Riesz transform-based digital four-step phase-shifting interferometer

Yassine Tounsi; Manoj Kumar; Ahmed Siari; Fernando Mendoza-Santoyo; Osamu Matoba; Abdelkrim Nassim

doi:10.1117/12.2555356

1 April 2020 Riesz transform-based digital four-step phase-shifting interferometer

Yassine Tounsi, Manoj Kumar, Ahmed Siari, Fernando Mendoza-Santoyo, Osamu Matoba, Abdelkrim Nassim

Proceedings Volume 11353, Optics, Photonics and Digital Technologies for Imaging Applications VI; 113530R (2020) https://doi.org/10.1117/12.2555356
Event: SPIE Photonics Europe, 2020, Online Only

Abstract

Phase-shifting interferometry is a highly accurate technique for obtaining phase distribution from the recorded fringe patterns. Generally, phase-shifting interferometry requires recording several fringe patterns with varying phase shifts experimentally and during the acquisition, the object must be stable. Also, the atmospheric turbulence and mechanical conditions should also remain constant during this time. These requirements limit the use of these phase-shifting interferometric techniques in dynamic event studies. In the present work, we introduce Riesz transformed based digital four-step phase-shifting interferometer to obtain phase distribution from a single recorded fringe pattern. All the experimental phase-shifting setups necessary to realize the phase-shifting are removed. The idea is based on the recording of a single fringe pattern, and computes its Riesz transform at first, second and third-orders. The obtained Riesz transform components are combined to generate three π/2 phase-shifted fringe patterns, and then, the phase distribution is obtained from these phase-shifted fringe patterns. The performance of this method is demonstrated first by using numerical simulation and the quantitative appraisal is given by using image quality index. Further, we apply this technique on a real fringe pattern recorded in digital speckle pattern interferometry (DSPI). The obtained results reveal that our method provides a simple and accurate solution for phase evaluation, therefore, makes it suitable for real-time measurements.

Conference Presentation

Citation Download Citation

Yassine Tounsi, Manoj Kumar, Ahmed Siari, Fernando Mendoza-Santoyo, Osamu Matoba, and Abdelkrim Nassim "Riesz transform-based digital four-step phase-shifting interferometer", Proc. SPIE 11353, Optics, Photonics and Digital Technologies for Imaging Applications VI, 113530R (1 April 2020); https://doi.org/10.1117/12.2555356

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