A new basis of polynomials for off-axis highly aspheric optical surfaces

M. Gray; M. Ferrari; S. Vives

doi:10.1117/12.896629

30 September 2011 A new basis of polynomials for off-axis highly aspheric optical surfaces

M. Gray, M. Ferrari, S. Vives

Proceedings Volume 8172, Optical Complex Systems: OCS11; 817217 (2011) https://doi.org/10.1117/12.896629
Event: SPIE Optical Systems Design, 2011, Marseille, France

Abstract

Off-axis highly aspheric optical surfaces modeling needs a new mathematical formalism in order to implement it into ray-tracing optimization codes. This new description must be able to take into account different kinds of deformations: from low order to medium and high order deformations. This paper presents a new basis of polynomials (based on Bernstein polynomials) for a new analytical definition of such optical surfaces. A general definition of Bernstein polynomials and some of the mathematical properties will be first introduced. Then, we will briefly review some straightforward tools which can be very useful for optical design and optimization in the use of this specific basis.

Citation Download Citation

M. Gray, M. Ferrari, and S. Vives "A new basis of polynomials for off-axis highly aspheric optical surfaces", Proc. SPIE 8172, Optical Complex Systems: OCS11, 817217 (30 September 2011); https://doi.org/10.1117/12.896629

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