研究目的
Investigating the spatial characteristics of the truncated circular Airyprime beam and its comparison to the first order radial Laguerre–Gaussian beam LG10.
研究成果
The circular Airyprime (CiAiP) beam exhibits unique spatial characteristics, including non-diffracting behavior and dual focus properties when focused. It can be transformed into various beam shapes using a hard aperture, making it of significant interest in the field of structured light. The beam's properties are closely compared to the LG10 beam, showing similar transverse intensity distributions but differing in on-axis intensities and propagation behaviors.
研究不足
The study primarily focuses on theoretical analysis and numerical solutions, with limited discussion on practical experimental validation or potential optimization areas.
1：Experimental Design and Method Selection:
The study involves the introduction of the circular Airyprime (CiAiP) beam and its comparison with the LG10 beam using the second order moments method for calculating beam width, divergence, and propagation factor.
2：Sample Selection and Data Sources:
The study uses theoretical models and numerical solutions for the integral equations describing the beam's properties.
3：List of Experimental Equipment and Materials:
Not explicitly mentioned, but involves optical systems characterized by ABCD transfer matrices and focusing lenses.
4：Experimental Procedures and Operational Workflow:
The propagation and focusing of the CiAiP beam through an optical system is calculated using the Collin’s integral in cylindrical coordinate system.
5：Data Analysis Methods:
Numerical solutions for integral equations and comparison with LG10 beam properties.
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