Issues

 / 

2008

 / 

April

  

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.

Fulltext pdf (361 KB)
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)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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 (54) Similar articles (20) ↓

  1. E.H. Lock “Angular beam width of a slit-diffracted wave with noncollinear group and phase velocities55 1239–1254 (2012)
  2. A.V. Vashkovskii, E.H. Lokk “Negative refractive index for a surface magnetostatic wave propagating through the boundary between a ferrite and ferrite-insulator-metal media47 601–605 (2004)
  3. A.V. Vashkovsky, E.H. Lock “On the relationship between magnetostatic wave energy and dispersion characteristics in ferrite structures54 281–290 (2011)
  4. K.Yu. Bliokh, Yu.P. Bliokh “What are the left-handed media and what is interesting about them?47 393–400 (2004)
  5. A.P. Vinogradov, A.V. Dorofeenko, S. Zouhdi “On the problem of the effective parameters of metamaterials51 485–492 (2008)
  6. V.G. Veselago “Formulating Fermat’s principle for light traveling in negative refraction materials45 1097–1099 (2002)
  7. V.V. Shevchenko “Localization of a stationary electromagnetic field by a planar boundary of a metamaterial54 1131–1142 (2011)
  8. V.V. Shevchenko “Forward and backward waves: three definitions and their interrelation and applicability50 287–292 (2007)
  9. L.S. Dolin “On the role of phantom sources in the theory of superlenses66 846–851 (2023)
  10. B.M. Bolotovskii, S.N. Stolyarov “Reflection of light from a moving mirror and related problems32 813–827 (1989)
  11. A.A. Kolokolov “Fresnel formulas and the principle of causality42 931 (1999)
  12. D.I. Sakharov “Experiments on refraction and reflection of polarized light4 521–522 (1961)
  13. O.A. Shustin, T.S. Velichkina et alSome demonstrations in wave optics performed with a Gas laser14 666–667 (1972)
  14. M.V. Davidovich “On energy and momentum conservation laws for an electromagnetic field in a medium or at diffraction on a conducting plate53 595–609 (2010)
  15. A.P. Vinogradov “On the form of constitutive equations in electrodynamics45 331–338 (2002)
  16. V.M. Agranovich “Effects of the internal field in the spectra of molecular crystals and the theory of excitons17 103–117 (1974)
  17. K.S. Vul’fson, L.P. Kovrigin “Observation of Sommerfeld diffraction from a specularly reflecting half-plane11 132–132 (1968)
  18. Ya.E. Amstislavskii “Demonstration of lower-order multiray interference fringes10 400–402 (1967)
  19. E.B. Aleksandrov, V.S. Zapasskii “A fairy tale of stopped light47 1033–1036 (2004)
  20. V.G. Veselago “Energy, linear momentum, and mass transfer by an electromagnetic wave in a negative-refraction medium52 649–654 (2009)

The list is formed automatically.

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions