Cordero-Dávila Alberto, González-García Jorge, Robledo-Sánchez Carlos Ignacio, Leal-Cabrera Irce
Facultad de Ciencias Físico Matemáticas (FCFM), Benemérita Universidad Autónoma de Puebla (BUAP), Av. San Claudio y Río Verde s/n Col. San Manuel, Puebla, Apartado Postal 1152, C. P. 72570, Mexico.
Appl Opt. 2011 Aug 20;50(24):4817-23. doi: 10.1364/AO.50.004817.
We have reproduced quantitatively the technique commonly used in optical shop to evaluate surface error from comparison between experimental and simulated Ronchigrams. We used this procedure to evaluate, from Ronchigrams of any number of fringes, the curvature radius and/or conic constant of conic surfaces. The error function is calculated without using integration (numerical or polynomial) so the corresponding problems were avoided. Furthermore, when the error function is described with cubic splines, then the local errors are very well reproduced, which is not the case with the polynomial description. We have described the error functions with conical surfaces or with cubic splines, and for the best reproduction of experimental Ronchigram we used genetic algorithms.
我们已经定量地再现了光学商店中常用的技术，该技术通过比较实验和模拟的 Ronchigram 来评估表面误差。我们使用此程序从任意数量条纹的 Ronchigram 评估圆锥曲面的曲率半径和/或圆锥常数。误差函数的计算不使用积分（数值积分或多项式积分），因此避免了相应的问题。此外，当用三次样条描述误差函数时，局部误差能得到很好的再现，而多项式描述则不然。我们用圆锥曲面或三次样条描述了误差函数，并且为了最佳地再现实验 Ronchigram，我们使用了遗传算法。
