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Freeform surfaces offer many advantages in the design of optical systems. To perform STOP analyses[1] of systems containing freeform surfaces, the nominal surface geometry must be accurately represented. Forbes polynomials[2] (sometimes called Q2D polynomials) are often used to represent freeform surfaces in optical design codes. This paper discusses the use of Q2D polynomial surfaces in STOP analysis. Topics include comparison to standard Zernike polynomials and passing finite element results to optics analysis software.
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Victor Genberg, Gregory Michels, Gary Bisson, "Freeform surfaces in STOP analysis," Proc. SPIE 11816, Optomechanics and Optical Alignment, 118160J (1 August 2021); https://doi.org/10.1117/12.2595142