21 August 2009 Design, analysis, and fabrication of a really bad lens
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Abstract
Many practical singlet lenses (with one aspheric and one planar surface) can be designed analytically without resorting to iterative optimization. "Good" lenses that precisely focus or collimate monochromatic light are covered first. Then a less important but more interesting "bad" case is discussed. An unusual application required a singlet lens whose axial caustic is an order-of-magnitude greater than its paraxial focal length. A lens with a radial spline surface was designed using the CodeV and ASAP macro languages. The near-field on-axis diffraction irradiance produced by the lens was verified using the ASAP software's beamlet decomposition/summation capability. Specification of the surface for manufacture seemed straightforward but became problematic due to limitations at the time in the software used by the computer-controlled grinding and polishing machines. Eventually the lens was manufactured successfully but only after fitting the spline to a standard radial polynomial (including odd terms).
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Alan W. Greynolds, Alan W. Greynolds, } "Design, analysis, and fabrication of a really bad lens", Proc. SPIE 7429, Novel Optical Systems Design and Optimization XII, 74290E (21 August 2009); doi: 10.1117/12.825480; https://doi.org/10.1117/12.825480
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