Kassim A M, Shealy D L
Appl Opt. 1988 Feb 1;27(3):516-22. doi: 10.1364/AO.27.000516.
Using the condition of constant optical path length for rays passing through an optical system, an equation for the wave front is presented in a simplified form. The wave front equation has been explicitly evaluated for a plane wave incident on a spherical reflector or a plano-convex lens. Then, the principal radii of curvature of the reflected or refracted wave front, evaluated directly from the wave front equation, are shown to locate the caustic surfaces of the optical system. From the wave front equation, a closed form expression for the wave aberration function for a plane wave reflected by a spherical mirror or a plano-corvex lens has been evaluated and compared to the results obtained from third-order aberration theory.
利用光线通过光学系统时光程长度恒定的条件，以简化形式给出了波前方程。对于入射到球面反射镜或平凸透镜上的平面波，已明确求解了波前方程。然后，直接从波前方程计算出的反射或折射波前的主曲率半径，被证明可用于确定光学系统的焦散面位置。根据波前方程，已求出了球面镜或平凸透镜反射的平面波的波像差函数的闭式表达式，并与从三阶像差理论得到的结果进行了比较。
