We formulate the error propagation in a slope-type zonal wavefront reconstruction with the eigenvalues of the wavefront reconstruction normal matrix. With an optimized indexing order, we show that the Southwell's configuration with an odd-number of grid-dimension is the optimal grid geometry for minimizing error propagation and thus optimizing reconstruction accuracy.
© 2004 Optical Society of America
W. Zou and J. P. Rolland, "Error propagation and the optimal reconstruction scheme in slope-type zonal wavefront estimation," in Frontiers in Optics 2004/Laser Science XXII/Diffractive Optics and Micro-Optics/Optical Fabrication and Testing, OSA Technical Digest Series (Optical Society of America, 2004), paper FThH2.
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