提出了研究光学镜头猫眼效应的物理光学传输分析方法。该方法以ZEMAX光学设计软件建立的光学镜头模型为基础,采用动态数据交换技术(dynamic data exchange,DDE)获取镜头结构参数;以Collins衍射积分公式为基础,结合矩阵光学理论以...提出了研究光学镜头猫眼效应的物理光学传输分析方法。该方法以ZEMAX光学设计软件建立的光学镜头模型为基础,采用动态数据交换技术(dynamic data exchange,DDE)获取镜头结构参数;以Collins衍射积分公式为基础,结合矩阵光学理论以及将硬边光阑窗口函数展开为有限个复高斯函数之和的方法,进一步推导了高斯光束通过具有基本结构参数的光学镜头后并返回的一般解析传输公式。结果表明,利用该方法仿真得出的猫眼效应反射光在反向传输过程中的空间分布与实验所得极为相似,证明了应用该物理光学传输分析法研究猫眼效应的科学性。展开更多
Based on the generalized diffraction integral formula and the idea that the angle misalignment of the cat-eye optical lens can be transformed into the displacement misalignment,an approximate analytical propagation fo...Based on the generalized diffraction integral formula and the idea that the angle misalignment of the cat-eye optical lens can be transformed into the displacement misalignment,an approximate analytical propagation formula for Gaussian beams through a cat-eye optical lens under large incidence angle condition is derived.Numerical results show that the diffraction effect of the apertures of the cat-eye optical lens becomes stronger along with the increase in incidence angle.The results are also compared with those from using an angular spectrum diffraction integral and experiment to illustrate the applicability and validity of our theoretical formula.It is shown that the approximate extent is good enough for the application of a cat-eye optical lens with a radius of 20 mm and a propagation distance of 100 m,and the approximate extent becomes better along with the increase in the radius of the cat-eye optical lens and the propagation distance.展开更多
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 pr...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.展开更多
文摘提出了研究光学镜头猫眼效应的物理光学传输分析方法。该方法以ZEMAX光学设计软件建立的光学镜头模型为基础,采用动态数据交换技术(dynamic data exchange,DDE)获取镜头结构参数;以Collins衍射积分公式为基础,结合矩阵光学理论以及将硬边光阑窗口函数展开为有限个复高斯函数之和的方法,进一步推导了高斯光束通过具有基本结构参数的光学镜头后并返回的一般解析传输公式。结果表明,利用该方法仿真得出的猫眼效应反射光在反向传输过程中的空间分布与实验所得极为相似,证明了应用该物理光学传输分析法研究猫眼效应的科学性。
基金the Fund of the National Defense Pre-Research Foundation of China under Grant Nos TY7131008 and 513210902.
文摘Based on the generalized diffraction integral formula and the idea that the angle misalignment of the cat-eye optical lens can be transformed into the displacement misalignment,an approximate analytical propagation formula for Gaussian beams through a cat-eye optical lens under large incidence angle condition is derived.Numerical results show that the diffraction effect of the apertures of the cat-eye optical lens becomes stronger along with the increase in incidence angle.The results are also compared with those from using an angular spectrum diffraction integral and experiment to illustrate the applicability and validity of our theoretical formula.It is shown that the approximate extent is good enough for the application of a cat-eye optical lens with a radius of 20 mm and a propagation distance of 100 m,and the approximate extent becomes better along with the increase in the radius of the cat-eye optical lens and the propagation distance.
基金supported by the National Defense Pre-research Foundation of China (Grant No. TY7131008)
文摘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.