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Zernike polynomial orthogonality, an established mathematical principle, is leveraged with the Gauss-Legendre quadrature rule in a rapid novel approach to fitting data over a circular domain. This approach provides significantly faster fitting speeds, in the order of thousands of times, while maintaining comparable error rates achieved with conventional least-square fitting techniques. We demonstrate the technique for fitting mid-spatial-frequencies (MSF) prevalent in small-tool-manufacturing typical of aspheric and freeform optics that are poised to soon permeate a wide range of optical technologies.more » « less
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Fan, Yiwen; Nikolov, Daniel K; Pomerantz, Mike; Vamivakas, A Nick; Rolland, Jannick P (, SPIE)Aikens, David M; Rehn, Henning; Thibault, Simon; Uhlendorf, Kristina (Ed.)We developed, tested, and applied a software tool that automatically generates high-accuracy CAD models of freeform elements with datums and fiducials, facilitating the efficient transition from freeform design to fabrication and measurement.more » « less
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Fan, Yiwen; Nikolov, Daniel K; Vamivakas, A Nick; Rolland, Jannick P (, SPIE)Kress, Bernard C; Peroz, Christophe (Ed.)Metaforms are novel optical components formed by conforming a metasurface to a freeform substrate. Metaforms can be a powerful solution when designing compact imaging systems such as augmented reality displays. Given the rotationally variant nature of the metaform substrate and the difficulty of metasurface fabrication on curved substrates, the proper alignment of the metasurface nanofeatures to the freeform substrate is essential. Thus, to seamlessly bridge the metaform design, manufacturing, and metrology, we developed a software tool that automatically generates ISO standard highaccuracy CAD models for the designed metaform components.more » « less
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