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 few years for different applications. In most cases, a compatible pair of the optical-modulation function and reconstruction method gives optimal performance. A new reconstruction method, termed nonlinear reconstruction (NLR), was developed in 2017 to reconstruct the object image in the case of optical-scattering modulators. Over the years, it has been revealed that the NLR can 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 isinvestigated for many deterministic and stochastic optical fields. Simulation and experimental results for different cases are presented and discussed.
KAUST Repository Item: Exported on 2022-06-27
Acknowledgements: D.S.: S.H.N.; T.K.; S.J. are grateful for the financial support via ARC Linkage LP190100505 project. V.A.; A.S.J.F.R.; S.-M.V. acknowledges the European Union’s Horizon 2020 research and innovation programme grant agreement No. 857627 (CIPHR). A.N.K.R. acknowledges the support from the State Education Development Agency (SEDA), Republic of Latvia (Project Number:188.8.131.52/VIAA/3/19/436) and European Regional Development Fund (184.108.40.206/19/A/003). V.B.; P.J.M.; C.D. acknowledges King Abdullah University of Science and Technology (KAUST) for the funding. V.A., A.S.J.F.R. and S.-M.V. thank Tiia Lillemaa for the support with administrative tasks for the funding.