Methodological notes

'Anomalous' dissipation of a paraxial wave beam propagating along an absorbing plane

Federal Research Center Institute of Applied Physics of the Russian Academy of Sciences, ul. Ulyanova 46, Nizhny Novgorod, 603000, Russian Federation

We present solutions of the Leontovich—Fock parabolic equation which describe the structure of a paraxial quasi-optical wave beam in a medium with strong spatial inhomogeneity of the absorption coefficient transverse to the direction of beam propagation. Using as an example the simplest reference problem of a beam propagating along an infinitely narrow plane absorbing layer, it is shown that, in this case, the energy dissipation and refraction of the beam affect each other, so that they should be considered simultaneously, while the application of the perturbation theory can lead to qualitatively incorrect results.

Fulltext pdf (657 KB)
To the readers pdf (115 KB)
Fulltext is also available at DOI: 10.3367/UFNe.2021.09.039068
Keywords: paraxial wave beam, resonant dissipation, diffraction, parabolic wave equation
PACS: 42.25.−p, 42.25.Bs, 42.25.Fx (all)
DOI: 10.3367/UFNe.2021.09.039068
Citation: Shalashov A G, Gospodchikov E D "'Anomalous' dissipation of a paraxial wave beam propagating along an absorbing plane" Phys. Usp. 65 1303–1312 (2022)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 5th, August 2021, revised: 8th, September 2021, 24th, September 2021

Оригинал: Шалашов А Г, Господчиков Е Д «"Аномальная" диссипация параксиального волнового пучка, распространяющегося вдоль поглощающей плоскости» УФН 192 1399–1408 (2022); DOI: 10.3367/UFNr.2021.09.039068

References (56) Similar articles (20) ↓

  1. 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 media55 147–160 (2012)
  2. A.G. Shalashov, E.D. Gospodchikov “Impedance technique for modeling of electromagnetic wave propagation in anisotropic and gyrotropic media54 145–165 (2011)
  3. A.D. Pryamikov, A.S. Biriukov “Excitation of cyclical Sommerfeld waves and Wood’s anomalies in plane wave scattering from a dielectric cylinder at oblique incidence56 813–822 (2013)
  4. N.V. Selina “Light diffraction in a plane-parallel layered structure with the parameters of a Pendry lens65 406–414 (2022)
  5. 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)
  6. V.G. Veselago “Energy, linear momentum, and mass transfer by an electromagnetic wave in a negative-refraction medium52 649–654 (2009)
  7. S.A. Afanas’ev, D.I. Sementsov “Energy fluxes during the interference of electromagnetic waves51 355–361 (2008)
  8. F.V. Ignaovich, V.K. Ignatovich “Optics of anisotropic media55 709–720 (2012)
  9. Ya.E. Amstislavskii “Experiments on Fresnel diffraction by a narrow transparent ring in an opaque screen7 51–53 (1964)
  10. A.P. Potylitsyn, D.Yu. Sergeeva et alDiffraction radiation from a charge as radiation from a superluminal source in a vacuum63 303–308 (2020)
  11. A.V. Shchagin “Fresnel coefficients for parametric X-ray (Cherenkov) radiation58 819–827 (2015)
  12. V.I. Alshits, V.N. Lyubimov “Acoustics and optics of absorptive crystals: a universal formalism for topological effects56 1021–1037 (2013)
  13. I.O. Zolotovskii, R.N. Minvaliev, D.I. Sementsov “Dynamics of frequency-modulated wave packets in optical guides with complex-valued material parameters56 1245–1256 (2013)
  14. A.G. Shalashov “Can we refer to Hamilton equations for an oscillator with friction?61 1082–1088 (2018)
  15. V.E. Ogluzdin “Photons traveling at the speed of light in a two-level atomic medium as a source of Cherenkov radiation cones47 829–832 (2004)
  16. B.M. Bolotovskii, S.N. Stolyarov “Reflection of light from a moving mirror and related problems32 813–827 (1989)
  17. A.G. Kyurkchan “About recognition of mirror-like objects60 1018–1024 (2017)
  18. V.S. Olkhovsky “On the multiple internal reflections of particles and phonons tunneling in one, two, or three dimensions57 1136–1145 (2014)
  19. E.H. Lock “Angular beam width of a slit-diffracted wave with noncollinear group and phase velocities55 1239–1254 (2012)
  20. D.V. Karlovets “On dual representation in classical electrodynamics53 817–824 (2010)

The list is formed automatically.

© 1918–2023 Uspekhi Fizicheskikh Nauk
Email: Editorial office contacts About the journal Terms and conditions