Double-distance propagation of Gaussian beams passing through a tilted cat-eye optical lens in a turbulent atmosphere

• Published in: Chinese physics B Vol. 20; no. 4; pp. 301 - 309
• Main Author: 赵延仲 孙华燕 宋丰华
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.04.2011
• Subjects: 传输距离; 光学镜头; 平均强度; 湍流大气; 菲涅耳衍射积分; 近似解析公式; 高斯光束
• ISSN: 1674-1056; 2058-3834
• DOI: 10.1088/1674-1056/20/4/044201

By using the extended Huygens-Fresnel diffraction integral and the method of expanding the aperture function into a finite sum of complex Caussian functions, an approximate analytical formula of the double-distance propagation for Caussian beam passing through a tilted cat-eye optical lens and going back along the entrance way in a turbulent atmosphere has been derived. Through numerical calculation, the effects of incidence angle, propagation distance, and structure constant on the propagation properties of a Gaussian beam in a turbulent atmosphere are studied. It is found that the incidence angle creates an unsymmetrical average intensity distribution pattern, while the propagation distance and the structure constant can each create a smooth and symmetrical average intensity distribution pattern. The average intensity peak gradually deviates from the centre, and the central average intensity value decreases quickly with the increase in incidence angle, while a larger structure constant can bring the average intensity peak back to the centre.