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<p>In this paper, we have introduced a&#xa0;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>

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Adjustable anomalous hollow Hermite elliptical vortex beam and its properties

  • 期刊论文

  • 发表日期：

    2026年5月6日

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  • Siqi Wang,
  • Dajun Liu,
  • Yaochuan Wang,
  • Haiyang Zhong

摘要

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.