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Excitation of cyclical Sommerfeld waves and Wood’s anomalies in plane wave scattering from a dielectric cylinder at oblique incidence

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Prokhorov General Physics Institute of the Russian Academy of Sciences, Dianov Fiber Optics Research Center, ul. Vavilova 38, Moscow, 119991, Russian Federation

An analysis is presented of the scattering of a plane electromagnetic wave at oblique incidence from a circular dielectric cylinder. Under certain conditions this scattering process involves the excitation of cyclic surface Sommerfeld waves (SWs) capable of traveling large distances along the cylinder. It is shown that the interaction of SWs of low azimuthal order with the cylinder’s continuous (radiation) modes gives rise cyclic Sommerfeld resonances (SRs) analogous to the well-known Wood’s anomalies in the plane wave scattering from one-dimensional metallic diffraction gratings. Conditions necessary for the effective excitation of SWs and SRs are established and how SWs and SRs contribute to mode formation in microstructured optical fibers is discussed.

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Fulltext is also available at DOI: 10.3367/UFNe.0183.201308d.0863
PACS: 41.20.Jb, 42.25.Bs, 42.25.Fx (all)
DOI: 10.3367/UFNe.0183.201308d.0863
URL: https://ufn.ru/en/articles/2013/8/d/
000327017200004
2-s2.0-84888093528
2013PhyU...56..813P
Citation: Pryamikov A D, Biriukov A S "Excitation of cyclical Sommerfeld waves and Wood's anomalies in plane wave scattering from a dielectric cylinder at oblique incidence" Phys. Usp. 56 813–822 (2013)
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Received: 28th, November 2012, revised: 26th, February 2013, 27th, February 2013

Оригинал: Прямиков А Д, Бирюков А С «Возбуждение циклических волн Зоммерфельда и аномалии Вуда при скользящем падении плоской волны на диэлектрический цилиндр» УФН 183 863–873 (2013); DOI: 10.3367/UFNr.0183.201308d.0863

References (31) Cited by (8) Similar articles (20) ↓

  1. E.H. Lock “Angular beam width of a slit-diffracted wave with noncollinear group and phase velocitiesPhys. Usp. 55 1239–1254 (2012)
  2. A.V. Kukushkin, A.A. Rukhadze, K.Z. Rukhadze “On the existence conditions for a fast surface wavePhys. Usp. 55 1124–1133 (2012)
  3. M.V. Davidovich “On energy and momentum conservation laws for an electromagnetic field in a medium or at diffraction on a conducting platePhys. Usp. 53 595–609 (2010)
  4. A.G. Shalashov, E.D. Gospodchikov “Structure of the Maxwell equations in the region of linear coupling of electromagnetic waves in weakly inhomogeneous anisotropic and gyrotropic mediaPhys. Usp. 55 147–160 (2012)
  5. S.A. Afanas’ev, D.I. Sementsov “Energy fluxes during the interference of electromagnetic wavesPhys. Usp. 51 355–361 (2008)
  6. A.G. Shalashov, E.D. Gospodchikov “'Anomalous' dissipation of a paraxial wave beam propagating along an absorbing planePhys. Usp. 65 1303–1312 (2022)
  7. A.V. Shchagin “Fresnel coefficients for parametric X-ray (Cherenkov) radiationPhys. Usp. 58 819–827 (2015)
  8. V.G. Veselago “Energy, linear momentum, and mass transfer by an electromagnetic wave in a negative-refraction mediumPhys. Usp. 52 649–654 (2009)
  9. V.G. Niz’ev “Dipole-wave theory of electromagnetic diffractionPhys. Usp. 45 553–559 (2002)
  10. A.M. Zheltikov “Colors of thin films, antiresonance phenomena in optical systems, and the limiting loss of modes in hollow optical waveguidesPhys. Usp. 51 591–600 (2008)
  11. F.V. Ignaovich, V.K. Ignatovich “Optics of anisotropic mediaPhys. Usp. 55 709–720 (2012)
  12. V.P. Makarov, A.A. Rukhadze “Material equations and Maxwell equations for isotropic media; waves with negative group velocity and negative values of ε (ω) and μ (ω)Phys. Usp. 62 487–495 (2019)
  13. A.I. Frank “Interaction of a wave with an accelerating object and the equivalence principlePhys. Usp. 63 500–502 (2020)
  14. L.P. Strelkova “Interference of 3-cm radio waves in a plane-parallel dielectric layerSov. Phys. Usp. 16 935–936 (1974)
  15. K.S. Vul’fson, L.P. Kovrigin “Observation of Sommerfeld diffraction from a specularly reflecting half-planeSov. Phys. Usp. 11 132–132 (1968)
  16. E.H. Lock, S.V. Gerus “Electromagnetic waves in a tangentially magnetized bi-gyrotropic layer (with an example of analysis of spin wave characteristics in a ferrite plate)Phys. Usp. 67 (12) (2024)
  17. V.I. Alshits, V.N. Lyubimov “Acoustics and optics of absorptive crystals: a universal formalism for topological effectsPhys. Usp. 56 1021–1037 (2013)
  18. A.G. Shalashov, E.D. Gospodchikov “Impedance technique for modeling of electromagnetic wave propagation in anisotropic and gyrotropic mediaPhys. Usp. 54 145–165 (2011)
  19. A.V. Vashkovsky, E.H. Lock “On the relationship between magnetostatic wave energy and dispersion characteristics in ferrite structuresPhys. Usp. 54 281–290 (2011)
  20. V.V. Shevchenko “Forward and backward waves: three definitions and their interrelation and applicabilityPhys. Usp. 50 287–292 (2007)

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