研究目的
Investigating the spatial properties of Airyprime beams, including their propagation, focusing characteristics, and transformation into various beam patterns through truncation.
研究成果
The Airyprime beam, when focused, forms an optical bottle beam with adjustable length via the scale parameter. Truncation with a diaphragm allows transformation into various beam patterns (e.g., Gaussian, flat top) and enables control over single or dual focus behavior, making it promising for applications like optical trapping.
研究不足
The study is purely numerical and does not involve experimental validation. It relies on paraxial approximation, which may not hold for highly non-paraxial conditions. The effects of practical imperfections, such as lens aberrations or alignment errors, are not considered.
1：Experimental Design and Method Selection:
The study uses numerical methods based on the Fresnel-Kirchhoff integral to model the propagation and focusing of Airyprime beams under paraxial approximation. Theoretical models include the Airyprime function for beam description.
2：Sample Selection and Data Sources:
No physical samples; the study is purely numerical, using defined parameters such as wavelength λ = 1.064 μm, focal length f = 100 mm, and scale parameters w_x0 and w_y
3：064 μm, focal length f = 100 mm, and scale parameters w_x0 and w_yList of Experimental Equipment and Materials:
0.
3. List of Experimental Equipment and Materials: Not applicable as it is a numerical study; however, hypothetical equipment includes a lens (focal length 100 mm), diaphragm (square aperture with variable diameter), and laser source (wavelength 1.064 μm).
4：064 μm).
Experimental Procedures and Operational Workflow:
4. Experimental Procedures and Operational Workflow: Numerical integration of equations (2), (3), and (4) to compute on-axis and transverse intensity distributions for non-truncated and truncated beams. Parameters like aperture diameter and scale parameter are varied to observe effects.
5：Data Analysis Methods:
Analysis involves plotting intensity distributions, identifying focal points, and characterizing beam patterns (e.g., Gaussian, flat top, optical bottle beam) based on numerical results.
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