Translator Disclaimer
18 September 2007 Third order aberration solution using aberration polynomials for a general zoom lens design
Author Affiliations +
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.
© (2007) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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);


Dennis Gabor’s catadioptric design and some new variations
Proceedings of SPIE (November 27 2017)
Toward the global optimum in zoom lens design
Proceedings of SPIE (October 19 2012)
Aspheres in a double Gauss: rehashing and old study
Proceedings of SPIE (September 02 2010)
Lens Design Short Course
Proceedings of SPIE (November 07 1983)
Video camera zoom lens design using lens modules
Proceedings of SPIE (October 05 1995)

Back to Top