RSS feeds
ÐóññêèéEnglish
Issue 12, 2025
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1996

 / 

December

←  →

Reviews of topical problems


Singularities of continuation of wave fields

 a,  b,  b
a Moscow Technical University of Communications and Informatics, ul. Aviamotornaya 8a, Moscow, 111024, Russian Federation
b Lomonosov Moscow State University, Vorobevy Gory, Moscow, 119991, Russian Federation

The state of the art of the problem of the analytical continuation of wave fields is reviewed. The problem is a multidisciplinary subject which involves radiophysics, acoustics, and optics on the one hand, and mathematical physics and the theory of differential equation, on the other. The qualitative aspects of the problem are examined. A computational algorithm for field singularities is given. The relation between the singularities and the ’computational catastrophes’ of scattering models is discussed. To illustrate the theoretical material, numerous examples are discussed in great detail.

Fulltext pdf (700 KB)
Fulltext is also available at DOI: 10.1070/PU1996v039n12ABEH000184
PACS: 02.30.−f, 02.90.+p, 41.20.−q, 41.20.Jb (all)
DOI: 10.1070/PU1996v039n12ABEH000184
URL: https://ufn.ru/en/articles/1996/12/b/
A1996WE26100002
Citation: Kyurkchan A G, Sternin B Yu, Shatalov V E "Singularities of continuation of wave fields" Phys. Usp. 39 1221–1242 (1996)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Îðèãèíàë: Êþðê÷àí À Ã, Ñòåðíèí Á Þ, Øàòàëîâ Â Å «Îñîáåííîñòè ïðîäîëæåíèÿ âîëíîâûõ ïîëåé» ÓÔÍ 166 1285–1308 (1996); DOI: 10.3367/UFNr.0166.199612b.1285

References (63) Cited by (61) ↓ Similar articles (20)

  1. Darsavelidze I, Kakulia D 2025 IEEE 30th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), (2025) p. 150
  2. Lamprianidis A G, Rockstuhl C, Fernandez-Corbaton I Journal Of Quantitative Spectroscopy And Radiative Transfer 296 108455 (2023)
  3. Trefethen L N Japan J. Indust. Appl. Math. 40 (3) 1587 (2023)
  4. Batrakov D O Visnyk of V.N. Karazin Kharkiv National University, series “Radio Physics and Electronics” (36) 21 (2022)
  5. Assier R C, Shanin A V Proc. R. Soc. A. 477 (2245) (2021)
  6. Kyurkchan A G, Manenkov S A Acoust. Phys. 65 (4) 348 (2019)
  7. Majic M Journal Of Quantitative Spectroscopy And Radiative Transfer 235 287 (2019)
  8. Barnett A H, Marple G R et al Comm Pure Appl Math 71 (11) 2334 (2018)
  9. Kyurkchan A G, Manenkov S A Comput. Math. And Math. Phys. 57 (10) 1682 (2017)
  10. Kyurkchan A G Uspekhi Fizicheskikh Nauk 187 (10) 1097 (2017) [Kyurkchan A G Phys.-Usp. 60 (10) 1018 (2017)]
  11. Kyurkchan A G, Smirnova N I Mathematical Modeling in Diffraction Theory (2016) p. 199
  12. Kyurkchan A G, Smirnova N I Mathematical Modeling in Diffraction Theory (2016) p. 1
  13. Mathematical Modeling in Diffraction Theory (2016) p. 257
  14. Liu Yu, Barnett A H Journal Of Computational Physics 324 226 (2016)
  15. Kyurkchan A G, Smirnova N I Mathematical Modeling in Diffraction Theory (2016) p. vii
  16. Kyurkchan A G, Smirnova N I Mathematical Modeling in Diffraction Theory (2016) p. 51
  17. Tsitsas N L, Palaiopanos G, Fikioris G 2016 URSI International Symposium on Electromagnetic Theory (EMTS), (2016) p. 243
  18. Kyurkchan A G, Smirnova N I Mathematical Modeling in Diffraction Theory (2016) p. 123
  19. Kyurkchan A G, Smirnova N I Mathematical Modeling in Diffraction Theory (2016) p. 71
  20. Farafonov V, Il׳in V et al Journal Of Quantitative Spectroscopy And Radiative Transfer 178 176 (2016)
  21. Kyurkchan A G, Smirnova N I J. Commun. Technol. Electron. 59 (1) 22 (2014)
  22. Manenkov S A Acoust. Phys. 60 (2) 127 (2014)
  23. Kyurkchan A G, Manenkov S A Journal Of Quantitative Spectroscopy And Radiative Transfer 146 295 (2014)
  24. Kyurkchan A G, Smirnova N I Journal Of Quantitative Spectroscopy And Radiative Transfer 146 304 (2014)
  25. Kyurkchan A G, Manenkov S A Journal Of Quantitative Spectroscopy And Radiative Transfer 113 (18) 2368 (2012)
  26. Kyurkchan A G, Smirnova N I 2010 International Conference on Mathematical Methods in Electromagnetic Theory, (2010) p. 1
  27. Pablo F Ju, Shubitidze F et al EURASIP J. Adv. Signal Process. 2010 (1) (2010)
  28. Kyurkchan A G 2010 International Conference on Mathematical Methods in Electromagnetic Theory, (2010) p. 1
  29. Eremin Yu A Diff Equat 45 (9) 1379 (2009)
  30. Kyurkchan A G, Smirnova N I Acoust. Phys. 55 (6) 691 (2009)
  31. Kyurkchan A G J. Commun. Technol. Electron. 54 (3) 364 (2009)
  32. Kyurkchan A G, Skorodumova E A Journal Of Quantitative Spectroscopy And Radiative Transfer 110 (14-16) 1335 (2009)
  33. Manenkov S A J. Commun. Technol. Electron. 53 (7) 747 (2008)
  34. Kyurkchan A G, Smirnov V I, Smirnova N I 2008 12th International Conference on Mathematical Methods in Electromagnetic Theory, (2008) p. 337
  35. Serebrennikov A M IEEE Trans. Antennas Propagat. 56 (10) 3201 (2008)
  36. Barnett A H, Betcke T Journal Of Computational Physics 227 (14) 7003 (2008)
  37. Kyurkchan A G, Manenkov S A, Negorozhina E S J. Commun. Technol. Electron. 53 (3) 256 (2008)
  38. Kyurkchan A G, Skorodumova E A 2008 12th International Conference on Mathematical Methods in Electromagnetic Theory, (2008) p. 216
  39. Kyurkchan A G, Manenkov S A Journal Of Quantitative Spectroscopy And Radiative Transfer 109 (8) 1430 (2008)
  40. Kyurkchan A G, Smirnova N I J. Commun. Technol. Electron. 53 (7) 767 (2008)
  41. Shubitidze F, Barrowes B et al Symposium on the Application of Geophysics to Engineering and Environmental Problems 2007, (2007) p. 1475
  42. Kyurkchan A G, Smirnova N I Acoust. Phys. 53 (4) 426 (2007)
  43. Anyutin A P, Kyurkchan A G et al Journal Of Quantitative Spectroscopy And Radiative Transfer 100 (1-3) 26 (2006)
  44. Anyutin A P, Stasevich V I Journal Of Quantitative Spectroscopy And Radiative Transfer 100 (1-3) 16 (2006)
  45. Shubitidze F, Barrowes B et al 2006 International Conference on Mathematical Methods in Electromagnetic Theory, (2006) p. 126
  46. Kyurkchan A G, Anyutin A P J. Commun. Technol. Electron. 51 (1) 48 (2006)
  47. Vouldis A T, Avdikos G K, Anastassiu H T 2006 First European Conference on Antennas and Propagation, (2006) p. 1
  48. Serebrennikov A M IEEE Trans. Antennas Propagat. 54 (8) 2337 (2006)
  49. Kyurkchan A G, Demin D B Tech. Phys. 49 (2) 165 (2004)
  50. Kyurkchan A, Demin D Journal Of Quantitative Spectroscopy And Radiative Transfer 89 (1-4) 237 (2004)
  51. Kyurkchan A G, Minaev S A Journal Of Quantitative Spectroscopy And Radiative Transfer 89 (1-4) 219 (2004)
  52. Tkhang D D, Kyurkchan A G Acoust. Phys. 49 (1) 43 (2003)
  53. Anioutine A P, Kyurkchan A G, Minaev S A Journal Of Quantitative Spectroscopy And Radiative Transfer 79-80 509 (2003)
  54. Anytin A P, Stasevich V I 6th International SYmposium on Antennas, Propagation and EM Theory, 2003. Proceedings. 2003, (2003) p. 408
  55. Anyutin A P, Kyurkchan A G, Stasevich V I 6th International SYmposium on Antennas, Propagation and EM Theory, 2003. Proceedings. 2003, (2003) p. 452
  56. Kazantsev V P Uspekhi Fizicheskikh Nauk 172 (3) 357 (2002)
  57. Botten L, Nicorovici N et al Phys. Rev. E 64 (4) (2001)
  58. Kyurkchan A G, Stukov A I Dokl. Phys. 45 (6) 269 (2000)
  59. Acoustic and Electromagnetic Scattering Analysis Using Discrete Sources (2000) p. 301
  60. Kyurkchan A G, Sukov A I, Kleev A I Generalized Multipole Techniques for Electromagnetic and Light Scattering (1999) p. 81
  61. Wriedt T Generalized Multipole Techniques for Electromagnetic and Light Scattering (1999) p. 5
© 1918–2025 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions