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Opt Express. 2011 Oct 24;19(22):21174-9. doi: 10.1364/OE.19.021174.

Applying slope constrained Q-type aspheres to develop higher performance lenses.

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  • 1The Institute of Optics, University of Rochester, 275 Hutchinson Road, Rochester, New York 14627, USA.


It has recently been shown that the coefficients that specify the aspheric departure from a spherical surface in high NA lithographic lenses routinely require more significant digits than are available in even double precision computers when they are described as part of a power series in aperture-squared. The Q-type aspheric description has been introduced to solve this problem. An important by-product of this new surface description is that it allows the slope of a surface to be directly constrained during optimization. Results show that Q-type aspheric surfaces that are optimized with slope constraints are not only more testable, an original motivation, but, they can also lead to solutions that are less sensitive to assembly induced misalignments for lithographic quality lenses. Specifically, for a representative NA 0.75 lens, the sensitivity to tilt and decenter is reduced by more than 3X, resulting in significantly higher lens performance in-use.

© 2011 Optical Society of America

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