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A continuous-face-sheet Xinetics deformable mirror (DM) is characterized and analyzed using Fizeau interferometer measurements. The influence of each individual actuator on the DM surface is measured. The measured data is then processed to be used as influence functions that define the influence of each actuator on the DM surface. Using the measured data as a spanning set, an orthonormal basis is computed for the span of the set using singular value decomposition. Real surface measurements are taken of the orthonormal basis influences to test for both linear independence of the actuators and actuator linearity with respect to voltage. The efficacy of using the measured basis function data to converge toward a more accurate basis in an iterative process is evaluated. Performance of lower rank (compressed) bases are also evaluated.
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Barton Plimmer, David Dayton, Mark Spencer, Arthur Hassall, "Influence functions of a deformable mirror: least-squares wave-front fitting," Proc. SPIE 10772, Unconventional and Indirect Imaging, Image Reconstruction, and Wavefront Sensing 2018, 1077205 (18 September 2018); https://doi.org/10.1117/12.2321189