Issues

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1996

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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.

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/
Citation: Kyurkchan A G, Sternin B Yu, Shatalov V E "Singularities of continuation of wave fields" Phys. Usp. 39 1221–1242 (1996)
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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 (57) ↓ Similar articles (20)

  1. Assier R C, Shanin A V Proc. R. Soc. A. 477 20200681 (2021)
  2. Kyurkchan A G, Manenkov S A Acoust. Phys. 65 348 (2019)
  3. Majic M Journal Of Quantitative Spectroscopy And Radiative Transfer 235 287 (2019)
  4. Barnett A H, Marple G R et al Comm. Pure Appl. Math. 71 2334 (2018)
  5. Kyurkchan A G Uspekhi Fizicheskikh Nauk 187 1097 (2017)
  6. Kyurkchan A G, Manenkov S A Comput. Math. And Math. Phys. 57 1682 (2017)
  7. Kyurkchan A G, Smirnova N I Mathematical Modeling in Diffraction Theory (2016) p. vii
  8. Kyurkchan A G, Smirnova N I Mathematical Modeling in Diffraction Theory (2016) p. 1
  9. Kyurkchan A G, Smirnova N I Mathematical Modeling in Diffraction Theory (2016) p. 123
  10. Farafonov V, Il׳in V et al Journal Of Quantitative Spectroscopy And Radiative Transfer 178 176 (2016)
  11. Tsitsas N L, Palaiopanos G, Fikioris G 2016 URSI International Symposium on Electromagnetic Theory (EMTS), (2016) p. 243
  12. Liu Yu, Barnett A H Journal Of Computational Physics 324 226 (2016)
  13. Mathematical Modeling in Diffraction Theory (2016) p. 257
  14. Kyurkchan A G, Smirnova N I Mathematical Modeling in Diffraction Theory (2016) p. 71
  15. Kyurkchan A G, Smirnova N I Mathematical Modeling in Diffraction Theory (2016) p. 199
  16. Kyurkchan A G, Smirnova N I Mathematical Modeling in Diffraction Theory (2016) p. 51
  17. Kyurkchan A G, Smirnova N I J. Commun. Technol. Electron. 59 22 (2014)
  18. Kyurkchan A G, Smirnova N I Journal Of Quantitative Spectroscopy And Radiative Transfer 146 304 (2014)
  19. Manenkov S A Acoust. Phys. 60 127 (2014)
  20. Kyurkchan A G, Manenkov S A Journal Of Quantitative Spectroscopy And Radiative Transfer 146 295 (2014)
  21. Kyurkchan A G, Manenkov S A Journal Of Quantitative Spectroscopy And Radiative Transfer 113 2368 (2012)
  22. Kyurkchan A G 2010 International Conference on Mathematical Methods in Electromagnetic Theory, (2010) p. 1
  23. Kyurkchan A G, Smirnova N I 2010 International Conference on Mathematical Methods in Electromagnetic Theory, (2010) p. 1
  24. Pablo F Ju, Shubitidze F et al EURASIP J. Adv. Signal Process. 2010 (1) (2010)
  25. Kyurkchan A G, Smirnova N I Acoust. Phys. 55 691 (2009)
  26. Eremin Yu A Diff Equat 45 1379 (2009)
  27. Kyurkchan A G, Skorodumova E A Journal Of Quantitative Spectroscopy And Radiative Transfer 110 1335 (2009)
  28. Kyurkchan A G J. Commun. Technol. Electron. 54 364 (2009)
  29. Kyurkchan A G, Smirnov V I, Smirnova N I 2008 12th International Conference on Mathematical Methods in Electromagnetic Theory, (2008) p. 337
  30. Kyurkchan A G, Manenkov S A, Negorozhina E S J. Commun. Technol. Electron. 53 256 (2008)
  31. Kyurkchan A G, Manenkov S A Journal Of Quantitative Spectroscopy And Radiative Transfer 109 1430 (2008)
  32. Kyurkchan A G, Smirnova N I J. Commun. Technol. Electron. 53 767 (2008)
  33. Manenkov S A J. Commun. Technol. Electron. 53 747 (2008)
  34. Kyurkchan A G, Skorodumova E A 2008 12th International Conference on Mathematical Methods in Electromagnetic Theory, (2008) p. 216
  35. Barnett A H, Betcke T Journal Of Computational Physics 227 7003 (2008)
  36. Serebrennikov A M IEEE Trans. Antennas Propagat. 56 3201 (2008)
  37. Shubitidze F, Barrowes B et al Symposium on the Application of Geophysics to Engineering and Environmental Problems 2007, (2007) p. 1475
  38. Kyurkchan A G, Smirnova N I Acoust. Phys. 53 426 (2007)
  39. Serebrennikov A M IEEE Trans. Antennas Propagat. 54 2337 (2006)
  40. Shubitidze F, Barrowes B et al 2006 International Conference on Mathematical Methods in Electromagnetic Theory, (2006) p. 126
  41. Kyurkchan A G, Anyutin A P J. Commun. Technol. Electron. 51 48 (2006)
  42. Vouldis A T, Avdikos G K, Anastassiu H T 2006 First European Conference on Antennas and Propagation, (2006) p. 1
  43. Anyutin A P, Kyurkchan A G et al Journal Of Quantitative Spectroscopy And Radiative Transfer 100 26 (2006)
  44. Anyutin A P, Stasevich V I Journal Of Quantitative Spectroscopy And Radiative Transfer 100 16 (2006)
  45. Kyurkchan A G, Minaev S A Journal Of Quantitative Spectroscopy And Radiative Transfer 89 219 (2004)
  46. Kyurkchan A G, Demin D B Tech. Phys. 49 165 (2004)
  47. Kyurkchan A, Demin D Journal Of Quantitative Spectroscopy And Radiative Transfer 89 237 (2004)
  48. Anioutine A P, Kyurkchan A G, Minaev S A Journal Of Quantitative Spectroscopy And Radiative Transfer 79-80 509 (2003)
  49. Tkhang D D, Kyurkchan A G Acoust. Phys. 49 43 (2003)
  50. Anytin A P, Stasevich V I 6th International SYmposium on Antennas, Propagation and EM Theory, 2003. Proceedings. 2003, (2003) p. 408
  51. Anyutin A P, Kyurkchan A G, Stasevich V I 6th International SYmposium on Antennas, Propagation and EM Theory, 2003. Proceedings. 2003, (2003) p. 452
  52. Kazantsev V P Uspekhi Fizicheskikh Nauk 172 357 (2002)
  53. Botten L, Nicorovici N et al Phys. Rev. E 64 (4) (2001)
  54. Kyurkchan A G, Stukov A I Dokl. Phys. 45 269 (2000)
  55. Acoustic and Electromagnetic Scattering Analysis Using Discrete Sources (2000) p. 301
  56. Kyurkchan A G, Sukov A I, Kleev A I Generalized Multipole Techniques for Electromagnetic and Light Scattering (1999) p. 81
  57. Wriedt T Generalized Multipole Techniques for Electromagnetic and Light Scattering (1999) p. 5

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