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

Sergio Barbero; Larry N. Thibos

doi:10.1117/1.2352732

1 September 2006 Error analysis and correction in wavefront reconstruction from the transport-of-intensity equation

Sergio Barbero, Larry N. Thibos

Author Affiliations +

Optical Engineering, Vol. 45, Issue 9, 094001 (September 2006). https://doi.org/10.1117/1.2352732

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.

©(2006) Society of Photo-Optical Instrumentation Engineers (SPIE)

Citation Download Citation

Sergio Barbero and Larry N. Thibos "Error analysis and correction in wavefront reconstruction from the transport-of-intensity equation," Optical Engineering 45(9), 094001 (1 September 2006). https://doi.org/10.1117/1.2352732

Published: 1 September 2006

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available