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Non-Linear Reconstruction of Images from Patterns Generated by Deterministic or Random Optical Masks – Concepts and Review of Research

Daniel SmithOptical Sciences Center and ARC Training Centre in Surface Engineering for Advanced Materials (SEAM),Shivasubramanian GopinathFrancis Gracy ArockiarajPG & Research Department of Physics, The American College, Madurai, Tamil Nadu, India;Andra Naresh Kumar ReddyLaboratory of Nonlinear Optics, University of Latvia, Jelgavas 3, Riga, LV -1004, Latvia;B. R. VinothDivision of Biological and Environmental Sciences and Engineering, King Abdullah University of Science and Technology, Thuwal 23955-6900, Saudi Arabia;Ravi KumarSchool of Electrical and Computer Engineering, Ben-Gurion University of the Negev, P.O. Box 653, 8410501, Beer-Sheva, Israel;Nitin DubeySchool of Electrical and Computer Engineering, Ben-Gurion University of the Negev, P.O. Box 653, 8410501, Beer-Sheva, Israel;Soon Hock NgOptical Sciences Center and ARC Training Centre in Surface Engineering for Advanced Materials (SEAM),Tomas KatkusOptical Sciences Center and ARC Training Centre in Surface Engineering for Advanced Materials (SEAM),Shakina Jothi SelvaPG & Research Department of Physics, The American College, Madurai, Tamil Nadu, India;Dhanalakshmi RenganathanBeaula Ruby Kamalam ManueldossAravind Simon John Francis RajeswarySrinivasan NavaneethakrishnanS.S.R. InbanathanPG & Research Department of Physics, The American College, Madurai, Tamil Nadu, India;Sandhra-Mirella ValdmaInstitute of Physics, University of Tartu, W. Ostwaldi 1, Tartu 50411, Estonia;Praveen Periyasamy AngamuthuOrganic Optoelectronics Research Laboratory, Department of Physics, Indian Institute of Science Education and Research (IISER), Tirupati 517 507 Andhra Pradesh, India;J. AmudhavelSchool of Computing Science and Engineering, VIT Bhopal University;Manoj KumarInstitute of Physics, University of Tartu, W. Ostwaldi 1, Tartu 50411, Estonia;R. A. GaneevLaboratory of Nonlinear Optics, University of Latvia, Jelgavas 3, Riga, LV -1004, Latvia;Pierre J. MagistrettiDivision of Biological and Environmental Sciences and Engineering, King Abdullah University of Science and Technology, Thuwal 23955-6900, Saudi Arabia;Christian DepeursingeSaulius JuodkazisSchool of Science, Computing and Engineering Technologies, Optical Sciences Center, Swinburne Univer-sity of Technology, Hawthorn, Melbourne, Victoria 3122, Australia;Joseph RosenSchool of Electrical and Computer Engineering, Ben-Gurion University of the Negev, P.O. Box 653, 8410501, Beer-Sheva, Israel;Vijayakumar AnandInstitute of Physics, University of Tartu, W. Ostwaldi 1, Tartu 50411, Estonia;
Preprints.orgrepository2022en
ABI

Аннотация

Indirect imaging methods involve at least two steps, namely optical recording, and computational reconstruction. The optical recording process uses an optical modulator that transforms the light from the object into a typical intensity distribution. This distribution is numerically processed to reconstruct the object’s image corresponding to different spatial and spectral dimensions. There have been numerous optical modulation functions and reconstruction methods developed in the past years for different applications. In most cases, a compatible pair of optical modulation function and reconstruction method gives optimal performance. A new reconstruction method termed non-linear reconstruction (NLR) was developed in 2017 to reconstruct the object image in the case of optical scattering modulators. During the years, it was revealed that the NLR could reconstruct an object’s image modulated by an axicons, bifocal lenses and even exotic spiral diffractive elements, which generate deterministic optical fields. Apparently, NLR seems to be a universal reconstruction method for indirect imaging. In this review, the performance of NLR has been investigated for many deterministic and stochastic optical fields. Simulation and experimental results for different cases are presented and discussed.

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