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- W1966202315 abstract "The existence of localized regions of intense lower hybrid waves in the auroral ionosphere recently observed by rocket and satellite experiments can be understood by the study of a non-linear two-timescale coupling process. Such type of wave-wave interactions was first described by Musher and Sturman [1975]. In this Letter, we demonstrate that the leading non-linear term in the standard Musher-Sturman equation vanishes identically in strict two-dimensions (normal to the magnetic field). Instead, the new two-dimensional equation is characterized by a much weaker non-linear term which arises from the ponderomotive force perpendicular to the magnetic field, particularly that due to the ions. The old and new equations are compared by means of time-evolution calculations of wave fields. The results exhibit a remarkable difference in the evolution of the waves as governed by the two equations. Such dissimilar outcomes motivate our investigation of the limitation of Musher-Sturman equation in quasi-two-dimensions. We show that the equation may be applicable only if κ∥²/κ⟂²≫ω²/Ωe², where ω² ≲ ωA² or Ωi² In addition, assumptions of quasi-steady slow-mode responses by ions and electrons require ω²/κ²νi² and ω²/κ∥²νe² ≪ 1 respectively. Only within all these limits can Musher-Sturman equation adequately describe the collapse of lower hybrid waves." @default.
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- W1966202315 date "1995-05-01" @default.
- W1966202315 modified "2023-10-17" @default.
- W1966202315 title "The limitation and applicability of Musher-Sturman Equation to two-dimensional lower hybrid wave collapse" @default.
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- W1966202315 doi "https://doi.org/10.1029/95gl01063" @default.
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