On the refractive index restoration based on four-angle Hilbert tomography data Full article
| Journal |
Eurasian Journal of Mathematical and Computer Applications
ISSN: 2306-6172 , E-ISSN: 2308-9822 |
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| Output data | Year: 2025, Volume: 13, Number: 4, Pages: 31-40 Pages count : 10 | ||||
| Tags | Hilbert optics, phase problem, low-angle tomography. | ||||
| Authors |
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| Affiliations |
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Funding (2)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0009 |
| 2 | Institute of Thermophysics SB RAS, Novosibirsk, Russia | 121031800217-8 |
Abstract:
The paper considers the inverse problem of determining the refractive index of optical media using four-angle Hilbert visualization of phase disturbances. The phase functions for each projection (Radon data) are reconstructed using the Gauss-Newton iterative algorithm. The refractive index is determined using the Gerchberg–Papoulis algorithm based on a discrete analog of the central slice theorem for the four-angle case. The results of numerical modeling are presented.
Cite:
Arbuzov E.V.
, Zolotukhina O.S.
On the refractive index restoration based on four-angle Hilbert tomography data
Eurasian Journal of Mathematical and Computer Applications. 2025. V.13. N4. P.31-40. WOS
On the refractive index restoration based on four-angle Hilbert tomography data
Eurasian Journal of Mathematical and Computer Applications. 2025. V.13. N4. P.31-40. WOS
Dates:
| Submitted: | Nov 11, 2024 |
| Accepted: | Apr 25, 2025 |
| Published online: | Dec 31, 2025 |
Identifiers:
| Web of science: | WOS:001654868300003 |
Citing:
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