Mengyuan Guo, Kaixin Wu, Wenhui Yang, Yan Yang, Huilong Liu
{"title":"Circularly symmetric Hermite-Gaussian correlated Schell-model beam","authors":"Mengyuan Guo, Kaixin Wu, Wenhui Yang, Yan Yang, Huilong Liu","doi":"10.1007/s12648-024-03402-1","DOIUrl":null,"url":null,"abstract":"<p>We introduce a novel class of random stationary, scalar source for producing far field with ring-shaped intensity profile, named as circularly symmetric Hermite-Gaussian correlated Schell-model (CSHGCSM) source. The analytical expressions for the cross-spectral density (CSD) function of a CSHGCSM beam propagating in free space and in linear isotropic random media are derived, respectively. It is shown that the CSHGCSM beam exhibits a robust ring-shaped profile in far field, and three-dimensionally (3D) optical cage could be obtained when the CSHGCSM beam focused by a thin lens. The optical cage length is dependent on parameters of mode order <i>n</i>, transverse coherence width <i>δ</i>, focal length <i>f</i>, and beam wavelength <i>λ</i>. Furthermore, it is demonstrated that the CSHGCSM beam propagating in linear random media at small distance from the source exhibits annular profile, then converts into Gaussian beam as the propagation distance increases. There is a phenomenon of regenerative oscillation for the spectral degree of coherence (SDOC) of the CSHGCSM beam in the presence of random media.</p>","PeriodicalId":584,"journal":{"name":"Indian Journal of Physics","volume":null,"pages":null},"PeriodicalIF":1.6000,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indian Journal of Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1007/s12648-024-03402-1","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
We introduce a novel class of random stationary, scalar source for producing far field with ring-shaped intensity profile, named as circularly symmetric Hermite-Gaussian correlated Schell-model (CSHGCSM) source. The analytical expressions for the cross-spectral density (CSD) function of a CSHGCSM beam propagating in free space and in linear isotropic random media are derived, respectively. It is shown that the CSHGCSM beam exhibits a robust ring-shaped profile in far field, and three-dimensionally (3D) optical cage could be obtained when the CSHGCSM beam focused by a thin lens. The optical cage length is dependent on parameters of mode order n, transverse coherence width δ, focal length f, and beam wavelength λ. Furthermore, it is demonstrated that the CSHGCSM beam propagating in linear random media at small distance from the source exhibits annular profile, then converts into Gaussian beam as the propagation distance increases. There is a phenomenon of regenerative oscillation for the spectral degree of coherence (SDOC) of the CSHGCSM beam in the presence of random media.
期刊介绍:
Indian Journal of Physics is a monthly research journal in English published by the Indian Association for the Cultivation of Sciences in collaboration with the Indian Physical Society. The journal publishes refereed papers covering current research in Physics in the following category: Astrophysics, Atmospheric and Space physics; Atomic & Molecular Physics; Biophysics; Condensed Matter & Materials Physics; General & Interdisciplinary Physics; Nonlinear dynamics & Complex Systems; Nuclear Physics; Optics and Spectroscopy; Particle Physics; Plasma Physics; Relativity & Cosmology; Statistical Physics.