13 September 2012 New modelling of freeform surfaces for optical design of astronomical instruments
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Abstract
Freeform optics offer additional degrees of freedom that can lead to a simplification of instrument optical designs with compact solutions. In this context, we propose a new mathematical description of freeform surfaces. This new mathematical formalism, based on the "eigen-modes" of Bernstein polynomials was developed for off-axis highly aspherical surfaces modelling. It allows to take into account different kinds of deformations of the optical surface with local influence capabilities. We present the mathematical formalism developed and then we focus on the optical analysis of an innovative instrument design. The advantages provided by this new modelling are examined.
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S. Pascal, M. Gray, S. Vives, D. Le Mignant, M. Ferrari, J.-G. Cuby, K. Dohlen, "New modelling of freeform surfaces for optical design of astronomical instruments", Proc. SPIE 8450, Modern Technologies in Space- and Ground-based Telescopes and Instrumentation II, 845053 (13 September 2012); doi: 10.1117/12.925299; https://doi.org/10.1117/12.925299
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