Quantitative Determination of Periodic Size Variations in an Object via Phase Singularity Tracking in CGH
DOI:
https://doi.org/10.24054/bistua.v23i1.4032Keywords:
Laguerre-Gauss transform; Optical vortices; Computer generated holographic.Abstract
In this work we demonstrate that it is possible to determine the size changes of an object from the tracking of optical vortices contained in the pseudophase information of computer generated holographic (CGH) videos, without the need for holographic reconstruction. To validate the proposal, holographic videos of a 3D object with periodic changes in size generated using a layer-based method with random phase. Two random phase approaches are tested to simulate the surface of a diffuse object during hologram generation. Next, homologous vortices are determined in the pseudophase information obtained by using the Laguerre-Gauss transform. The use of this transform allows precise control of the number of optical vortices to be tracked. The structural properties of the vortex cores are used to identified and to track the singularities and to determine the periodic variation of the object size along the frames of the holographic video.
Downloads
References
Gabor D 1948 A new microscopic principle Nature 161 777–8
Dong J, Jiang C and Jia S 2016 Digital holographic metrolog based on multi-angle interferometry Opt. Lett. 41 4301–4
Zheng J, Gao P and Shao X 2017 Opposite-view digital holographic microscopy with autofocusing capability Sci. Rep. 7 1–9
Chang C, Cui W and Gao L 2019 Holographic multiplane near-eye display based on amplitude-only wavefront modulation Opt. Express 27 30960–70
Chlipala M and Kozacki T 2019 Color LED DMD holographic display with high resolution across large depth Opt. Lett. 44 4255–8
Petrov V, Pogoda A, Sementin V, Sevryugin A, Shalymov E, Venediktov d and Venediktov V 2022 Advances in Digital Holographic Interferometry PubMed Central 8(7): 196
Carrillo-Reid L, Han S, Yang W, Akrouh A and Yuste R 2019 Controlling visually guided behavior by holographic recalling of cortical ensembles Cell 178 447–57
Carmi I, De Battista M, Maddalena L, Carroll E C, Kienzler M A and Berlin S 2019 Holographic two-photon activation for synthetic optogenetics Nat. Protocols 14 864–900
Yokota M, Takeda K and Kusunoki E 2017 Digital holographic inspection systems for industrial applications OPJ-OSA Joint Symposia on Nanophotonics and Digital Photonics paper 30pOD6.
Haleem A, Javaid M, Singh R P, Suman R and Rab S 2022 Holography and its applications for industry 4.0: An overview Internet of Things and Cyber-Physical Systems 2, 42-48
Gerchberg R. W., Saxton, W. O. (1972) A practical algorithm for the determination of phase from image and diffraction plane pictures Optik 35, 237-246.
Zhao Y, Cao L, Zhang H, Kong D, Jin G (2015) Accurate calculation of computer-generated holograms using angular-spectrum layer- oriented method. Opt. Express, 23, 25440-25449.
Nye J F and Berry M V 1974 Dislocations in wave trains Proc. R. SocA 336 165-90
Wang W, Yokozeki T, Ishijima R, Matsuda A, Hanson S G and Takeda M 2006 Optical vortex metrology for nanometric speckle displacement measurement Opt. Express 14 120-7
Wang W, Qiao Y, Ishijima R, Yokozeki T, Honda D, Matsuda A, Hanson S G and Takeda M 2008 Constellation of phase singularities in a speckle like pattern for optical vortex metrology applied to biological kinematic analysis Opt. Express 10 13908-17
Angel-Toro Sierra-Sosa D, Tebaldi M and Bolognini N 2013 In- plane displacement measurement in vortex metrology by synthetic network correlation fringes J. Opt. Soc. Am. A 30 462-9
Kumar P and Nishchal NK 2021 Formation of singular light fields using phase calibrated spatial light modulator Opt. Lasers Eng. 146 106720
Villamizar-Amado A L, Velez-Zea A and Tebaldi M 2022 Vortex technique to track 3D object displacement in CGH Journal of Optics 24(7)
Angel-Toro L, Sierra-Sosa D, Tebaldi M and Bolognini N 2012 Speckle decorrelation influence on measurements quality in vortex metrology Opt. Commun. 285 4312–6

Additional Files
Published
Versions
- 2025-06-20 (3)
- 2025-06-19 (2)
- 2025-06-18 (1)
How to Cite
Issue
Section
License
Copyright (c) 2025 © Autores; Licencia Universidad de Pamplona

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
© Autores; Licencia Universidad de Pamplona