Abstract

In this paper, we demonstrate two image reconstruction schemes for continuously self-imaging gratings (CSIGs). CSIGs are diffractive optical elements that generate a depth-invariant propagation pattern and sample objects with a sparse spatial frequency spectrum. To compensate for the sparse sampling, we apply two methods with different regularizations for CSIG imaging. The first method employs continuity of the spatial frequency spectrum, and the second one uses sparsity of the intensity pattern. The two methods are demonstrated with simulations and experiments.

© 2013 Optical Society of America

Optimal conditions for using the binary approximation of continuously self-imaging gratings

Martin Piponnier, Guillaume Druart, Nicolas Guérineau, Jean-Louis de Bougrenet, and Jérôme Primot
Opt. Express 19(23) 23054-23066 (2011)

Three-dimensional imaging using continuously self-imaging gratings

Martin Piponnier, Guillaume Druart, Ryoichi Horisaki, Nicolas Guérineau, Jérôme Primot, Laurent Mugnier, and François Goudail
Opt. Lett. 38(20) 4058-4061 (2013)

Nonparaxial analysis of continuous self-imaging gratings in oblique illumination

Guillaume Druart, Nicolas Guérineau, Riad Haïdar, Jérôme Primot, Pierre Chavel, and Jean Taboury
J. Opt. Soc. Am. A 24(10) 3379-3387 (2007)

Relevance of continuously self-imaging gratings for noise robust imagery

Martin Piponnier, Ryoichi Horisaki, Guillaume Druart, Nicolas Guérineau, Alain Kattnig, and Jérôme Primot
Opt. Lett. 37(17) 3492-3494 (2012)

Generation of achromatic and propagation-invariant spot arrays by use of continuously self-imaging gratings

N. Guérineau, B. Harchaoui, J. Primot, and K. Heggarty
Opt. Lett. 26(7) 411-413 (2001)