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Methodological notes


The properties of isofrequency dependences and the laws of geometrical optics


Institute of Radio Engineering and Electronics, Russian Academy of Sciences, pl. Vvedenskogo 1, Fryazino, Moscow Region, 141120, Russian Federation

The laws of geometrical optics for two-dimensional geometries of anisotropic materials and structures are presented through the analysis of the geometrical and mathematical properties of various isofrequency dependences which are also called sections of the wavevector surface. Relations are analyzed between certain peculiarities of these dependences, such as the presence of asymptotes, points of inflection, central or axial symmetry, single- or multiple valuedness, and the existence of certain phenomena, such as nonreciprocal propagation, unidirectional propagation, the emergence of two (or several) reflected or refracted beams, the absence of reflection, and the irreversibility of reflection or refraction. It is shown that simple rules based on seeking the extrema of the isofrequency dependences enable one to find out, for each given geometry, which angles of incidence correspond to positive reflection or refraction of the wave, and which to negative ones.

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Fulltext is also available at DOI: 10.1070/PU2008v051n04ABEH006460
PACS: 42.15.−i, 42.25.Gy, 78.20.Ci (all)
DOI: 10.1070/PU2008v051n04ABEH006460
URL: https://ufn.ru/en/articles/2008/4/d/
000258187900004
2-s2.0-49249084761
2008PhyU...51..375L
Citation: Lock E H "The properties of isofrequency dependences and the laws of geometrical optics" Phys. Usp. 51 375–393 (2008)
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Оригинал: Локк Э Г «Свойства изочастотных зависимостей и законы геометрической оптики» УФН 178 397–417 (2008); DOI: 10.3367/UFNr.0178.200804d.0397

References (51) Cited by (55) ↓ Similar articles (20)

  1. Lock E H, Gerus S V Bull. Russ. Acad. Sci. Phys. 87 1528 (2023)
  2. Lock E H, Gerus S V Izvestiâ Akademii Nauk SSSR. Seriâ Fizičeskaâ 87 1494 (2023)
  3. Lokk E H, Gerus S V et al Bull. Russ. Acad. Sci. Phys. 86 1023 (2022)
  4. Gerus S V, Annenkov A Yu, Lock E H Journal Of Magnetism And Magnetic Materials 563 169747 (2022)
  5. Martyshkin A A, Davies C S, Sadovnikov A V Phys. Rev. Applied 18 (6) (2022)
  6. Lock E H, Gerus S V, Annenkov A Yu J. Commun. Technol. Electron. 67 649 (2022)
  7. Gruszecki P, Guslienko K Y et al Phys. Rev. Applied 17 (4) (2022)
  8. Pirro P, Vasyuchka V I et al Nat Rev Mater 6 1114 (2021)
  9. Lock E H, Lugovskoi A V, Gerus S V J. Commun. Technol. Electron. 66 834 (2021)
  10. Gerus S V, Lock E H, Annenkov A Yu J. Commun. Technol. Electron. 66 1378 (2021)
  11. Vogel M, Pirro P et al 116 (26) (2020)
  12. Lock E H J. Commun. Technol. Electron. 65 265 (2020)
  13. Lock E H Bull. Russ. Acad. Sci. Phys. 84 134 (2020)
  14. Vysotskii S L, Sadovnikov A V et al 117 (10) (2020)
  15. Ruan Y, Liang X et al 114 (8) (2019)
  16. Castiñeira-Ibáñez S, Tarrazó-Serrano D et al Results In Physics 15 102582 (2019)
  17. Palaz S, Ozer Z et al Ferroelectrics 539 84 (2019)
  18. Lokk E G, Gerus S V, Annenkov A Yu J. Commun. Technol. Electron. 63 1197 (2018)
  19. Gruszecki P, Krawczyk M Phys. Rev. B 97 (9) (2018)
  20. Lokk E G J. Commun. Technol. Electron. 63 915 (2018)
  21. Annenkov A Yu, Gerus S V, Lock E H EPL 123 44003 (2018)
  22. Vogel M, Aßmann R et al Sci Rep 8 (1) (2018)
  23. Annenkov A Yu, Gerus S V, Lock E H Bull. Russ. Acad. Sci. Phys. 82 935 (2018)
  24. Lock E H Bull. Russ. Acad. Sci. Phys. 82 932 (2018)
  25. Stigloher J, Taniguchi T et al Appl. Phys. Express 11 053002 (2018)
  26. Krivoruchko V N, Savchenko A S, Kruglyak V V Phys. Rev. B 98 (2) (2018)
  27. Stigloher J, Taniguchi T et al Phys. Rev. Lett. 121 (13) (2018)
  28. Krivoruchko V N, Savchenko A S Acta Phys. Pol. A 133 463 (2018)
  29. Voloshinov V, Polikarpova N et al Appl. Opt. 57 C19 (2018)
  30. Gieniusz R, Gruszecki P et al Sci Rep 7 (1) (2017)
  31. Tuz V R, Fedorin I V, Fesenko V I Opt. Lett. 42 4561 (2017)
  32. Krivoruchko V N, Savchenko A S 2017 IEEE 7th International Conference Nanomaterials: Application & Properties (NAP), (2017) p. 02MFPM06-1
  33. Lokk E G J. Commun. Technol. Electron. 62 251 (2017)
  34. Palaz S, Oltulu O et al Ferroelectrics 511 12 (2017)
  35. Moccia M, Castaldi G et al Optica 3 179 (2016)
  36. Yu W, Lan J et al Phys. Rev. B 94 (14) (2016)
  37. Oltulu O, Simsek S et al Cogent Physics 3 (1) (2016)
  38. Lokk, Lokk E Electromagnetic field and materials (fundamental physical research) »with international participation, (2016) p. 149
  39. Karenowska A D, Chumak A V et al Handbook of Spintronics Chapter 53 (2016) p. 1505
  40. Davies C S, Sadovnikov A V et al 107 (16) (2015)
  41. Sımsek S, Koc H et al IOP Conf. Ser.: Mater. Sci. Eng. 77 012020 (2015)
  42. Davies C S, Kruglyak V V 41 760 (2015)
  43. Davies C S, Francis A et al Phys. Rev. B 92 (2) (2015)
  44. Karenowska A D, Chumak A V et al Handbook of Spintronics Chapter 53-1 (2015) p. 1
  45. Lokk E G J. Commun. Technol. Electron. 59 767 (2014)
  46. Fisanov V V Russ Phys J 57 691 (2014)
  47. Orlov A A, Zhukovsky S V et al Photonics And Nanostructures - Fundamentals And Applications 12 213 (2014)
  48. Karaomerlioglu F, Mamedov A M, Ozbay E Journal Of Modern Optics 61 1754 (2014)
  49. Karaomerlioglu F, Mamedov A M, Ozbay E Appl. Phys. A 117 611 (2014)
  50. Gieniusz R, Bessonov V D et al 104 (8) (2014)
  51. Carusotto I, Rousseaux G Lecture Notes In Physics Vol. Analogue Gravity PhenomenologyThe C̆erenkov Effect Revisited: From Swimming Ducks to Zero Modes in Gravitational Analogues870 Chapter 6 (2013) p. 109
  52. Castaldi G, Galdi V et al Phys. Rev. Lett. 108 (6) (2012)
  53. Lock E H Uspekhi Fizicheskikh Nauk 182 1327 (2012)
  54. Burov V A, Voloshinov V B et al Uspekhi Fizicheskikh Nauk 181 1205 (2011)
  55. Makarov V P, Rukhadze A A, Samokhin A A Plasma Phys. Rep. 36 1129 (2010)
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