Issues

 / 

1988

 / 

April

  

Methodological notes


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.

Fulltext pdf (298 KB)
Fulltext is also available at DOI: 10.1070/PU1988v031n04ABEH005755
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 (50) ↓ Similar articles (11)

  1. Artyukov I A, Busarov A S et al J Russ Laser Res 45 278 (2024)
  2. Oh Je, Hugonnet H, Park YongKeun Phys. Rev. Research 5 (2) (2023)
  3. Boykov I V, Pivkina A A Tech. Phys. 67 749 (2022)
  4. Kovalev M, Gritsenko I et al Sensors 22 1765 (2022)
  5. Li J, Cai J-F, Zhao H J Sci Comput 87 (2) (2021)
  6. Okorochkov A I, Marchuk V I et al J. Phys.: Conf. Ser. 2094 022069 (2021)
  7. Boikov I V, Zelina Ya V, Vasyunin D I J. Phys.: Conf. Ser. 2099 012002 (2021)
  8. Boikov I, Zelina Ya, Vasyunin D 2020 Moscow Workshop on Electronic and Networking Technologies (MWENT), (2020) p. 1
  9. Li J, Zhao H Inverse Problems 36 055003 (2020)
  10. Popov N L, Artyukov I A et al Phys.-Usp. 63 766 (2020)
  11. Ukleev V Computer Optics 43 (6) (2019)
  12. Li J, Zhou T, Wang Ch Journal Of Computational And Applied Mathematics 329 202 (2018)
  13. Boykov I V, Zelina Ya V Voprosy Radioèlektroniki (12) 64 (2018)
  14. Li J, Zhou T 11 721 (2017)
  15. Li J, Zhou T Inverse Problems 33 025012 (2017)
  16. Yagnyatinskiy D A, Lyakhov D M et al Atmos Ocean Opt 30 198 (2017)
  17. Stukachev S E, Kozhevatov I E Radiophys Quantum El 58 283 (2015)
  18. Polo A, Haber A et al J. Eur. Opt. Soc.-Rapid Publ. 8 13070 (2013)
  19. Nikolenko V, Peterka D S et al Cold Spring Harb Protoc 2013 pdb.top079517 (2013)
  20. Stukachev S E, Kozhevatov I E Opt. Spectrosc. 111 477 (2011)
  21. Phase Optimization Problems 1 (2010) p. 301
  22. Braginets E B Semicond. Phys. Quantum Electron. Optoelectron. 11 70 (2008)
  23. Potapov A A J. Commun. Technol. Electron. 52 245 (2007)
  24. Braginets E Semicond. Phys. Quantum Electron. Optoelectron. 9 85 (2006)
  25. Zubov V A Opt. Spectrosc. 99 637 (2005)
  26. Zubov V A, Merkin A A, Mironova T V Opt. Spectrosc. 97 608 (2004)
  27. Gun’ko O V Ukr Math J 56 840 (2004)
  28. Electromagnetic Fields – Restrictions and Approximation 1 (2003) p. 195
  29. Zubov V A, Merkin A A, Mironova T V Opt. Spectrosc. 95 287 (2003)
  30. Prokhorov A V, Ushakov N G Theory Probab. Appl. 46 420 (2002)
  31. Zelepukina E V, Zubov V A et al Opt. Spectrosc. 93 752 (2002)
  32. Zubov V A, Merkin A A Opt. Spectrosc. 93 77 (2002)
  33. Zubov V A Quantum Electron. 32 479 (2002)
  34. Zelepukina E V, Zubov V A et al Opt. Spectrosc. 91 613 (2001)
  35. Zubov V A, Merkin A A Opt. Spectrosc. 90 101 (2001)
  36. Merkin A A, Mironova T V et al J Russ Laser Res 21 494 (2000)
  37. Zubov V A, Merkin A A J Russ Laser Res 21 168 (2000)
  38. Merkin A A, Mironova T V, Zubov V A J Russ Laser Res 21 228 (2000)
  39. Merkin A A, Zubov V A J Russ Laser Res 20 317 (1999)
  40. Wild† Walter Adaptive Optics Engineering Handbook (1999)
  41. Wild W J Signal Recovery and Synthesis, (1998) p. STuC.2
  42. Wild W J Opt. Lett. 23 573 (1998)
  43. Alodzhants A P, Arakelyan S M J. Exp. Theor. Phys. 86 672 (1998)
  44. Mironova T V, Zubov V A J Russ Laser Res 18 529 (1997)
  45. Zubov V A, Shatokhina N A Quantum Electron. 27 280 (1997)
  46. Zubov V A J Russ Laser Res 15 144 (1994)
  47. Dooghin A V, Kundikova N D, Zel’dovich B Ya Optics Communications 91 193 (1992)
  48. Aksenov V P Journal Of Modern Optics 39 1017 (1992)
  49. Piskorzh V V Radiophys Quantum Electron 35 174 (1992)
  50. Afanasev A M, Fanchenko S S, Maslov A V Phys. Stat. Sol. (a) 117 341 (1990)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions