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Analytical and exact method for design diffractive lenses free of spherical aberration

In this work, we propose an alternative method for design diffractive lenses controlling the spherical aberration for monochromatic imaging. These diffractive lenses are designed on a rotationally symmetrical surface. Our method calculates the surface profiles for any substrate, for any f-number and any object position. The calculations are exact and an optimization process is not required.