Instrumentation, Techniques, and Measurement

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

[+] Author Affiliations
Miguel León-Rodríguez

Universidad de Santiago de Chile, Avenida Bernardo O’Higgins 3363, Santiago, Chile

Universidad Politécnica del Bicentenario, Carretera Silao-Romita Km2, C.P. 36283, Silao de la Victoria, Guanajuato, México

Centro de Investigaciones en Óptica, Loma del Bosque 115, C.P. 37150, León, Guanajuato, México

Raúl R. Cordero, Juan A. Rayas

Universidad de Santiago de Chile, Avenida Bernardo O’Higgins 3363, Santiago, Chile

Amalia Martínez-García, Alejandro Téllez-Quiñones

Centro de Investigaciones en Óptica, Loma del Bosque 115, C.P. 37150, León, Guanajuato, México

Adrián Martínez-Gonzalez, Victor Flores-Muñoz

Universidad Politécnica del Bicentenario, Carretera Silao-Romita Km2, C.P. 36283, Silao de la Victoria, Guanajuato, México

Fernando Labbe

Universidad Técnica Federico Santa María, Avenida España 1680, Valparaíso, Chile

Opt. Eng. 54(10), 104110 (Oct 16, 2015). doi:10.1117/1.OE.54.10.104110
History: Received July 21, 2015; Accepted September 16, 2015
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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=zhd0) and the first Talbot distance order (z=zhd1). 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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© 2015 Society of Photo-Optical Instrumentation Engineers

Citation

Miguel León-Rodríguez ; Raúl R. Cordero ; Juan A. Rayas ; Amalia Martínez-García ; Adrián Martínez-Gonzalez, et al.
"Reduction of the ringing effect in off-axis digital holography reconstruction from two reconstruction distances based on Talbot effect", Opt. Eng. 54(10), 104110 (Oct 16, 2015). ; http://dx.doi.org/10.1117/1.OE.54.10.104110


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