An efficient method of reducing glass dispersion tolerance sensitivity

Scott W. Sparrold; R. Hamilton Shepard

doi:10.1117/12.2073959

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

Scott W. Sparrold; R. Hamilton Shepard

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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.

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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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