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Thick Lens Chromatic Effective Focal Length Variation Versus Bending

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Abstract

Longitudinal chromatic aberration (LCA) can limit the optical performance in refractive optical systems. Understanding a singlet’s chromatic change of effective focal leads to insights and methods to control LCA. Long established, first order theory, shows the chromatic change in focal length for a zero thickness lens is proportional to it's focal length divided by the lens V number or inverse dispersion. This work presents the derivation of an equation for a thick singlet's chromatic change in effective focal length as a function of center thickness, t, dispersion, V, index of refraction, n and the Coddington shape factor, K. A plot of bending versus chromatic focal length variation is presented. Lens thickness does not influence chromatic variation of effective focal length for a convex plano or plano convex lens. A len's center thickness' influence on chromatic focal length variation is more pronounced for lower indices of refraction.

© 2017 Optical Society of America

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