Rapid evaluation of vignetting-free high-performance systems

Gregory W. Forbes; Johannes Ruoff

doi:10.1117/1.OE.57.10.101709

4 October 2018 Rapid evaluation of vignetting-free high-performance systems

Gregory W. Forbes, Johannes Ruoff

Author Affiliations +

Optical Engineering, Vol. 57, Issue 10, 101709 (October 2018). https://doi.org/10.1117/1.OE.57.10.101709

Abstract

System assessment for design often involves averages, such as the standard deviation of the wavefront error, which are estimated by ray tracing through a sample of points within the entrance pupil. General-purpose sampling and weighting schemes are presented, and it is also shown that optical design can benefit from tailored versions of these schemes. It turns out that the type of Gaussian quadrature that has long been recognized for efficiency in this domain requires about 40% to 50% more ray tracing to attain comparable accuracy to generic versions of the new schemes. Even greater efficiency gains can be won, however, by tailoring such sampling schemes to the optical context where azimuthal variation in the wavefront is generally weaker than the radial variation. These new schemes are special cases of what is known in the mathematical world as cubature. Our initial results also led to the consideration of simpler sampling configurations that approximate the newfound cubature schemes. We report on the practical application of a selection of such schemes and make observations that aid in the discovery of cubature schemes relevant to optical design of systems with circular pupils.

Citation Download Citation

Gregory W. Forbes and Johannes Ruoff "Rapid evaluation of vignetting-free high-performance systems," Optical Engineering 57(10), 101709 (4 October 2018). https://doi.org/10.1117/1.OE.57.10.101709

Received: 2 February 2018; Accepted: 11 September 2018; Published: 4 October 2018

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