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Rapid evaluation of vignetting-free high-performance systems
- Source :
- Optical Engineering. 57:1
- Publication Year :
- 2018
- Publisher :
- SPIE-Intl Soc Optical Eng, 2018.
-
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.
- Subjects :
- Wavefront
Computer science
Zernike polynomials
Optical engineering
General Engineering
Sampling (statistics)
Context (language use)
02 engineering and technology
021001 nanoscience & nanotechnology
01 natural sciences
Atomic and Molecular Physics, and Optics
Weighting
010309 optics
Entrance pupil
symbols.namesake
0103 physical sciences
symbols
Gaussian quadrature
Ray tracing (graphics)
0210 nano-technology
Adaptive optics
Algorithm
Subjects
Details
- ISSN :
- 00913286
- Volume :
- 57
- Database :
- OpenAIRE
- Journal :
- Optical Engineering
- Accession number :
- edsair.doi...........7b2510fa1e1845bb269638cecf3190a6