RSS feeds
РусскийEnglish
Issue 11, 2024
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

Оригинал: Кюркчан А Г, Стернин Б Ю, Шаталов В Е «Особенности продолжения волновых полей» УФН 166 1285–1308 (1996); DOI: 10.3367/UFNr.0166.199612b.1285

References (63) Cited by (59) ↓ Similar articles (20)

  1. Lamprianidis A G, Rockstuhl C, Fernandez-Corbaton I Journal Of Quantitative Spectroscopy And Radiative Transfer 296 108455 (2023)
  2. Trefethen L N Japan J. Indust. Appl. Math. 40 1587 (2023)
  3. Assier R C, Shanin A V Proc. R. Soc. A. 477 (2245) (2021)
  4. Kyurkchan A G, Manenkov S A Acoust. Phys. 65 348 (2019)
  5. Majic M Journal Of Quantitative Spectroscopy And Radiative Transfer 235 287 (2019)
  6. Barnett A H, Marple G R et al Comm Pure Appl Math 71 2334 (2018)
  7. Kyurkchan A G, Manenkov S A Comput. Math. And Math. Phys. 57 1682 (2017)
  8. Kyurkchan A G Uspekhi Fizicheskikh Nauk 187 1097 (2017) [Kyurkchan A G Phys.-Usp. 60 1018 (2017)]
  9. Kyurkchan A G, Smirnova N I Mathematical Modeling in Diffraction Theory (2016) p. 51
  10. Kyurkchan A G, Smirnova N I Mathematical Modeling in Diffraction Theory (2016) p. 1
  11. Mathematical Modeling in Diffraction Theory (2016) p. 257
  12. Liu Yu, Barnett A H Journal Of Computational Physics 324 226 (2016)
  13. Kyurkchan A G, Smirnova N I Mathematical Modeling in Diffraction Theory (2016) p. 199
  14. Kyurkchan A G, Smirnova N I Mathematical Modeling in Diffraction Theory (2016) p. vii
  15. Farafonov V, Il׳in V et al Journal Of Quantitative Spectroscopy And Radiative Transfer 178 176 (2016)
  16. Kyurkchan A G, Smirnova N I Mathematical Modeling in Diffraction Theory (2016) p. 123
  17. Kyurkchan A G, Smirnova N I Mathematical Modeling in Diffraction Theory (2016) p. 71
  18. Tsitsas N L, Palaiopanos G, Fikioris G 2016 URSI International Symposium on Electromagnetic Theory (EMTS), (2016) p. 243
  19. Kyurkchan A G, Smirnova N I J. Commun. Technol. Electron. 59 22 (2014)
  20. Manenkov S A Acoust. Phys. 60 127 (2014)
  21. Kyurkchan A G, Smirnova N I Journal Of Quantitative Spectroscopy And Radiative Transfer 146 304 (2014)
  22. Kyurkchan A G, Manenkov S A Journal Of Quantitative Spectroscopy And Radiative Transfer 146 295 (2014)
  23. Kyurkchan A G, Manenkov S A Journal Of Quantitative Spectroscopy And Radiative Transfer 113 2368 (2012)
  24. Kyurkchan A G, Smirnova N I 2010 International Conference on Mathematical Methods in Electromagnetic Theory, (2010) p. 1
  25. Pablo F Ju, Shubitidze F et al EURASIP J. Adv. Signal Process. 2010 (1) (2010)
  26. Kyurkchan A G 2010 International Conference on Mathematical Methods in Electromagnetic Theory, (2010) p. 1
  27. Eremin Yu A Diff Equat 45 1379 (2009)
  28. Kyurkchan A G, Smirnova N I Acoust. Phys. 55 691 (2009)
  29. Kyurkchan A G J. Commun. Technol. Electron. 54 364 (2009)
  30. Kyurkchan A G, Skorodumova E A Journal Of Quantitative Spectroscopy And Radiative Transfer 110 1335 (2009)
  31. Kyurkchan A G, Smirnov V I, Smirnova N I 2008 12th International Conference on Mathematical Methods in Electromagnetic Theory, (2008) p. 337
  32. Kyurkchan A G, Skorodumova E A 2008 12th International Conference on Mathematical Methods in Electromagnetic Theory, (2008) p. 216
  33. Barnett A H, Betcke T Journal Of Computational Physics 227 7003 (2008)
  34. Serebrennikov A M IEEE Trans. Antennas Propagat. 56 3201 (2008)
  35. Kyurkchan A G, Manenkov S A, Negorozhina E S J. Commun. Technol. Electron. 53 256 (2008)
  36. Kyurkchan A G, Manenkov S A Journal Of Quantitative Spectroscopy And Radiative Transfer 109 1430 (2008)
  37. Kyurkchan A G, Smirnova N I J. Commun. Technol. Electron. 53 767 (2008)
  38. Manenkov S A J. Commun. Technol. Electron. 53 747 (2008)
  39. Kyurkchan A G, Smirnova N I Acoust. Phys. 53 426 (2007)
  40. Shubitidze F, Barrowes B et al Symposium on the Application of Geophysics to Engineering and Environmental Problems 2007, (2007) p. 1475
  41. Anyutin A P, Kyurkchan A G et al Journal Of Quantitative Spectroscopy And Radiative Transfer 100 26 (2006)
  42. Anyutin A P, Stasevich V I Journal Of Quantitative Spectroscopy And Radiative Transfer 100 16 (2006)
  43. Kyurkchan A G, Anyutin A P J. Commun. Technol. Electron. 51 48 (2006)
  44. Shubitidze F, Barrowes B et al 2006 International Conference on Mathematical Methods in Electromagnetic Theory, (2006) p. 126
  45. Vouldis A T, Avdikos G K, Anastassiu H T 2006 First European Conference on Antennas and Propagation, (2006) p. 1
  46. Serebrennikov A M IEEE Trans. Antennas Propagat. 54 2337 (2006)
  47. Kyurkchan A G, Demin D B Tech. Phys. 49 165 (2004)
  48. Kyurkchan A, Demin D Journal Of Quantitative Spectroscopy And Radiative Transfer 89 237 (2004)
  49. Kyurkchan A G, Minaev S A Journal Of Quantitative Spectroscopy And Radiative Transfer 89 219 (2004)
  50. Tkhang D D, Kyurkchan A G Acoust. Phys. 49 43 (2003)
  51. Anioutine A P, Kyurkchan A G, Minaev S A Journal Of Quantitative Spectroscopy And Radiative Transfer 79-80 509 (2003)
  52. Anytin A P, Stasevich V I 6th International SYmposium on Antennas, Propagation and EM Theory, 2003. Proceedings. 2003, (2003) p. 408
  53. Anyutin A P, Kyurkchan A G, Stasevich V I 6th International SYmposium on Antennas, Propagation and EM Theory, 2003. Proceedings. 2003, (2003) p. 452
  54. Kazantsev V P Uspekhi Fizicheskikh Nauk 172 357 (2002)
  55. Botten L, Nicorovici N et al Phys. Rev. E 64 (4) (2001)
  56. Kyurkchan A G, Stukov A I Dokl. Phys. 45 269 (2000)
  57. Acoustic and Electromagnetic Scattering Analysis Using Discrete Sources (2000) p. 301
  58. Kyurkchan A G, Sukov A I, Kleev A I Generalized Multipole Techniques for Electromagnetic and Light Scattering (1999) p. 81
  59. Wriedt T Generalized Multipole Techniques for Electromagnetic and Light Scattering (1999) p. 5
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions