Experimental study of the effects of the spatial filtering on off-axis digital holography operating out and in of the diffraction limit
R. Castañeda, D. Hincapié-Zulauga, J. García-Sucerquia
Download Paper
Base Information
Volume
V50 - N1 / 2017 Ordinario
Reference
93-102
DOI
http://doi.org/10.7149/OPA.50.1.49016
Language
Spanish
Keywords
Digital holography, spatial filter, diffraction limit
Abstract
This paper presents a theoretical and experimental analysis of the close relationship between the recording of digital holograms operating out or in of the diffraction limit and the spatial filtering process in the overall performance of the numerical reconstruction of the digitally recorded holograms. The results allow to conclude that it is not possible to make a correct spatial filtering for a reliable numerical reconstruction of the recorded holograms, if the recording is not made in the diffraction limit or presents overlapping of the diffraction orders.
References
U. Schnars and W. Jüptner, "Direct recording of holograms by a CCD target and numerical reconstruction.", Appl. Opt. 33, 179–81 (1994). DOI
M. K. Kim, Digital Holographic Microscopy. Principles, techniques, and Aplications, Springer, (2011). DOI
A. Asundi, Digital Holography for MEMS and Microsystem Metrology, (2011).
O. Matoba and B. Javidi, "Encrypted optical memory system using three-dimensional keys in the Fresnel domain", Opt. Lett. 24, 762–764 (1999). DOI
J. W. Goodman, Statistical Optics, Wiley, (1985).
D. Hincapie, J. Herrera-Ramírez, J. Garcia-Sucerquia, J. Herrera-Ramirez, and J. Garcia-Sucerquia, "Single-shot speckle reduction in numerical reconstruction of digitally recorded holograms", Opt. Lett. 40, 1623–1626 (2015). DOI
J. Garcia-Sucerquia, J. H. Ramírez, R. Castaneda, J. Herrera-Ramírez, and R. Castaneda, "Incoherent recovering of the spatial resolution in digital holography", Opt. Commun. 260, 62–67 (2006). DOI
J. Garcia-Sucerquia, J. H. Ramírez, and D. Velasquez Prieto, "Reduction of spleckle noise in digital holography by using digital image processing", Opt. J. Light Electron Opt. 116, 44–48 (2005). DOI
J. W. Goodman, Introduction to Fourier Optics, Roberst & Company Publishers, Greenwood Village, Colo, (2005).
T. Kreis, Handbook of Holographic Interferometry: Optical and Digital Methods, Wiley-vch Verlag Ed, Weinheim, Weinheim, (2005).
O. K. Ersoy, Diffraction, Fourier Optics and Imaging, Hobenken, New Jersey, (2006).
J. Li and P. Picart, "Calculating Diffraction by Fast Fourier Transform", Digit. Hologr. 77–114 (2012).
T. Kreis, Handbook of Holographic Interferometry, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG, (2004).
J. F. Restrepo and J. Garcia-Sucerquia, "Magnified reconstruction of digitally recorded holograms by Fresnel-Bluestein transform.", Appl. Opt. 49, 6430–6435 (2010). DOI
D. Mendlovic, Z. Zalevsky, and N. Konforti, "Computation considerations and fast algorithms for calculating the diffraction integral", J. Mod. Opt. 44, 407–414 (1997). DOI
M. Sypek, C. Prokopowicz, and M. Go´recki, "Image multiplying and high-frequency oscillations effects in the Fresnel region light propagation simulation", Opt. Eng. 42, 3158–3164 (2003). DOI
R. Castañeda, W. Toro, and J. Garcia-Sucerquia, "Evaluation of the limits of application for numerical diffraction methods based on basic optics concepts", Opt. - Int. J. Light Electron Opt. 126, 5963–5970 (2015). DOI
M. Takeda, H. Ina, and S. Kobayashi, "Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry", J. Opt. Soc. Am. 72, 156–160 (1982). DOI
E. Cuche, P. Marquet, and C. Depeursinge, "Spatial Filtering for zero-order and twin-image elimination in digital off-axis holography", Appl. Opt. 39, 4070–4075 (2000). DOI
S. De Nicola, P. Ferraro, A. Finizio, and G. Pierattini, "Wave front reconstruction of Fresnel off-axis holograms with compensation of aberrations by means of phase-shifting digital holography", Opt. Lasers Eng. 37, 331–340 (2002). DOI
B. Sha, Y. Lu, Y. Xie, Q. Yue, and C. Guo, "Fast reconstruction of multiple off-axis holograms based on a combination of complex encoding and digital spatial multiplexing", Chinese Opt. Lett. 14, 60902 (2016). DOI
V. Katkovnik, I. A. Shevkunov, N. V Petrov, and K. Egiazarian, "Wavefront reconstruction in digital offaxis holography via sparse coding of amplitude and absolute phase", Opt. Lett. 40, 2417–2420 (2015). DOI
M. Karray, P. Slangen, and P. Picart, "Comparison between Digital Fresnel Holography and Digital Image-Plane Holography: The Role of the Imaging Aperture", Exp. Mech. 52, 1275–1286 (2012). DOI
P. Picart, M. Karray, and P. Slangen, "Some Considerations About the Role of the Diaphragm in Digital Image-Plane Holography", DW4C.6 (2012).
E. Sánchez-Ortiga, A. Doblas, G. Saavedra, M. Martínez-Corral, G. Saavedra, and J. Garcia-Sucerquia, "Off-axis digital holographic microscopy: practical design parameters for operating at diffraction limit", Appl. Opt. 53, 2058–2066 (2014). DOI
N. Verrier and M. Atlan, "Off-axis digital hologram reconstruction: some practical considerations", Appl. Opt. 50, H136–H146 (2011). DOI
L. Xu, J. Miao, and A. Asundi, "Properties of digital holography based on in-line configuration", Opt. Eng. 39, 3214–3219 (2000). DOI
P. Piedrahita-Quintero, R. Castañeda, and J. Garcia-Sucerquia, "Numerical wave propagation in ImageJ", Appl. Opt. 54, 6410–6415 (2015). DOI
P. Piedrahita, R. Castañeda, and J. Garcia-Sucerquia, Numerical Propagation