Optical Components, Detectors, and Displays

Error analysis and correction in wavefront reconstruction from the transport-of-intensity equation

[+] Author Affiliations
Sergio Barbero

Indiana University, School of Optometry, Bloomington, Indiana 47405-3907

Larry N. Thibos

Indiana University, School of Optometry, Bloomington, Indiana 47405-3907

Opt. Eng. 45(9), 094001 (September 18, 2006). doi:10.1117/1.2352732
History: Received October 10, 2005; Revised January 26, 2006; Accepted February 03, 2006; Published September 18, 2006
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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.

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© 2006 Society of Photo-Optical Instrumentation Engineers

Citation

Sergio Barbero and Larry N. Thibos
"Error analysis and correction in wavefront reconstruction from the transport-of-intensity equation", Opt. Eng. 45(9), 094001 (September 18, 2006). ; http://dx.doi.org/10.1117/1.2352732


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