Generation of Lower Harmonic Magnetosonic Waves Through Nonlinear Wave‐Wave Interactions

Abstract Although magnetosonic waves in the Earth's magnetosphere have been well understood by the linear theory, low harmonic magnetosonic waves, which often lack of free energy, can be unusually present. By employing a 1‐D particle‐in‐cell simulation model, we have investigated the generation...

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Main Authors: Xinliang Gao, Jicheng Sun, Quanming Lu, Lunjin Chen, Shui Wang
Format: Article
Language:English
Published: Wiley 2018-08-01
Series:Geophysical Research Letters
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Online Access:https://doi.org/10.1029/2018GL079090
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author Xinliang Gao
Jicheng Sun
Quanming Lu
Lunjin Chen
Shui Wang
author_facet Xinliang Gao
Jicheng Sun
Quanming Lu
Lunjin Chen
Shui Wang
author_sort Xinliang Gao
collection DOAJ
description Abstract Although magnetosonic waves in the Earth's magnetosphere have been well understood by the linear theory, low harmonic magnetosonic waves, which often lack of free energy, can be unusually present. By employing a 1‐D particle‐in‐cell simulation model, we have investigated the generation of those unusual lower harmonic magnetosonic waves in a plasma containing a proton ring distribution. In our simulation, the higher harmonic magnetosonic waves (from~9Ωh to ~12Ωh) are firstly excited due to the unstable proton ring, which can be well explained by the linear theory. Several lower harmonic magnetosonic waves (below 5Ωh), which well separates away from the higher harmonics, soon appear in the system. Those lower harmonics, which do not have any positive linear growth rates, can be generated by a nonlinear mechanism. The bicoherence analysis demonstrates that there is a strong phase coupling among the unusual lower harmonic magnetosonic waves and the magnetosonic waves generated due to the proton ring, supporting the idea that the lower harmonic waves could be driven by the wave‐wave couplings of the generated magnetosonic waves. This wave‐wave coupling generation mechanism is further confirmed by another two simulations, where two or three pump magnetosonic waves are initially injected. The lower‐frequency waves, that is, the fundamental wave and its second harmonic, are also successfully reproduced due to the nonlinear coupling of pump magnetosonic waves. Our simulations not only propose a potential generation mechanism of unusual lower harmonic magnetosonic waves in the Earth's magnetosphere, but also give some new insights on the evolution of magnetosonic spectra.
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spelling doaj-art-83f90aa6cfd64359a6f5bec25eb3da1e2025-08-20T01:58:00ZengWileyGeophysical Research Letters0094-82761944-80072018-08-0145168029803410.1029/2018GL079090Generation of Lower Harmonic Magnetosonic Waves Through Nonlinear Wave‐Wave InteractionsXinliang Gao0Jicheng Sun1Quanming Lu2Lunjin Chen3Shui Wang4CAS Key Laboratory of Geospace Environment, Department of Geophysics and Planetary Science University of Science and Technology of China Hefei ChinaCAS Key Laboratory of Geospace Environment, Department of Geophysics and Planetary Science University of Science and Technology of China Hefei ChinaCAS Key Laboratory of Geospace Environment, Department of Geophysics and Planetary Science University of Science and Technology of China Hefei ChinaDepartment of Physics University of Texas at Dallas Richardson TX USACAS Key Laboratory of Geospace Environment, Department of Geophysics and Planetary Science University of Science and Technology of China Hefei ChinaAbstract Although magnetosonic waves in the Earth's magnetosphere have been well understood by the linear theory, low harmonic magnetosonic waves, which often lack of free energy, can be unusually present. By employing a 1‐D particle‐in‐cell simulation model, we have investigated the generation of those unusual lower harmonic magnetosonic waves in a plasma containing a proton ring distribution. In our simulation, the higher harmonic magnetosonic waves (from~9Ωh to ~12Ωh) are firstly excited due to the unstable proton ring, which can be well explained by the linear theory. Several lower harmonic magnetosonic waves (below 5Ωh), which well separates away from the higher harmonics, soon appear in the system. Those lower harmonics, which do not have any positive linear growth rates, can be generated by a nonlinear mechanism. The bicoherence analysis demonstrates that there is a strong phase coupling among the unusual lower harmonic magnetosonic waves and the magnetosonic waves generated due to the proton ring, supporting the idea that the lower harmonic waves could be driven by the wave‐wave couplings of the generated magnetosonic waves. This wave‐wave coupling generation mechanism is further confirmed by another two simulations, where two or three pump magnetosonic waves are initially injected. The lower‐frequency waves, that is, the fundamental wave and its second harmonic, are also successfully reproduced due to the nonlinear coupling of pump magnetosonic waves. Our simulations not only propose a potential generation mechanism of unusual lower harmonic magnetosonic waves in the Earth's magnetosphere, but also give some new insights on the evolution of magnetosonic spectra.https://doi.org/10.1029/2018GL079090magnetosonic waveslower harmonicwave–wave couplingPIC simulationsmagnetosphere
spellingShingle Xinliang Gao
Jicheng Sun
Quanming Lu
Lunjin Chen
Shui Wang
Generation of Lower Harmonic Magnetosonic Waves Through Nonlinear Wave‐Wave Interactions
Geophysical Research Letters
magnetosonic waves
lower harmonic
wave–wave coupling
PIC simulations
magnetosphere
title Generation of Lower Harmonic Magnetosonic Waves Through Nonlinear Wave‐Wave Interactions
title_full Generation of Lower Harmonic Magnetosonic Waves Through Nonlinear Wave‐Wave Interactions
title_fullStr Generation of Lower Harmonic Magnetosonic Waves Through Nonlinear Wave‐Wave Interactions
title_full_unstemmed Generation of Lower Harmonic Magnetosonic Waves Through Nonlinear Wave‐Wave Interactions
title_short Generation of Lower Harmonic Magnetosonic Waves Through Nonlinear Wave‐Wave Interactions
title_sort generation of lower harmonic magnetosonic waves through nonlinear wave wave interactions
topic magnetosonic waves
lower harmonic
wave–wave coupling
PIC simulations
magnetosphere
url https://doi.org/10.1029/2018GL079090
work_keys_str_mv AT xinlianggao generationoflowerharmonicmagnetosonicwavesthroughnonlinearwavewaveinteractions
AT jichengsun generationoflowerharmonicmagnetosonicwavesthroughnonlinearwavewaveinteractions
AT quanminglu generationoflowerharmonicmagnetosonicwavesthroughnonlinearwavewaveinteractions
AT lunjinchen generationoflowerharmonicmagnetosonicwavesthroughnonlinearwavewaveinteractions
AT shuiwang generationoflowerharmonicmagnetosonicwavesthroughnonlinearwavewaveinteractions