Third order aberration solution using aberration polynomials for a general zoom lens design

Hyun Kyoung An; Juan L. Rayces; Patrick J Reardon

doi:10.1117/12.732206

18 September 2007 Third order aberration solution using aberration polynomials for a general zoom lens design

Hyun Kyoung An, Juan L. Rayces, Patrick J Reardon

Proceedings Volume 6667, Current Developments in Lens Design and Optical Engineering VIII; 66670B (2007) https://doi.org/10.1117/12.732206
Event: Optical Engineering + Applications, 2007, San Diego, California, United States

Abstract

A mathematical approach for the third order solution for a general zoom lens design is proposed. The design starts with a first-order layout. Lens elements with the proper refracting power are placed at the proper distances to meet the physical constraints of the intended lens system. For the third-order design stage, a matrix notation called "Aberration Polynomial," which clarifies the linearity of the transformation from a normal thin group configuration to a general thin group configuration by pupil shift and conjugate shift theory is implemented. The purpose of the method is correcting low-order aberrations during the preliminary design of zoom lenses. The goal is to mathematically reduce to zero the four aberration coefficients of the third-order (spherical aberration, coma, astigmatism, and distortion) rather than searching for a minimum by commercial design software. Once this theory is proven and accepted, it becomes possible to determine how many groups are needed for a particular optical system. The method of aberration polynomials establishes the number of groups needed to correct a given number of aberrations at a given number of zoom positions. Furthermore, it provides the shape or bending of the elements, from where it will be possible to continue to optimize with standard methods.

Citation Download Citation

Hyun Kyoung An, Juan L. Rayces, and Patrick J Reardon "Third order aberration solution using aberration polynomials for a general zoom lens design", Proc. SPIE 6667, Current Developments in Lens Design and Optical Engineering VIII, 66670B (18 September 2007); https://doi.org/10.1117/12.732206

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