"Anomalous" dissipation of a paraxial wave beam propagating along an absorbing plane
E.D. Gospodchikova aFederal Research Center Institute of Applied Physics of the Russian Academy of Sciences, ul. Ulyanova 46, Nizhny Novgorod, 603000, Russian Federation bLobachevsky State University of Nizhny Novgorod (National Research University), prosp. Gagarina 23, Nizhny Novgorod, 603950, Russian Federation
We study solutions of Leontovich—Fock parabolic equation which describe the structure of a paraxial quasi-optical wave beam in a medium with a strong spatial inhomogeneity of the absorption coefficient across the direction of beam propagation. Using as an example the simplest reference problem of a wave beam propagating along an infinitely narrow plane dissipative layer, it is shown that in this case the energy dissipation and the beam diffraction affect each other, therefore they must be determined simultaneously while the application of a perturbation approach can lead to qualitatively incorrect results.
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., accepted
Received: 5th, August 2021, revised: 8th, September 2021, accepted: 24th, September 2021