27 October 2003 Transferring FEA results to optics codes with Zernikes: a review of techniques
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Abstract
The detailed displacement data provided by finite element analysis (FEA) tools must be translated into forms acceptable by most optical ray tracing tools (CODE V specifically). A useful medium for transferring FEA data is the Zernike circular polynomials that many optical ray tracing tools will readily accept as input. However, the translation process is nontrivial, and two specific difficulties are explored in this paper. The first issue involves a coordinate space transformation that is required because the optically relevant coordinate system is not the same as the Cartesian coordinate system typically used in the finite element model. Several algorithms are described to perform this transformation and their pros and cons enumerated. Specifically, comparisons are made between sag based and surface normal (wavefront) based coordinate systems, and it is found that by using the sag equation of the original surface, the accuracy of the data translation can be improved. The second issue discussed is the accuracy of the polynomial fitting process. The loss of orthogonality stemming from undersampling, nonuniform mesh density, and annular surfaces are discussed with potential work-arounds.
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Patrick A. Coronato, Patrick A. Coronato, Richard C. Juergens, Richard C. Juergens, } "Transferring FEA results to optics codes with Zernikes: a review of techniques", Proc. SPIE 5176, Optomechanics 2003, (27 October 2003); doi: 10.1117/12.511199; https://doi.org/10.1117/12.511199
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