Propagation of modified anomalous vortex beams in a gradient-index medium

IF 2.2 3区物理与天体物理 Q2 OPTICS

Optics Communications Pub Date : 2025-06-06 DOI:10.1016/j.optcom.2025.132030

Bikash K. Das , Camilo Granados , Marcelo F. Ciappina

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引用次数: 0

Abstract

Modified anomalous vortex (MAV) beams are orbital angular momentum (OAM)-carrying light beams with controlled self-focusing properties. We investigate the propagation of MAV beams in a gradient-index (GRIN) medium. Based on the Huygens-Fresnel integral and ABCD matrix, we derive an analytical expression for the complex amplitude of the MAV beam propagating in a GRIN medium. The effects of the topological charge (TC), the order of the vortex beam, the modification parameter, the gradient-index parameter, and the refractive index of the medium axis on the intensity distributions of the MAV beam are numerically studied. The propagation trajectory and intensity distributions are shown to change periodically in the GRIN medium with increasing propagation distances. The gradient index parameter also determines the periodic values of the MAV beams during propagation, and the period of evolution decreases as the value of the gradient index parameter increases. Moreover, the refractive index at the symmetry axis has little effect on the focusing intensity of the MAV beam and does not influence the maximum radius of the bright ring as the beam propagates through the GRIN medium. The results presented in this paper may be useful for applications of MAV beams in optical guiding, optical communication, and laser optics.

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修正反常涡旋光束在梯度折射率介质中的传播

修正反常涡旋光束是一种携带轨道角动量的光束，具有可控的自聚焦特性。本文研究了微重力光束在梯度折射率（GRIN）介质中的传播。基于惠更斯-菲涅耳积分和ABCD矩阵，导出了微重力光束在GRIN介质中传播的复振幅的解析表达式。数值研究了拓扑电荷（TC）、涡旋光束阶数、修正参数、梯度折射率参数和介质轴折射率对MAV光束强度分布的影响。在GRIN介质中，随着传播距离的增加，传播轨迹和强度分布呈周期性变化。梯度折射率参数还决定了MAV光束在传播过程中的周期值，并且随着梯度折射率参数值的增大，演化周期减小。此外，对称轴处的折射率对MAV光束的聚焦强度影响不大，并且不影响光束在GRIN介质中传播时的最大亮环半径。本文的研究结果对MAV光束在光导向、光通信和激光光学等领域的应用具有一定的指导意义。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Optics Communications 物理-光学

CiteScore

5.10

自引率

8.30%

发文量

681

审稿时长

38 days

期刊介绍： Optics Communications invites original and timely contributions containing new results in various fields of optics and photonics. The journal considers theoretical and experimental research in areas ranging from the fundamental properties of light to technological applications. Topics covered include classical and quantum optics, optical physics and light-matter interactions, lasers, imaging, guided-wave optics and optical information processing. Manuscripts should offer clear evidence of novelty and significance. Papers concentrating on mathematical and computational issues, with limited connection to optics, are not suitable for publication in the Journal. Similarly, small technical advances, or papers concerned only with engineering applications or issues of materials science fall outside the journal scope.