Propagation characteristics of Airyprime beams in ABCD optical system

SU Yanli; ZHANG Ruiya; JIANG Qichang

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Propagation characteristics of Airyprime beams in ABCD optical system

Novel Beam | 更新时间：2026-05-20

- Propagation characteristics of Airyprime beams in ABCD optical system
- OPTICAL TECHNIQUE Vol. 52, Issue 3, Pages: 351-354(2026)
- 作者机构：
  
  1.运城学院物理与电子工程系，山西运城 04400
  2.光电信息科学与技术实验室，山西运城 044000
- 作者简介：
- 基金信息：
- DOI：
  CLC： O437
- Received：17 January 2026，
  
  Revised：2026-03-01，
  
  Accepted：09 March 2026，
  
  Published：20 May 2026
- 稿件说明：
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苏艳丽,张睿雅,姜其畅.Airyprime光束在ABCD光学系统中的传输特性[J].光学技术,2026,52(03):351-354.

SU Yanli,ZHANG Ruiya,JIANG Qichang.Propagation characteristics of Airyprime beams in ABCD optical system[J].OPTICAL TECHNIQUE,2026,52(03):351-354.
苏艳丽,张睿雅,姜其畅.Airyprime光束在ABCD光学系统中的传输特性[J].光学技术,2026,52(03):351-354. DOI：

SU Yanli,ZHANG Ruiya,JIANG Qichang.Propagation characteristics of Airyprime beams in ABCD optical system[J].OPTICAL TECHNIQUE,2026,52(03):351-354. DOI：

摘要

为探究多光斑对称结构光束的传输规律，基于柯林斯衍射积分方法，理论分析了Airyprime光束在自由空间、透镜系统和梯度折射率介质等ABCD光学系统中的传输特性。研究发现，Airyprime光束的九个光斑具有优良的空间对称性，其传输行为随介质类型呈现显著差异化特征：在自由空间中，随传输距离增加，中心光斑能量逐步向外弥散，最终演化为四光斑结构，并在长距离传输范围内保持该形态稳定；在透镜系统中，九个光斑的相对光强分布在传输过程中基本保持不变，当传输距离超过一倍焦距后，光束整体呈现发散趋势；在梯度折射率介质中，光束相对光强分布维持稳定，受介质固有聚焦作用影响，表现出周期性聚焦的独特传输特性。相关研究结果对进一步探索Airyprime光束的应用提供一定的理论参考。

Abstract

To explore the propagation laws of multi-spot symmetric structured beams

the propagation characteristics of Airyprime beams in ABCD optical systems （including free space

lens systems and graded-index media） are theoretically analyzed based on the Collins diffraction integral method. Results indicate that the nine spots of the Airyprime beam possess excellent spatial symmetry

and their propagation behavior exhibits significant differences with varying medium types. In free space

as the propagation distance increases

the energy of the central spot gradually diffuses outward

eventually evolving into a four-spot structure that maintains stability over a long propagation distance. In the lens system

the relative intensity distribution of the nine spots remains essentially unchanged during propagation

while the entire beam tends to diverge when the propagation distance exceeds one focal length. In the gradient-index medium

the relative intensity distribution of the beam stays stable

and it presents a unique periodic focusing propagation characteristic due to the inherent focusing effect of the medium. The relevant research results provide a theoretical reference for further exploration of the application of Airyprime beam.

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references

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