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Advances in Optical Technologies
Volume 2010 (2010), Article ID 783206, 5 pages
Research Article

Spherical Aberration Correction Using Refractive-Diffractive Lenses with an Analytic-Numerical Method

Marginal Meridional Rays, Instituto Nacional de Astrofísica Óptica y Electrónica, Apdo. Postal 51 y 216, Puebla-72000, Mexico

Received 19 February 2010; Accepted 14 July 2010

Academic Editor: Michael Fiddy

Copyright © 2010 Sergio Vázquez-Montiel et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We propose an alternative method to design diffractive lenses free of spherical aberration for monochromatic light. Our method allows us to design diffractive lenses with the diffraction structure recorded on the last surface; this surface can be flat or curved with rotation symmetry. The equations that we propose calculate the diffraction profiles for any substratum, for any f-number, and for any position of the object. We use the lens phase coefficients to compensate the spherical aberration. To calculate these coefficients, we use an analytic-numerical method. The calculations are exact, and the optimization process is not required.