Toward a paraxial pre-design of zoom lenses

T. Milde; T. Zimmermann

doi:10.1117/12.2188097

3 September 2015 Toward a paraxial pre-design of zoom lenses

T. Milde, T. Zimmermann

Proceedings Volume 9580, Zoom Lenses V; 958005 (2015) https://doi.org/10.1117/12.2188097
Event: SPIE Optical Engineering + Applications, 2015, San Diego, California, United States

Abstract

Optimizing the power distribution of fixed and moved lens groups as well as the motions of the latter, is typically a challenging part of the whole zoom lens optical design task. Once, the merit function is formulated to optimize an initial approach, the paraxial moving equations are solved implicitly in local optima. Hence, finding local optima becomes an ill posed problem when these equations cannot be solved uniquely for certain zoom configurations. Furthermore, an inappropriate initial power distribution can lead to large overall lengths, sensitive lens groups, small zoom ranges, induced aberrations and much more disadvantageous effects. From these reasons it appears as a logical consequence to first consider a paraxial pre-design of the zoom lens. This paper shows how first order aberrations, centering sensitivities as well as all common paraxial requirements can be formulated as a merit function for finding power distributions and (zooming) air spaces. In particular, the benefit of formulating zoom invariants as constraints in order to apply the Sequential Quadratic Programming (SQP) is shown. Based on a variation approach, an optimizable characteristic is introduced for control of the uniqueness of the moving equations. Global optimization methods like e.g. Differential Evolution can be used to obtain an initial paraxial approach. This approach can be improved using the SQP or the Damped Least Squares (DLS) method. Finally, the generation of an initial real lens system is described.

Citation Download Citation

T. Milde and T. Zimmermann "Toward a paraxial pre-design of zoom lenses", Proc. SPIE 9580, Zoom Lenses V, 958005 (3 September 2015); https://doi.org/10.1117/12.2188097

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