Reduction of the ringing effect in off-axis digital holography reconstruction from two reconstruction distances based on Talbot effect

Miguel León-Rodríguez; Raúl  R. Cordero; Juan  A. Rayas; Amalia Martínez-García; Adrián Martínez-Gonzalez; Fernando Labbe; Alejandro Téllez-Quiñones; Victor Flores-Muñoz

doi:10.1117/1.OE.54.10.104110

16 October 2015 Reduction of the ringing effect in off-axis digital holography reconstruction from two reconstruction distances based on Talbot effect

Miguel León-Rodríguez, Raúl R. Cordero, Juan A. Rayas, Amalia Martínez-García, Adrián Martínez-Gonzalez, Fernando Labbe, Alejandro Téllez-Quiñones, Victor Flores-Muñoz

Author Affiliations +

Funded by: FONDECYT, Fondo Nacional de Desarrollo Científico y Tecnológico (FONDECYT), FONDEF, Fondo de Fomento al Desarrollo Cinetífico y Tecnológico, CORFO, Corporación de Fomento de la Producción CORFO, USACH-DICYT ASOCIATIVO SEP-PROMEP, Secretaría de Educación Pública - Programa de Mejoramiento del Profesorado, UTFSM-DGIP, CONICYT-PCHA/Doctorado Nacional

Optical Engineering, Vol. 54, Issue 10, 104110 (October 2015). https://doi.org/10.1117/1.OE.54.10.104110

Abstract

A simple strategy based on wavefront propagation in the Fresnel regime to reduce a ringing effect by using an ideal filter in off-axis digital holography (DH) is presented. In addition, we demonstrate a better focusing capacity by using this ideal filter than Butterworth and Gaussian methods. It also provides a way to increase the visibility of the refocused plane by reducing the influence of the out-of-focus planes. We also use the unique feature of the refocusing capability of DH in the reconstructed and enhanced image, which is obtained from the averaging operation between the image at the focused image plane (z=z_hd₀) and the first Talbot distance order (z=z_hd₁). This distance is determined by the periodic ringing. Reductions of 50% of these anomalies are computed in simulation and 30% is obtained experimentally (nearly 2 nm). Also a numerical simulation shows that the focusing resolution is directly related to the filter size and shows a 0.8 mm focus zone with an ideal filter. Numerical simulations and experimental results are carried out to validate the proposal.

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Miguel León-Rodríguez, Raúl R. Cordero, Juan A. Rayas, Amalia Martínez-García, Adrián Martínez-Gonzalez, Fernando Labbe, Alejandro Téllez-Quiñones, and Victor Flores-Muñoz "Reduction of the ringing effect in off-axis digital holography reconstruction from two reconstruction distances based on Talbot effect," Optical Engineering 54(10), 104110 (16 October 2015). https://doi.org/10.1117/1.OE.54.10.104110

Published: 16 October 2015

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