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Transformation of a plasma boundary curvature into electrical impulses moving along a plasma surface

Published online by Cambridge University Press:  08 February 2024

O.M. Gradov Open the ORCID record for O.M. Gradov [Opens in a new window]
O.M. Gradov*
Affiliation:
Kurnakov Institute of General and Inorganic Chemistry, Russian Academy of Sciences, Leninsky pr. 31, Moscow, 119991, Russia
*
†Email address for correspondence: lutt.plm@igic.ras.ru
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Abstract

The self-consistent propagation of electrical impulses and of the accompanying distortions of the electron surface in the framework of a cold plasma model with a sharp boundary has been described with help of a derived system of two equations. The method of ‘shallow water theory’ has been applied for the case of bounded plasma and deriving an equation with which to link the spatial and temporal structures and evolution of the boundary curvature and the surface charge. Under certain conditions, such perturbations can propagate along the boundary without changing their shape for a long distance. An approximate analytical solution has been found, and numerical calculations have been performed. Mutual connections between basic parameters of the considered perturbations (velocity components, electrostatic field, etc.) have been presented.

Keywords

surface chargeimpulsenonlinear signalelectrostatic potentialboundary curvatureplasmaplasma nonlinear phenomenaplasma wavesplasma dynamics
Type
Letter
Information
Journal of Plasma Physics , Volume 90 , Issue 1 , February 2024 , 905900111
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Copyright
Copyright © The Author(s), 2024. Published by Cambridge University Press

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References

Boardman, A.D. (Ed.) 1982 Electromagnetic Surface Modes. Wiley.Google Scholar
Brodin, G. & Stenflo, L. 2014 Large amplitude electron plasma oscillations. Phys. Lett. A 378, 1632–1635.CrossRefGoogle Scholar
Chandler-Wilde, S.N. & Zhang, B. 1998 Electromagnetic scattering by an inhomogeneous conducting or dielectric layer on a perfectly conducting plate. Proc. R. Soc. Lond. A 454, 519–542.CrossRefGoogle Scholar
Gradov, O.M. 2020 Nonlinear behavior of a surface charge on the curved plasma boundary with a moving cavity. Phys. Lett. A 384, 126566.CrossRefGoogle Scholar
Gradov, O.M. 2021 Self-consistent plasma boundary distortions during the interaction of a normally incident electromagnetic beam and a nonlinear surface charge. Chin. J. Phys. 72, 360–365.CrossRefGoogle Scholar
Gradov, O.M. 2022 Self-consistent deformation of a plasma cylinder boundary under influences of a nonlinear surface charge. Chin. J. Phys. 77, 707–711.CrossRefGoogle Scholar
Jeffreys, H. & Swirles, B. 1999 Methods of Mathematical Physics. Cambridge University Press.CrossRefGoogle Scholar
Karmakar, M., Maity, C., Chakrabarti, N. & Sengupta, S. 2018 Phase-mixing of large amplitude electron oscillations in a cold inhomogeneous plasma. Phys. Plasmas 25, 022102.CrossRefGoogle Scholar
Lee, M.-J., Jung, G. & Jung, Y.-D. 2018 Branching and resonant characteristics of surface plasma waves in a semi-bounded quantum plasma including spin-current effects. Phys. Plasmas 25, 052106.CrossRefGoogle Scholar
Ma, J.Z.G. & Hirose, A. 2009 Parallel propagation of ion solitons in magnetic flux tubes. Phys. Scr. 79, 045502.CrossRefGoogle Scholar
Pramanik, S. & Maity, C. 2018 Langmuir wave phase-mixing in warm electron-positron-dusty plasmas. Phys. Lett. A 382, 1020–1023.CrossRefGoogle Scholar
Shahmansouri, M., Aboltaman, R. & Misra, A.P. 2018 Surface plasmons in a semi-bounded massless Dirac plasma. Phys. Lett. A 382, 2133–2136.CrossRefGoogle Scholar
Shukla, P.K. 1999 Nonlinear plasma science. Phys. Scr. T82, 4.CrossRefGoogle Scholar
Stenflo, L. 1996 Theory of nonlinear plasma surface waves. Phys. Scr. T63, 59–62.CrossRefGoogle Scholar
Stoker, J.J. 1957 Water Waves. The Mathematical Theory with Applications. Interscience Publication.Google Scholar
Tamir, T. & Oliner, A.A. 1963 The spectrum of electromagnetic waves guided by a plasma layer. Proc. IEEE 51 (2), 317–332.CrossRefGoogle Scholar
Verma, P.S. 2018 A novel numerical scheme for nonlinear electron plasma oscillations. Phys. Plasmas 25, 032107.CrossRefGoogle Scholar
Vladimirov, S.V., Yu, M.Y. & Tsytovich, V.N. 1994 Recent advances in the theory of nonlinear surface-waves. Phys. Rep. 241, 1–63.CrossRefGoogle Scholar
Ye, L., Zhang, Y., Zhang, X., Hu, T., Ji, R., Ding, B. & Jiang, B. 2013 Sol–gel preparation of SiO2/TiO2/SiO2–TiO2 broadband antireflective coating for solar cell cover glass. Sol. Energy Mater. Sol. Cells 111, 160–164.CrossRefGoogle Scholar
Yu, M.Y. & Zhelyazkov, I. 1978 Solitary surface waves. J. Plasma Phys. 20, 183–188.CrossRefGoogle Scholar