The Gerchberg–Papoulis Method in Low-Angle Optical Hilbert Diagnostics of Phase Structures

The Gerchberg–Papoulis Method in Low-Angle Optical Hilbert Diagnostics of Phase Structures Full article

Journal

Optoelectronics, Instrumentation and Data Processing
ISSN: 8756-6990

Output data

Year: 2023, Volume: 59, Number: 5, Pages: 627–634 Pages count : 8 DOI: 10.3103/S8756699023050138

Funding (1)

Sobolev Institute of Mathematics

FWNF-2022-0009

The possibility of processing small-view hilbertograms by the Gerchberg–Papoulis method to restore the spatial distribution of the refractive index was studied. The method consists in iterative transitions from the function estimates in the frequency and coordinate spaces with correction based on a priori information. Numerical modeling of the refractive index reconstruction for various test functions by the Gerchberg–Papoulis method using the Radon data, known for four angles, has been carried out. Using a four-angle tomographic complex implemented on the basis of a modified IAB-463M shadow device, experimental studies were carried out by the example of optical Hilbert diagnostics of reacting media in a high-speed shooting mode (up to 2000 frames per second).

Arbuzov E.V. , Arbuzov V.A. , Dubnishchev Y.N. , Zolotukhina O.S. , Lapikov M.M. , Lukashov V.V.
The Gerchberg–Papoulis Method in Low-Angle Optical Hilbert Diagnostics of Phase Structures
Optoelectronics, Instrumentation and Data Processing. 2023. V.59. N5. P.627–634. DOI: 10.3103/S8756699023050138 WOS Scopus РИНЦ OpenAlex

Submitted:	Jun 26, 2023
Accepted:	Sep 25, 2023
Published print:	Oct 18, 2023
Published online:	Dec 10, 2023

Web of science:	WOS:001116849700001
Scopus:	2-s2.0-85179319892
Elibrary:	64245071
OpenAlex:	W4389517385

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