Optical System

“…Among them, Belafhal and DalilEssakkali [7] have investigated the propagation characteristics of the Bessel-Gaussian and the Quadrature BesselGaussian beams through an ABCD optical system. The Mathieu modulated by Gaussian and flattened Gaussian beams through aligned, misaligned optical systems and turbulent media have been examined theoretically and numerically by many authors [13] [14]. In 2004, Bandres et al [18] and López-Mariscal et al [19] have analyzed the features of the nondiffracting parabolic beams theoretically and experimentally, respectively.…”

Scattering of Mathieu beams by a rigid sphere

“…Especially, Mathieu beams have attracted much attention in optics since they have been introduced in 2000 by Gutiérrez-Vega et al [5,6]. So, many works in studying propagation properties of these beams through various optical systems have been investigated [7][8][9]. Many applications of these beams have been also proposed in various domains such as photonic lattices, transfer of angular moments and localized X waves among others.…”

Experimental Generation of Quasi-Zero-Order Mathieu-Gauss Beams via Diffractive Elements in THz Domain

“…Any non-diffracting beams can be represented as superposition of a group of plane waves whose vectors exist in the form of cone. Based on solutions of Helmholtz equation in terms of Whittaker integral [28], the fields can be expressed as follows:…”