Conversion of radius of curvature to power (and vice versa)

Sven Wickenhagen; Kazumasa Endo; Ulrike Fuchs; Richard N. Youngworth; Sven R. Kiontke

doi:10.1117/12.2191400

5 October 2015 Conversion of radius of curvature to power (and vice versa)

Sven Wickenhagen, Kazumasa Endo, Ulrike Fuchs, Richard N. Youngworth, Sven R. Kiontke

Proceedings Volume 9628, Optical Systems Design 2015: Optical Fabrication, Testing, and Metrology V; 962813 (2015) https://doi.org/10.1117/12.2191400
Event: SPIE Optical Systems Design, 2015, Jena, Germany

Abstract

Manufacturing optical components relies on good measurements and specifications. One of the most precise measurements routinely required is the form accuracy. In practice, form deviation from the ideal surface is effectively low frequency errors, where the form error most often accounts for no more than a few undulations across a surface. These types of errors are measured in a variety of ways including interferometry and tactile methods like profilometry, with the latter often being employed for aspheres and general surface shapes such as freeforms. This paper provides a basis for a correct description of power and radius of curvature tolerances, including best practices and calculating the power value with respect to the radius deviation (and vice versa) of the surface form. A consistent definition of the sagitta is presented, along with different cases in manufacturing that are of interest to fabricators and designers. The results make clear how the definitions and results should be documented, for all measurement setups. Relationships between power and radius of curvature are shown that allow specifying the preferred metric based on final accuracy and measurement method. Results shown include all necessary equations for conversion to give optical designers and manufacturers a consistent and robust basis for decision-making. The paper also gives guidance on preferred methods for different scenarios for surface types, accuracy required, and metrology methods employed.

Citation Download Citation

Sven Wickenhagen, Kazumasa Endo, Ulrike Fuchs, Richard N. Youngworth, and Sven R. Kiontke "Conversion of radius of curvature to power (and vice versa)", Proc. SPIE 9628, Optical Systems Design 2015: Optical Fabrication, Testing, and Metrology V, 962813 (5 October 2015); https://doi.org/10.1117/12.2191400

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KEYWORDS

Tolerancing

Standards development

Aspheric lenses

Glasses

Interferometers

Optics manufacturing

Interferometry

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