{"title":"Adjustable anomalous hollow Hermite elliptical vortex beam and its properties","authors":"Siqi Wang, Dajun Liu, Yaochuan Wang, Haiyang Zhong","doi":"10.1007/s10946-026-10303-7","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we have introduced a new beam with elliptical vortex named adjustable anomalous hollow Hermite elliptical vortex beam (AAHHVEB), and the expression of such AAHHVEB consists of adjustable anomalous part, elliptical Gaussian part and elliptical vortex part. Under the paraxial propagation, the intensity of such AAHHVEB can show the different profiles, such as multi-spots pattern, or the elliptical ring shape. The propagation equation of such AAHHVEB in (gradient-index) GRIN medium is derived, and the evolution of such AAHHVEB in GRIN medium is analyzed. It is shown that the intensity pattern of such AAHHVEB in GRIN will show the periodic focusing and defocusing phenomenon during propagation, and the intensity profiles of such AAHHVEB in GRIN medium are modulated by parameters of beam and GRIN medium.</p></div>","PeriodicalId":663,"journal":{"name":"Journal of Russian Laser Research","volume":"47 4","pages":"308 - 316"},"PeriodicalIF":1.0000,"publicationDate":"2026-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Russian Laser Research","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10946-026-10303-7","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"OPTICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we have introduced a new beam with elliptical vortex named adjustable anomalous hollow Hermite elliptical vortex beam (AAHHVEB), and the expression of such AAHHVEB consists of adjustable anomalous part, elliptical Gaussian part and elliptical vortex part. Under the paraxial propagation, the intensity of such AAHHVEB can show the different profiles, such as multi-spots pattern, or the elliptical ring shape. The propagation equation of such AAHHVEB in (gradient-index) GRIN medium is derived, and the evolution of such AAHHVEB in GRIN medium is analyzed. It is shown that the intensity pattern of such AAHHVEB in GRIN will show the periodic focusing and defocusing phenomenon during propagation, and the intensity profiles of such AAHHVEB in GRIN medium are modulated by parameters of beam and GRIN medium.
期刊介绍：
The journal publishes original, high-quality articles that follow new developments in all areas of laser research, including:
laser physics;
laser interaction with matter;
properties of laser beams;
laser thermonuclear fusion;
laser chemistry;
quantum and nonlinear optics;
optoelectronics;
solid state, gas, liquid, chemical, and semiconductor lasers.
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