Lu Lijun, Cao Yiqing
Appl Opt. 2017 Oct 20;56(30):8570-8583. doi: 10.1364/AO.56.008570.
In this paper, we develop sixth-order wave aberration theory of ultrawide-angle optical systems like fisheye lenses. Based on the concept and approach to develop wave aberration theory of plane-symmetric optical systems, we first derive the sixth-order intrinsic wave aberrations and the fifth-order ray aberrations; second, we present a method to calculate the pupil aberration of such kind of optical systems to develop the extrinsic aberrations; third, the relation of aperture-ray coordinates between adjacent optical surfaces is fitted with the second-order polynomial to improve the calculation accuracy of the wave aberrations of a fisheye lens with a large acceptance aperture. Finally, the resultant aberration expressions are applied to calculate the aberrations of two design examples of fisheye lenses; the calculation results are compared with the ray-tracing ones with Zemax software to validate the aberration expressions.
在本文中，我们发展了鱼眼镜头等超广角光学系统的六阶波像差理论。基于发展平面对称光学系统波像差理论的概念和方法，我们首先推导了六阶本征波像差和五阶光线像差；其次，提出了一种计算此类光学系统光瞳像差以发展非本征像差的方法；第三，用二阶多项式拟合相邻光学表面之间的孔径光线坐标关系，以提高大孔径鱼眼镜头波像差的计算精度。最后，将所得像差表达式应用于计算两个鱼眼镜头设计实例的像差；将计算结果与Zemax软件的光线追迹结果进行比较，以验证像差表达式。
