On the phase retrieval problem in optics

Studies on the retrieval of a complex function from data on its modulus and the modulus of its Fourier spectrum are briefly reviewed. An analog optical method of solving this same problem is described. Pictorial explanations are presented concerning the ambiguity of the retrieval of a spectrally bounded one-dimensional function from a single modulus. Some methods of retrieval of time characteristics of radiation are analyzed from the standpoint of the phase retrieval problem that rests on spectral measurements or on measurements of the autocorrelation function.

PACS: 42.30.Rx, 42.30.Kq (all)
DOI: 10.1070/PU1988v031n04ABEH005755
URL: https://ufn.ru/en/articles/1988/4/e/
Citation: Kuznetsova T I "On the phase retrieval problem in optics" Sov. Phys. Usp. 31 364–371 (1988)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Кузнецова Т И «О фазовой проблеме в оптике» УФН 154 677–690 (1988); DOI: 10.3367/UFNr.0154.198804e.0677

References (49) Cited by (58) Similar articles (20) ↓

V.P. Bykov, V.I. Tatarskii “Perturbation theory for resolvents as applied to problems in radiation theory” Sov. Phys. Usp. 34 (2) 167–184 (1991)
S.G. Karshenboim “New recommended values of the fundamental physical constants (CODATA 2006)” Phys. Usp. 51 1019–1026 (2008)
V.I. Bodnarchuk, L.S. Davtyan, D.A. Korneev “Geometrical phase effects in neutron optics” Phys. Usp. 39 169–177 (1996)
V.S. Olkhovsky “On time as a quantum observable canonically conjugate to energy” Phys. Usp. 54 829–835 (2011)
I.I. Abbasov, B.M. Bolotovskii, V.A. Davydov “High-frequency asymptotic behavior of radiation spectra of moving charges in classical electrodynamics” Sov. Phys. Usp. 29 788–796 (1986)
A.V. Belinskii “Regular and quasiregular spectra of disordered layer structures” Phys. Usp. 38 653–664 (1995)
V.G. Niz’ev “Dipole-wave theory of electromagnetic diffraction” Phys. Usp. 45 553–559 (2002)
A.M. Gaifullin, V.V. Zhvick “Laminar submerged jets of incompressible fluid at large Reynolds numbers” Phys. Usp. 66 1142–1153 (2023)
B.M. Bolotovskii, S.N. Stolyarov “Law of conservation of energy for the electromagnetic field as applied to radiation by moving charged particles” Sov. Phys. Usp. 35 (3) 248–254 (1992)
G.V. Ovechkin “Continuous spectrum of a condensed discharge in a capillary” Sov. Phys. Usp. 35 (6) 520–530 (1992)
Kraĭnov V L, L.P. Presnyakov “Phase functions for potential scattering in optics” Phys. Usp. 36 (7) 621–627 (1993)
V.N. Tutubalin “Probability, computers, and the processing of experimental data” Phys. Usp. 36 (7) 628–641 (1993)
B.M. Bolotovskii, V.A. Davydov, V.E. Rok “The emission of electromagnetic waves in the case of a smooth variation of parameters of a radiating system” Sov. Phys. Usp. 25 167–175 (1982)
V.P. Kazantsev “An example illustrating the potentiality and peculiarities of a variational approach to electrostatic problems” Phys. Usp. 45 325–330 (2002)
E.A. Nelin “Impedance model for quantum-mechanical barrier problems” Phys. Usp. 50 293–299 (2007)
G.S. Golitsyn “Demonstrativeness of using energy rather than mass as the unit of measure for a number of problems in physics, mechanics, and geophysics” Phys. Usp. 51 723–725 (2008)
A.M. Zheltikov “Colors of thin films, antiresonance phenomena in optical systems, and the limiting loss of modes in hollow optical waveguides” Phys. Usp. 51 591–600 (2008)
A.G. Shalashov, E.D. Gospodchikov “Impedance technique for modeling of electromagnetic wave propagation in anisotropic and gyrotropic media” Phys. Usp. 54 145–165 (2011)
G.N. Bochkov, Yu.E. Kuzovlev “Fluctuation-dissipation relations: achievements and misunderstandings” Phys. Usp. 56 590–602 (2013)
V.I. Alshits, V.N. Lyubimov “Acoustics and optics of absorptive crystals: a universal formalism for topological effects” Phys. Usp. 56 1021–1037 (2013)

The list is formed automatically.