{"title":"Parametric characterization of vortex higher-order cosine-hyperbolic-Gaussian beams in free space","authors":"A. Ahlane, F. Khannous, Z. Hricha, A. Belafhal","doi":"10.1007/s11082-024-07933-z","DOIUrl":null,"url":null,"abstract":"<div><p>Based on the Collins formula and the moment’s method, the analytical expressions for the beam field propagation through an ABCD system, the beam propagation factor (M<sup>2</sup>-factor) and the kurtosis factor of a vortex higher-order cosine-hyperbolic-Gaussian beam (vHOChGB) are derived. It is shown that the propagation characteristics are determined by the beam structure parameters, such as the decentered parameter b, the cosh order N and the topological charge m. The kurtosis parameter is dependent, besides the structure beam parameters, on the propagation distance. Numerical examples are presented to discuss the influence of the parameters b, N and m on the propagation characteristics of vHOChGB in free space. This research may be beneficial to the applications involving vortex beams in optical communications, beam splitting, and micromanipulation of particles.</p></div>","PeriodicalId":720,"journal":{"name":"Optical and Quantum Electronics","volume":"57 1","pages":""},"PeriodicalIF":3.3000,"publicationDate":"2024-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11082-024-07933-z.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optical and Quantum Electronics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s11082-024-07933-z","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
Abstract
Based on the Collins formula and the moment’s method, the analytical expressions for the beam field propagation through an ABCD system, the beam propagation factor (M2-factor) and the kurtosis factor of a vortex higher-order cosine-hyperbolic-Gaussian beam (vHOChGB) are derived. It is shown that the propagation characteristics are determined by the beam structure parameters, such as the decentered parameter b, the cosh order N and the topological charge m. The kurtosis parameter is dependent, besides the structure beam parameters, on the propagation distance. Numerical examples are presented to discuss the influence of the parameters b, N and m on the propagation characteristics of vHOChGB in free space. This research may be beneficial to the applications involving vortex beams in optical communications, beam splitting, and micromanipulation of particles.
期刊介绍：
Optical and Quantum Electronics provides an international forum for the publication of original research papers, tutorial reviews and letters in such fields as optical physics, optical engineering and optoelectronics. Special issues are published on topics of current interest.
Optical and Quantum Electronics is published monthly. It is concerned with the technology and physics of optical systems, components and devices, i.e., with topics such as: optical fibres; semiconductor lasers and LEDs; light detection and imaging devices; nanophotonics; photonic integration and optoelectronic integrated circuits; silicon photonics; displays; optical communications from devices to systems; materials for photonics (e.g. semiconductors, glasses, graphene); the physics and simulation of optical devices and systems; nanotechnologies in photonics (including engineered nano-structures such as photonic crystals, sub-wavelength photonic structures, metamaterials, and plasmonics); advanced quantum and optoelectronic applications (e.g. quantum computing, memory and communications, quantum sensing and quantum dots); photonic sensors and bio-sensors; Terahertz phenomena; non-linear optics and ultrafast phenomena; green photonics.
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