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Optical Engineering

Error analysis and correction in wavefront reconstruction from the transport-of-intensity equation
Author(s): Sergio Barbero; Larry N. Thibos
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Paper Abstract

Wavefront reconstruction from the transport-of-intensity equation (TIE) is a well-posed inverse problem given smooth signals and appropriate boundary conditions. However, in practice experimental errors lead to an ill-condition problem. A quantitative analysis of the effects of experimental errors is presented in simulations and experimental tests. The relative importance of numerical, misalignment, quantization, and photodetection errors are shown. It is proved that reduction of photodetection noise by wavelet filtering significantly improves the accuracy of wavefront reconstruction from simulated and experimental data.

Paper Details

Date Published: 1 September 2006
PDF: 6 pages
Opt. Eng. 45(9) 094001 doi: 10.1117/1.2352732
Published in: Optical Engineering Volume 45, Issue 9
Show Author Affiliations
Sergio Barbero, Indiana Univ. (United States)
Larry N. Thibos, Indiana Univ. (United States)

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