应用场光线传递方程计算鱼眼镜头像场像差  

Calculation of Field-dependent Aberrations of Fisheye Lens with the Transfer Equations of Field Ray

作　　者：曹一青[1] 吕丽军[1] 邓智勇[1] CAO Yi-qing LU Li-jun DENG Zhi-yong(Department of Precision Mechanical Engineering, Shanghai University, Shanghai 200072, Chin)

机构地区：[1]上海大学精密机械系,上海200072

出　　处：《光子学报》2016年第11期62-67,共6页Acta Photonica Sinica

基　　金：国家自然科学基金(No.11274223)资助~~

摘　　要：应用场光线传递方程,从鱼眼镜头的孔径光阑处,逆向追迹场光线传递方程,确定任意视场角场光线的初始位置,即光阑球差.正向追迹场光线计算鱼眼镜头系统物、像空间视场角之间的关系曲线;用多项式拟合求出关系曲线的解析表达式.通过反演运算,根据畸变图像复原物的图像分布,达到消除鱼眼镜头成像系统畸变的目的.最后,计算了一个160°鱼眼镜头光学系统的光阑球差和图像的畸变,并应用本文方法复原物的图像分布.计算结果表明:光阑球差的计算结果与真值的相对误差小于1%;复原的物方图像径向高度相对误差小于0.25%,说明本文计算鱼眼镜头像场像差的方法是可行的.Any a field ray, using its transfer equations, is traced reversely from the aperture stop of a fisheye lens to determine its initial position, i. e. , the pupil spherical aberration. Then tracing the field ray in its forward direction, a relation curve between the field angle of object and image space can be obtained; a polynomial expression is used to fit the relation curve. By the inversion operation to the polynomial expression, the distribution of object without distortion can be rectified from the distorted image to realize the purpose of eliminating the distortion of fisheye lens. Finally, we make numerical calculations of the pupil spherical aberration and image distortion to a 160°-fisheye lens, and rectify the distortion of object. The calculation results show that, the relative error of the pupil spherical aberration from the exact value is less than 1%, and the relative error of radial height of the rectified object distribution is less than 0.25 %. The research shows that the method is feasible for the calculation of the field-dependent aberrations of fisheye lens.

关 键 词：光学设计 超大视场 鱼眼镜头 场光线 光阑球差 畸变 

分 类 号：O435[机械工程—光学工程]