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JOURNALS // Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya // Archive

Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2022 Volume 18, Issue 1, Pages 99–110 (Mi vspui518)

This article is cited in 1 paper

Applied mathematics

Numerical methods and algorithms for reconstruction of holographic images with an flexibility choice of physical size of the object and observation area

A. G. Fedorovab, V. V. Trofimova, A. G. Karpova

a St Petersburg State University, 7–9, Universitetskaya nab., St Petersburg, 199034, Russian Federation
b M. K. Ammosov North-Eastern Federal University, 58, ul. Belinskogo, Yakutsk, Republic of Sakha (Yakutia), 677027, Russian Federation

Abstract: Within the framework of this work, the numerical results of simulation and reconstruction of holographic images with different physical sizes of the object and observation areas are presented. Simple and practical approaches to relatively flexibility choice of physical areas (e. g., units of $m^2$) in both planes are proposed. Algorithms are presented in the case when the dimensions of the plane of the object and observation coincide. Two-step scattering algorithms are presented for the simulation and reconstruction of holographic images with a relatively flexibility choice of the physical areas of the object plane and observation.

Keywords: electron holography, digital image processing, Fourier transform, Fresnel method, angular spectrum method.

UDC: 620.187.3.004.932.2

MSC: 05C85

Received: October 2, 2021
Accepted: February 1, 2022

DOI: 10.21638/11701/spbu10.2022.108



© Steklov Math. Inst. of RAS, 2024