RSS feeds
РусскийEnglish
Issue 2, 2025
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1993

 / 

January

←  →

Reviews of topical problems


Propagation and transformation of electromagnetic waves in one-dimensional periodic structures

,

Different analytic methods (perturbation theory in the Born approximation and under Bragg reflection, as well as coupled-wave theory and its modifications) are used to derive and discuss approximate analytic expressions for electromagnetic wave fields in bounded one-dimensional periodic dielectric structures and the corresponding reflection coefficients. The range of validity of each of the analytic solutions is established and it is shown that the modified coupled-wave method, which is valid simultaneously for large and small modulation periods and appreciable modulation depths, has the widest range of validity. The method is used to calculate the reflection coefficients of such structures as functions of the incident-wave frequency, taking into account the finite size of the structures, the properties of the ambient media, absorption, and small nonlinearity and aperiodicity.

Fulltext pdf (1.2 MB)
Fulltext is also available at DOI: 10.1070/PU1993v036n01ABEH002061
PACS: 41.20.Jb
DOI: 10.1070/PU1993v036n01ABEH002061
URL: https://ufn.ru/en/articles/1993/1/a/
Citation: Karpov S Yu, Stolyarov S N "Propagation and transformation of electromagnetic waves in one-dimensional periodic structures" Phys. Usp. 36 (1) 1–22 (1993)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Карпов С Ю, Столяров С Н «Распространение и преобразование волн в средах с одномерной периодичностью» УФН 163 (1) 63–89 (1993); DOI: 10.3367/UFNr.0163.199301b.0063

References (61) Cited by (58) ↓ Similar articles (20)

  1. ANDRÉ Jean‐Michel, JONNARD Philippe X‐ray Radiation and Artificial Bragg Structures 1 (2025) p. 121
  2. Reshetnyak V Yu, Pinkevych I P et al Crystals 15 138 (2025)
  3. Gevorkyan E 2024 IEEE Ural-Siberian Conference on Biomedical Engineering, Radioelectronics and Information Technology (USBEREIT), (2024) p. 5
  4. Reshetnyak V Yu, Pinkevych I P et al Liquid Crystals 50 45 (2023)
  5. Reshetnyak V Yu, Pinkevych I P et al Liquid Crystals 50 36 (2023)
  6. Gevorkyan E 2023 Radiation and Scattering of Electromagnetic Waves (RSEMW), (2023) p. 60
  7. Girka I, Thumm M Springer Series On Atomic, Optical, And Plasma Physics Vol. Surface Flute Waves in PlasmasExcitation of Surface Flute Waves with Frequencies Other Than Electron Cyclotron Frequency by Flow of Charged Particles Gyrating Along Large Larmor Orbits in Axial External Static Magnetic Field120 Chapter 10 (2022) p. 335
  8. Girka I, Thumm M Springer Series On Atomic, Optical, And Plasma Physics Vol. Surface Flute Waves in PlasmasExcitation of Surface Flute Waves in Electron Cyclotron Frequency Range by Relativistic Electron Beam Gyrating Along Large Larmor Orbits120 Chapter 7 (2022) p. 199
  9. Zhu J, Bian Ch et al Phys. Rev. A 106 (1) (2022)
  10. Girka I, Thumm M Springer Series On Atomic, Optical, And Plasma Physics Vol. Surface Flute Waves in PlasmasSurface Flute Waves in Waveguides with Non-circular Cross-Section120 Chapter 6 (2022) p. 169
  11. Reshetnyak V, Pinkevych I et al Materials 14 1282 (2021)
  12. Afanas’ev S A, Zolotovskii I O et al Quantum Electron. 51 609 (2021)
  13. Gevorkyan E A Opt. Spectrosc. 129 922 (2021)
  14. Grigoriev G I, Lapin V G, Kalinina E E Atmosphere 11 1169 (2020)
  15. Zhu J, Bian Ch-L, Wang H-Ch Chinese Phys. B 28 093701 (2019)
  16. Gevorkyan E A 2019 Radiation and Scattering of Electromagnetic Waves (RSEMW), (2019) p. 1
  17. Belyayev Yu N J. Phys.: Conf. Ser. 1092 012008 (2018)
  18. Arkhipkin V G, Myslivets S A J. Opt. 19 055501 (2017)
  19. Arkhipkin V G, Myslivets S A Phys. Rev. A 93 (1) (2016)
  20. Nasedkina Yu F, Eliseeva S V, Sementsov D I Photonics And Nanostructures - Fundamentals And Applications 19 31 (2016)
  21. (22nd International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics) Vol. 22nd International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics Dispersion of surface plasmon-polaritons in weakly periodic structures Gennadii G.MatvienkoOleg A.RomanovskiiNikolay S.PanamarevValeriy A.DonchenkoAleksey A.ZemlyanovIgnatiy V.SamokhvalovAnna N.PanamaryovaAnastasiya O.Shatokhina10035 (2016) p. 1003527
  22. Nasedkina Yu F, Eliseeva S V, Sementsov D I Opt. Spectrosc. 119 128 (2015)
  23. Girka V, Girka I, Thumm M Springer Series On Atomic, Optical, And Plasma Physics Vol. Surface Flute Waves in PlasmasSurface Flute Waves Propagating in Waveguides with Non-Circular Cross-Section79 Chapter 5 (2014) p. 99
  24. Asymptotic Methods in the Theory of Plates with Mixed Boundary Conditions 1 (2014) p. 1
  25. Dong G, Zhu J et al Phys. Rev. Lett. 110 (25) (2013)
  26. Girka V O, Girka I O, Pavlenko I V Plasma Phys. Rep. 39 399 (2013)
  27. Andrianov I V, Danishevs’kyy V V, Kalamkarov A L Nonlinear Dyn 72 37 (2013)
  28. Eliseeva S V, Ostatochnikov V A, Sementsov D I Russ Phys J 55 807 (2012)
  29. Girka V O, Girka I O, Pavlenko I V Plasma Phys. Rep. 38 126 (2012)
  30. Girka I O, Girka V O, Pavlenko I V PIER M 26 39 (2012)
  31. Zhu J, Dong G et al Phys. Rev. Lett. 106 (21) (2011)
  32. Eliseeva S V, Sementsov D I Opt. Spectrosc. 109 729 (2010)
  33. Rautian S G Opt. Spectrosc. 104 112 (2008)
  34. Sementsov D I, Sannikov D G Dokl. Phys. 53 (9) (2008)
  35. Sementsov D I, Sannikov D G Opt. Spectrosc. 102 599 (2007)
  36. Girka O I, Girka V O et al Plasma Phys. Rep. 33 543 (2007)
  37. Girka O I, Girka V O et al Plasma Phys. Rep. 33 91 (2007)
  38. Gevorkyan É A Tech. Phys. 51 666 (2006)
  39. Seminogov V N, Sokolov V I, Panchenko V Ya J. Commun. Technol. Electron. 51 78 (2006)
  40. Ignatchenko V A, Laletin O N Phys. Solid State 46 2292 (2004)
  41. Morozov G V, Sprung D W L, Martorell J Phys. Rev. E 69 (1) (2004)
  42. Morozov G V, Sprung D W L, Martorell J Phys. Rev. E 70 (1) (2004)
  43. Trott M The Mathematica GuideBook for Programming Chapter 1 (2004) p. 1
  44. Dodonov A V, Dodonov E V, Dodonov V V Physics Letters A 317 378 (2003)
  45. Bulgakov A A, Kononenko V K Tech. Phys. 48 1372 (2003)
  46. Morozov G V, Maev R G, Drake G W F Acoustical Imaging Vol. Acoustical ImagingElastic Stress Influence on the Propagation of Electromagnetic Waves Through Two-Layered Periodic Dielectric Structures24 Chapter 35 (2002) p. 245
  47. Sergan T, Lavrentovich M et al J. Opt. Soc. Am. A 19 1872 (2002)
  48. Morozov G V, Maev R G, Drake G W F Phys. Rev. E 63 (5) (2001)
  49. Girka I A, Kovtun P K Plasma Phys. Rep. 26 33 (2000)
  50. Morozov G V, Maev R G, Drake G W F Phys. Rev. E 60 4860 (1999)
  51. Morozov G V, Maev R G, Drake G W F Quantum Electron. 28 977 (1998)
  52. Gorshkov A S, Ermakova O N, Marchenko V F Nonlinearity 10 1007 (1997)
  53. Popkov A F, Ostrovskaya N V, Savchenko L L Nonlinear Microwave Signal Processing: Towards a New Range of Devices Chapter 12 (1996) p. 305
  54. Kirsanov B P, Krongauz M V J. Opt. Soc. Am. A 13 2423 (1996)
  55. Maksimenko S A Journal Of Modern Optics 41 1875 (1994)
  56. Maksimenko S A Opt. Lett. 19 1783 (1994)
  57. Rozman M G, Reineker P, Tehver R Physics Letters A 187 127 (1994)
  58. Bass F G, Slepyan G Ya et al Phys. Rev. B 50 3631 (1994)
© 1918–2025 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions