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.

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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)
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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

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