Mafusire Cosmas, Forbes Andrew
Council for Scientific and Industrial Research National Laser Centre, P.O. Box 395, Pretoria, South Africa.
J Opt Soc Am A Opt Image Sci Vis. 2011 Jul 1;28(7):1403-9. doi: 10.1364/JOSAA.28.001403.
We outline an approach for the calculation of the mean focal length of an aberrated lens and provide closed-form solutions that show that the focal length of the lens is dependent on the presence of defocus, x-astigmatism, and spherical aberration. The results are applicable to Gaussian beams in the presence of arbitrary-sized apertures. The theoretical results are confirmed experimentally, showing excellent agreement. As the final results are in algebraic form, the theory may readily be applied in the laboratory if the aberration coefficients of the lens are known.
我们概述了一种计算像差透镜平均焦距的方法，并提供了封闭形式的解，这些解表明透镜的焦距取决于离焦、x 像散和球差的存在。结果适用于存在任意尺寸孔径的高斯光束。理论结果通过实验得到了证实，显示出极好的一致性。由于最终结果是代数形式的，如果已知透镜的像差系数，该理论可以很容易地应用于实验室。
