Obtaining the wavefront phase maps of free form surfaces: using the least squares algorithm

Brenda Villalobos Mendoza, Daniel Aguirre-Aguirre

Research output: Chapter in Book/Report/Conference proceedingConference contribution


In this work is presented the validation of the least squares algorithm proposed by Morgan (1982) and Greivenkamp (1984), to obtain the wavefront phase maps of a free form surface. The validation was made by simulating the synthetic interferograms of a free form surface using a Bessel function, each interferogram was simulated with a phase-shifting of π/20. This algorithm is applied to the experimental interferograms that are obtained in a Twyman-Green interferometer where the phase shifting is achieved by using a SLM (Spatial Light Modulator) that is placed in one of its arms; the phase shifts are achieved by displaying all the gray levels from 0 to 255 in the SLM. The phase shifts that are performed in this experimental setup are lower than π/4, therefore the conventional algorithms cannot be applied.

Original languageEnglish
Title of host publicationJournal of Physics: Conference Series
Publication statusPublished - 14 Jan 2015

Publication series

NameJournal of Physics: Conference Series
PublisherIOP Publishing Ltd.
ISSN (Print)1742-6588

Bibliographical note

Publisher Copyright:
© Published under licence by IOP Publishing Ltd.

Copyright 2018 Elsevier B.V., All rights reserved.

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


Dive into the research topics of 'Obtaining the wavefront phase maps of free form surfaces: using the least squares algorithm'. Together they form a unique fingerprint.

Cite this