Scholarlink

<p>In this paper, a theoretical investigation of the propagation of standard Laguerre–Gaussian (sLG) and elegant Laguerre–Gaussian (eLG) vortex beams through a gradient-index (GRIN) medium is presented. The analysis is conducted using the extended Huygens-Fresnel principle, with analytical expressions employed to describe the intensity of Laguerre–Gaussian (LG) vortex beams propagating through ABCD optical systems. The results indicate that sLG beams exhibit a more pronounced ring-like structure and greater divergence, whereas eLG beams maintain a more confined intensity profile and enhanced stability, particularly at higher mode orders. Furthermore, the orbital angular momentum (OAM) density is found to be more spatially localised for eLG beams. The superior beam quality of eLG beams is attributed to their distinctive intensity distribution, which leads to reduced diffraction-induced divergence and enhanced beam shaping capabilities. These properties suggest that eLG beams may be advantageous in applications requiring high stability and precise intensity control.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Propagation of standard and elegant Laguerre–Gaussian vortex beams through a gradient-index medium

  • 期刊论文

  • 发表日期：

    2025年5月9日

查看全文
  • Senad Odžak

摘要

In this paper, a theoretical investigation of the propagation of standard Laguerre–Gaussian (sLG) and elegant Laguerre–Gaussian (eLG) vortex beams through a gradient-index (GRIN) medium is presented. The analysis is conducted using the extended Huygens-Fresnel principle, with analytical expressions employed to describe the intensity of Laguerre–Gaussian (LG) vortex beams propagating through ABCD optical systems. The results indicate that sLG beams exhibit a more pronounced ring-like structure and greater divergence, whereas eLG beams maintain a more confined intensity profile and enhanced stability, particularly at higher mode orders. Furthermore, the orbital angular momentum (OAM) density is found to be more spatially localised for eLG beams. The superior beam quality of eLG beams is attributed to their distinctive intensity distribution, which leads to reduced diffraction-induced divergence and enhanced beam shaping capabilities. These properties suggest that eLG beams may be advantageous in applications requiring high stability and precise intensity control.