{"title":"Scalar potential for representing the topology of electromagnetic beams.","authors":"W Scott Raburn, Greg Gbur","doi":"10.1364/JOSAA.590091","DOIUrl":null,"url":null,"abstract":"<p><p>It was established by Green and Wolf in 1953 that an electromagnetic wave can be characterized by a complex scalar potential, including its energy and momentum densities. In this paper, we show that, for electromagnetic beams, this scalar potential can be used to fully describe the beam's topology. We further demonstrate that this scalar potential can be used to characterize a partially coherent vector beam, and introduce a set of scalar Stokes-like parameters for this purpose.</p>","PeriodicalId":17382,"journal":{"name":"Journal of The Optical Society of America A-optics Image Science and Vision","volume":"43 4","pages":"602-609"},"PeriodicalIF":1.5000,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of The Optical Society of America A-optics Image Science and Vision","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1364/JOSAA.590091","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"OPTICS","Score":null,"Total":0}
引用次数: 0
Abstract
It was established by Green and Wolf in 1953 that an electromagnetic wave can be characterized by a complex scalar potential, including its energy and momentum densities. In this paper, we show that, for electromagnetic beams, this scalar potential can be used to fully describe the beam's topology. We further demonstrate that this scalar potential can be used to characterize a partially coherent vector beam, and introduce a set of scalar Stokes-like parameters for this purpose.
期刊介绍:
The Journal of the Optical Society of America A (JOSA A) is devoted to developments in any field of classical optics, image science, and vision. JOSA A includes original peer-reviewed papers on such topics as:
* Atmospheric optics
* Clinical vision
* Coherence and Statistical Optics
* Color
* Diffraction and gratings
* Image processing
* Machine vision
* Physiological optics
* Polarization
* Scattering
* Signal processing
* Thin films
* Visual optics
Also: j opt soc am a.