Digital holography reconstruction algorithms to estimate the morphology and depth of nonspherical absorbing particles

In digital holography an object wave is numerically reconstructed from a recorded hologram. Using this technique it is possible to detect the position and size of particles in a 3D domain. In this work, particular focus is placed on quantification of particles with non-spherical morphologies. The in-line configuration is chosen due to the simplicity of the optical setup and minimal distortions of in-plane morphologies. However, this geometry is also characterized by a large depth-of-focus and high uncertainty in the detected depth. To quantify these uncertainties, this work begins with the definition of a non-dimensional model of hologram recording and reconstruction applied to single spherical and nonspherical particles. Typical CCD noise sources are included. Application of this model to two particle detection methods reveals the relevant merits and limitations of each particle detection method. From the lessons learned, a new hybrid particle detection method is proposed. Simulations indicate the hybrid method significantly improves upon the accuracy of the measured depth and particle morphologies. Furthermore, the proposed method automatically determines the optimum threshold for each particle, and, therefore, requires minimal user inputs. Finally, initial experimental results for spherical particles confirm the accuracy of the proposed hybrid method.

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

[2]  J. Goodman Introduction to Fourier optics , 1969 .

[3]  Jay Martin Tenenbaum,et al.  Accommodation in computer vision , 1971 .

[4]  M. Gu,et al.  Effect of an ultrashort pulse on Fresnel diffraction by a circular opaque disk , 1996 .

[5]  Min Gu,et al.  Fresnel diffraction by circular and serrated apertures illuminated with an ultrashort pulsed-laser beam , 1996 .

[6]  Klaus D. Mielenz,et al.  Algorithms for Fresnel Diffraction at Rectangular and Circular Apertures , 1998, Journal of research of the National Institute of Standards and Technology.

[7]  Werner P. O. Jueptner,et al.  Particle analysis with digital holography , 2000, SPIE Optics + Photonics.

[8]  Mokrane Malek,et al.  Digital in-line holography: influence of the shadow density on particle field extraction. , 2004, Optics express.

[9]  Aleksandr V Sergeyev,et al.  Airborne digital holographic system for cloud particle measurements. , 2004, Applied optics.

[10]  U. Schnars,et al.  Digital Holography: Digital Hologram Recording, Numerical Reconstruction, and Related Techniques , 2004 .

[11]  D. Lebrun,et al.  Particle field characterization by digital in-line holography: 3D location and sizing , 2005 .

[12]  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.

[13]  Yan Yang,et al.  Potential of digital holography in sprays measurement , 2008, 2008 7th World Congress on Intelligent Control and Automation.

[14]  Bo-Seon Kang,et al.  Application of the correlation coefficient method for determination of the focal plane to digital particle holography. , 2008, Applied optics.

[15]  Jacob P. Fugal,et al.  Practical methods for automated reconstruction and characterization of particles in digital in-line holograms , 2009 .

[16]  K. Sallam,et al.  DEMONSTRATION OF DIGITAL HOLOGRAPHIC DIAGNOSTICS FOR THE BREAKUP OF LIQUID JETS USING A COMMERCIAL-GRADE CCD SENSOR , 2009 .

[17]  Yan Yang,et al.  Measurements of the characteristics of spray droplets using in-line digital particle holography , 2009 .

[18]  L. Tian,et al.  Quantitative measurement of size and three-dimensional position of fast-moving bubbles in air-water mixture flows using digital holography. , 2010, Applied optics.

[19]  P. K. Panigrahi,et al.  Improved digital holographic reconstruction algorithm for depth error reduction and elimination of out-of-focus particles. , 2010, Optics express.

[20]  Joseph Katz,et al.  Turbulent shearing of crude oil mixed with dispersants generates long microthreads and microdroplets. , 2010, Physical review letters.

[21]  J. Katz,et al.  Applications of Holography in Fluid Mechanics and Particle Dynamics , 2010 .

[22]  Zhihua Wang,et al.  Coal powder measurement by digital holography with expanded measurement area. , 2011, Applied optics.

[23]  Anand Asundi,et al.  Accurate size measurement of needle-shaped particles using digital holography , 2011 .

[24]  Bo-Seon Kang,et al.  Digital particle holographic system for measurements of spray field characteristics , 2011 .

[25]  Yan Yang,et al.  Integrated gray-level gradient method applied for the extraction of three-dimensional velocity fields of sprays in in-line digital holography. , 2012, Applied optics.