An efficient method of reducing glass dispersion tolerance sensitivity

Scott W. Sparrold; R. Hamilton Shepard

doi:10.1117/12.2073959

17 December 2014 An efficient method of reducing glass dispersion tolerance sensitivity

Proceedings Volume 9293, International Optical Design Conference 2014; 929327 (2014) https://doi.org/10.1117/12.2073959
Event: International Optical Design Conference, 2014, Kohala Coast, Hawaii, United States

Abstract

Constraining the Seidel aberrations of optical surfaces is a common technique for relaxing tolerance sensitivities in the optimization process. We offer an observation that a lens’s Abbe number tolerance is directly related to the magnitude by which its longitudinal and transverse color are permitted to vary in production. Based on this observation, we propose a computationally efficient and easy-to-use merit function constraint for relaxing dispersion tolerance sensitivity. Using the relationship between an element’s chromatic aberration and dispersion sensitivity, we derive a fundamental limit for lens scale and power that is capable of achieving high production yield for a given performance specification, which provides insight on the point at which lens splitting or melt fitting becomes necessary. The theory is validated by comparing its predictions to a formal tolerance analysis of a Cooke Triplet, and then applied to the design of a 1.5x visible linescan lens to illustrate optimization for reduced dispersion sensitivity. A selection of lenses in high volume production is then used to corroborate the proposed method of dispersion tolerance allocation.

Citation Download Citation

Scott W. Sparrold and R. Hamilton Shepard "An efficient method of reducing glass dispersion tolerance sensitivity", Proc. SPIE 9293, International Optical Design Conference 2014, 929327 (17 December 2014); https://doi.org/10.1117/12.2073959

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