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

• Published in: Chinese physics letters Vol. 27; no. 3; pp. 128 - 131
• Main Author: 赵延仲 孙华燕 喻夏琼 樊萌山
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.03.2010
• 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
• ISSN: 0256-307X; 1741-3540
• DOI: 10.1088/0256-307X/27/3/034101

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.