Forbes G W
QED Technologies Inc., 1040 University Ave., Rochester, New York 14607, USA.
Opt Express. 2012 Jan 30;20(3):2483-99. doi: 10.1364/OE.20.002483.
A recently introduced method for characterizing the shape of rotationally symmetric aspheres is generalized here for application to a wide class of freeform optics. New sets of orthogonal polynomials are introduced along with robust and efficient algorithms for computing the surface shape as well as its derivatives of any order. By construction, the associated characterization offers a rough interpretation of shape at a glance and it facilitates a range of estimates of manufacturability.
一种最近引入的用于表征旋转对称非球面形状的方法在此被推广，以应用于广泛的自由曲面光学器件。引入了新的正交多项式集以及用于计算表面形状及其任意阶导数的强大且高效的算法。通过构建，相关的表征能一眼给出形状的大致解释，并有助于对可制造性进行一系列评估。
