Improved particle position accuracy from off-axis holograms using a Chebyshev model.

Side scattered light from micrometer-sized particles is recorded using an off-axis digital holographic setup. From holograms, a volume is reconstructed with information about both intensity and phase. Finding particle positions is non-trivial, since poor axial resolution elongates particles in the reconstruction. To overcome this problem, the reconstructed wavefront around a particle is used to find the axial position. The method is based on the change in the sign of the curvature around the true particle position plane. The wavefront curvature is directly linked to the phase response in the reconstruction. In this paper we propose a new method of estimating the curvature based on a parametric model. The model is based on Chebyshev polynomials and is fit to the phase anomaly and compared to a plane wave in the reconstructed volume. From the model coefficients, it is possible to find particle locations. Simulated results show increased performance in the presence of noise, compared to the use of finite difference methods. The standard deviation is decreased from 3-39 μm to 6-10 μm for varying noise levels. Experimental results show a corresponding improvement where the standard deviation is decreased from 18 μm to 13 μm.

[1]  Michael Atlan,et al.  Off-axis digital hologram reconstruction: some practical considerations. , 2011, Applied optics.

[2]  Laurence G. Wilson,et al.  3D Localization of weak scatterers in digital holographic microscopy using Rayleigh-Sommerfeld back-propagation , 2012 .

[3]  Pasquale Memmolo,et al.  Recent advances in holographic 3D particle tracking , 2015 .

[4]  K. Cen,et al.  3D imaging of individual burning char and volatile plume in a pulverized coal flame with digital inline holography , 2017 .

[5]  David M. Kaz,et al.  Measuring translational, rotational, and vibrational dynamics in colloids with digital holographic microscopy. , 2011, Optics express.

[6]  Dug Young Kim,et al.  Volumetric reconstruction of Brownian motion of a micrometer-size bead in water , 2013 .

[7]  J. W. Goodman,et al.  Digital Image Formation From Electronically Detected Holograms , 1967, Other Conferences.

[8]  Matthew Berg,et al.  Quasi-three-dimensional particle imaging with digital holography. , 2017, Applied optics.

[9]  D. Gabor.  A New Microscopic Principle , 1948, Nature.

[10]  M. Berg,et al.  Simultaneous holographic imaging and light-scattering pattern measurement of individual microparticles. , 2016, Optics letters.

[11]  Fook Chiong Cheong,et al.  Strategies for three-dimensional particle tracking with holographic video microscopy. , 2010, Optics express.

[12]  M. Brunel,et al.  Simultaneous amplitude and phase contrast imaging of burning fuel particle and flame with digital inline holography: Model and verification , 2017 .

[13]  W. Steen.  Absorption and Scattering of Light by Small Particles , 1999 .

[14]  Hui Meng,et al.  Digital holography of particle fields: reconstruction by use of complex amplitude. , 2003, Applied optics.

[15]  M. Schmid.  Principles Of Optics Electromagnetic Theory Of Propagation Interference And Diffraction Of Light , 2016 .

[16]  J. Katz,et al.  Digital holographic microscope for measuring three-dimensional particle distributions and motions. , 2006, Applied optics.

[17]  Ye Pu,et al.  Holographic particle image velocimetry: from film to digital recording , 2004 .

[18]  H. Meng,et al.  Digital holographic particle validation via complex wave. , 2007, Applied optics.

[19]  Yong-Seok Choi,et al.  Advances in digital holographic micro-PTV for analyzing microscale flows , 2012 .

[20]  Hui Meng,et al.  Intrinsic aberrations due to Mie scattering in particle holography. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.

[21]  M. Abramowitz,et al.  Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .

[22]  Ferréol Soulez,et al.  Inverse-problem approach for particle digital holography: accurate location based on local optimization. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[24]  Matthew J Berg,et al.  Measuring extinction with digital holography: nonspherical particles and experimental validation. , 2017, Optics letters.

[25]  Mikael Sjödahl,et al.  Off-axis digital holographic particle positioning based on polarization-sensitive wavefront curvature estimation. , 2016, Applied optics.