Three-Dimensional Analytical Formula for Oblique and Off-Axis Gaussian Beams Propagating through a Cat-Eye Optical Lens

Based on the Collins formula in a cylindrical coordinate system and the method of introducing a hard aperture function into a finite sum of complex Gaussian functions, an approximate three-dimensional analytical formula for oblique and off-axis Gaussian beams propagating through a cat-eye optical le...

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Bibliographic Details
Published in:Chinese physics letters 2010-03, Vol.27 (3), p.128-131
Main Author: 赵延仲 孙华燕 喻夏琼 樊萌山
Format: Article
Language:English
Subjects:
Approximation
Beams (radiation)
Gaussian
Gaussian beams (optics)
Lenses
Mathematical analysis
Mathematical models
Propagation
倾斜角度
光学镜头
圆柱坐标系
柯林斯公式
离轴高斯光束
解析公式
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Summary:Based on the Collins formula in a cylindrical coordinate system and the method of introducing a hard aperture function into a finite sum of complex Gaussian functions, an approximate three-dimensional analytical formula for oblique and off-axis Gaussian beams propagating through a cat-eye optical lens is derived. Numerical results show that a reasonable choice of the obliquity factor would result in a better focus beam with a higher central intensity at the return place than that without obliquity, whereas the previous conclusion based on geometry optics is that the highest central intensity could be obtained when there is no obliquity.
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/27/3/034101