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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 53, Iss. 27 — Sep. 20, 2014
  • pp: G1–G11

Separating twin images and locating the center of a microparticle in dense suspensions using correlations among reconstructed fields of two parallel holograms

Hangjian Ling and Joseph Katz  »View Author Affiliations

Applied Optics, Vol. 53, Issue 27, pp. G1-G11 (2014)

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This paper deals with two issues affecting the application of digital holographic microscopy (DHM) for measuring the spatial distribution of particles in a dense suspension, namely discriminating between real and virtual images and accurate detection of the particle center. Previous methods to separate real and virtual fields have involved applications of multiple phase-shifted holograms, combining reconstructed fields of multiple axially displaced holograms, and analysis of intensity distributions of weakly scattering objects. Here, we introduce a simple approach based on simultaneously recording two in-line holograms, whose planes are separated by a short distance from each other. This distance is chosen to be longer than the elongated trace of the particle. During reconstruction, the real images overlap, whereas the virtual images are displaced by twice the distance between hologram planes. Data analysis is based on correlating the spatial intensity distributions of the two reconstructed fields to measure displacement between traces. This method has been implemented for both synthetic particles and a dense suspension of 2 μm particles. The correlation analysis readily discriminates between real and virtual images of a sample containing more than 1300 particles. Consequently, we can now implement DHM for three-dimensional tracking of particles when the hologram plane is located inside the sample volume. Spatial correlations within the same reconstructed field are also used to improve the detection of the axial location of the particle center, extending previously introduced procedures to suspensions of microscopic particles. For each cross section within a particle trace, we sum the correlations among intensity distributions in all planes located symmetrically on both sides of the section. This cumulative correlation has a sharp peak at the particle center. Using both synthetic and recorded particle fields, we show that the uncertainty in localizing the axial location of the center is reduced to about one particle’s diameter.

© 2014 Optical Society of America

OCIS Codes
(100.6890) Image processing : Three-dimensional image processing
(180.6900) Microscopy : Three-dimensional microscopy
(090.1995) Holography : Digital holography

Original Manuscript: March 7, 2014
Revised Manuscript: May 15, 2014
Manuscript Accepted: May 22, 2014
Published: July 7, 2014

Virtual Issues
Vol. 9, Iss. 11 Virtual Journal for Biomedical Optics

Hangjian Ling and Joseph Katz, "Separating twin images and locating the center of a microparticle in dense suspensions using correlations among reconstructed fields of two parallel holograms," Appl. Opt. 53, G1-G11 (2014)

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  1. J. Katz and J. Sheng, “Applications of holography in fluid mechanics and particle dynamics,” Annu. Rev. Fluid Mech. 42, 531–555 (2010). [CrossRef]
  2. M. K. Kim, “Principles and techniques of digital holographic microscopy,” SPIE Rev. 1, 018005 (2010).
  3. P. Langehanenberg, G. Bally, and B. Kemper, “Autofocusing in digital holographic microscopy,” 3D Res 2, 27 (2011). [CrossRef]
  4. J. Sheng, E. Malkiel, and J. Katz, “Digital holographic microscope for measuring three-dimensional particle distributions and motions,” Appl. Opt. 45, 3893–3901 (2006). [CrossRef]
  5. S. Talapatra and J. Katz, “Three-dimensional velocity measurements in a roughness sublayer using microscopic digital in-line holography and optical index matching,” Meas. Sci. Technol. 24, 024004 (2013). [CrossRef]
  6. S. J. Lee, K. W. Seo, Y. S. Choi, and M. H. Sohn, “Three-dimensional motion measurements of free-swimming microorganisms using digital holographic microscopy,” Meas. Sci. Technol. 22, 064004 (2011). [CrossRef]
  7. A. El Mallahi, C. Minetti, and F. Dubois, “Automated three-dimensional detection and classification of living organisms using digital holographic microscopy with partial spatial coherent source: application to the monitoring of drinking water resources,” Appl. Opt. 52, A68–A80 (2013). [CrossRef]
  8. R. Liu, D. K. Dey, D. Boss, P. Marquet, and B. Javidi, “Recognition and classification of red blood cells using digital holographic microscopy and data clustering with discriminant analysis,” J. Opt. Soc. Am. A 28, 1204–1210 (2011). [CrossRef]
  9. L. Wilson and R. J. Zhang, “3D localization of weak scatterers in digital holographic microscopy using Rayleigh–Sommerfeld back-propagation,” Opt. Express 20, 16735–16744 (2012). [CrossRef]
  10. S. H. Lee and D. G. Grier, “Holographic microscopy of holographically trapped three-dimensional structures,” Opt. Express 15, 1505–1512 (2007). [CrossRef]
  11. I. Yamaguchi and T. Zhang, “Phase-shifting digital holography,” Opt. Lett. 22, 1268–1270 (1997). [CrossRef]
  12. S. Lai, B. King, and M. A. Neifeld, “Wave front reconstruction by means of phase-shifting digital in-line holography,” Opt. Commun. 173, 155–160 (2000). [CrossRef]
  13. P. Y. Guo and A. J. Devaney, “Digital microscopy using phase-shifting digital holography with two reference waves,” Opt. Lett. 29, 857–859 (2004). [CrossRef]
  14. X. F. Meng, L. Z. Cai, X. F. Xu, X. L. Yang, X. X. Shen, G. Y. Dong, and Y. R. Wang, “Two-step phase-shifting interferometry and its application in image encryption,” Opt. Lett. 31, 1414–1416 (2006). [CrossRef]
  15. J. P. Liu and T. C. Poon, “Two-step-only quadrature phase-shifting digital holography,” Opt. Lett. 34, 250–252 (2009). [CrossRef]
  16. M. Lin, K. Nitta, O. Matoba, and Y. Awatsuji, “Parallel phase-shifting digital holography with adaptive function using phase-mode spatial light modulator,” Appl. Opt. 51, 2633–2637 (2012). [CrossRef]
  17. Y. Awatsuji, T. Tahara, A. Kaneko, T. Koyama, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Parallel two-step phase-shifting digital holography,” Appl. Opt. 47, D183–D189 (2008). [CrossRef]
  18. H. Suzuki, T. Nomura, E. Nitanai, and T. Numata, “Dynamic recording of a digital hologram with single exposure by a wave-splitting phase-shifting method,” Opt. Rev. 17, 176–180 (2010). [CrossRef]
  19. M. A. Araiza-Esquivel, L. Martinez-Leon, B. Javidi, P. Andres, J. Lancis, and E. Tajahuerce, “Single-shot color digital holography based on the fractional Talbot effect,” Appl. Opt. 50, B96–B101 (2011). [CrossRef]
  20. H. Toge, H. Fujiwara, and K. Sato, “One-shot digital holography for recording color 3-D images,” Proc. SPIE 6912, 69120U (2008). [CrossRef]
  21. S. Murata, D. Harada, and Y. Tanaka, “Spatial phase-shifting digital holography for three-dimensional particle tracking velocimetry,” Jpn. J. Appl. Phys. 48, 09LB01 (2009).
  22. N. T. Shaked, T. M. Newpher, M. D. Ehlers, and A. Wax, “Parallel on-axis holographic phase microscopy of biological cells and unicellular microorganism dynamics,” Appl. Opt. 49, 2872–2878 (2010). [CrossRef]
  23. B. Das, C. S. Yelleswarapu, and D. V. G. L. N. Rao, “Parallel-quadrature phase-shifting digital holographic microscopy using polarization beam splitter,” Opt. Commun. 285, 4954–4960 (2012). [CrossRef]
  24. T. Nomura, S. Murata, E. Nitanai, and T. Numata, “Phase-shifting digital holography with a phase difference between orthogonal polarizations,” Appl. Opt. 45, 4873–4877 (2006). [CrossRef]
  25. T. Tahara, K. Ito, M. Fujii, T. Kakue, Y. Shimozato, Y. Awatsuji, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Experimental demonstration of parallel two-step phase-shifting digital holography,” Opt. Express 18, 18975–18980 (2010). [CrossRef]
  26. T. Kakue, R. Yonesaka, T. Tahara, Y. Awatsuji, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “High-speed phase imaging by parallel phase-shifting digital holography,” Opt. Lett. 36, 4131–4133 (2011). [CrossRef]
  27. V. Mico, J. Garcia, Z. Zalevsky, and B. Javidi, “Phase-shifting Gabor holography,” Opt. Lett. 34, 1492–1494 (2009). [CrossRef]
  28. L. Denis, C. Fournier, T. Fournel, and C. Ducottet, “Twin-image noise reduction by phase retrieval in in-line digital holography,” Proc. SPIE 5914, 59140J (2005). [CrossRef]
  29. Y. Zhang, G. Pedrini, W. Osten, and H. J. Tiziani, “Reconstruction of in-line digital holograms from two intensity measurements,” Opt. Lett. 29, 1787–1789 (2004). [CrossRef]
  30. G. Situ, J. P. Ryle, U. Gopinathan, and J. T. Sheridan, “Generalized in-line digital holographic technique based on intensity measurements at two different planes,” Appl. Opt. 47, 711–717 (2008). [CrossRef]
  31. B. Das and C. S. Yelleswarapu, “Dual plane in-line digital holographic microscopy,” Opt. Lett. 35, 3426–3428 (2010). [CrossRef]
  32. Y. Zhang, G. Pedrini, W. Osten, and H. J. Tiziani, “Whole optical wave field reconstruction from double or multi in-line holograms by phase retrieval algorithm,” Opt. Express 11, 3234–3241 (2003). [CrossRef]
  33. L. Rong, F. Pan, W. Xiao, Y. Li, and F. J. Wang, “Twin image elimination from two in-line holograms via phase retrieval,” Chin. Opt. Lett. 10, 060902 (2012). [CrossRef]
  34. Y. J. Choo and B. S. Kang, “The characteristics of the particle position along an optical axis in particle holography,” Meas. Sci. Technol. 17, 761–770 (2006). [CrossRef]
  35. Y. Yang, B. S. Kang, and Y. J. Choo, “Application of the correlation coefficient method for determination of the focal plane to digital particle holography,” Appl. Opt. 47, 817–824 (2008). [CrossRef]
  36. X. C. Wu, S. Meunier-Guttin-Cluzel, Y. C. Wu, S. Saengkaew, D. Lebrun, M. Brunel, L. H. Chen, S. Coetmellec, K. F. Cen, and G. Grehan, “Holography and micro-holography of particle fields: a numerical standard,” Opt. Commun. 285, 3013–3020 (2012). [CrossRef]
  37. F. C. Cheong, B. J. Krishnatreya, and D. G. Grier, “Strategies for three-dimensional particle tracking with holographic video microscopy,” Opt. Express 18, 13563–13573 (2010). [CrossRef]
  38. F. Slimani, G. Grehan, G. Gouesbet, and D. Allano, “Near-field Lorenz–Mie theory and its application to microholography,” Appl. Opt. 23, 4140–4148 (1984). [CrossRef]
  39. D. Kapfenberger, A. Sonn-Segev, and Y. Roichman, “Accurate holographic imaging of colloidal particle pairs by Rayleigh–Sommerfeld reconstruction,” Opt. Express 21, 12228–12237 (2013). [CrossRef]
  40. B. Tao, J. Katz, and C. Meneveau, “Statistical geometry of subgrid-scale stresses determined from holographic particle image velocimetry measurements,” J. Fluid Mech. 457, 35–78 (2002). [CrossRef]
  41. J. Sheng, E. Malkiel, and J. Katz, “Single beam two-views holographic particle image velocimetry,” Appl. Opt. 42, 235–250 (2003). [CrossRef]
  42. N. A. Buchmann, C. Atkinson, and J. Soria, “Ultra-high-speed tomographic digital holographic velocimetry in supersonic particle-laden jet flows,” Meas. Sci. Technol. 24, 024005 (2013). [CrossRef]

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