Abstract

Featured observations of high frequency (HF) heating experiments are first introduced; the uniqueness of each observation is presented; the likely cause and physical process of each observed phenomenon instigated by the HF heating are discussed. A special point in the observations, revealed through the ionograms, is the competition between the Langmuir parametric instability and upper hybrid parametric instability excited in the heating experiments and the impact of the natural cusp at foE (the peak plasma frequency of the ionospheric E region) on the competition. The ionograms also infer the generation of Langmuir and upper hybrid cavitons. Ray tracing theory is formulated. With and without the appearance of large-scale field-aligned density irregularities in the background ionosphere, ray trajectories of the ordinary mode (O-mode) and extraordinary mode (X-mode) sounding pulses are calculated numerically. The results explain the artificial Spread-F recorded by the digisondes in the heating experiments. Parametric instabilities, which are the directly relevant processes to achieve effective heating of the ionospheric F region, are formulated and analyzed. The threshold fields and growth rates of Langmuir and upper hybrid parametric instabilities are derived as the theoretical basis of many radar observations and electron-plasma wave interactions. Harmonic cyclotron resonance interaction processes between electrons and upper hybrid waves are introduced. Formulation and analysis are presented. The numerical results show that ultra-energetic electrons are generated. These electrons enhance airglow at 777.4 nm as well as cause ionization. Physical processes leading to the generation of artificial ionization layers are discussed. The nonlinear Schrodinger equation governing the nonlinear evolution of Langmuir waves and upper hybrid waves are derived and solved. The nonlinear periodic and solitary solutions of the equations are obtained. The localized Langmuir and upper hybrid waves generated by the HF heater form cavitons near the HF reflection layer and near the upper hybrid resonance layer, which induce bumps in the virtual height spread of the ionogram trace similar to that induced by the density cusp at E-F1 transition layer; the down-going Langmuir waves and upper hybrid waves evolve into nonlinear periodic waves propagating along the magnetic field, which backscatter incoherently the sounding pulses to cause downward virtual height spread.

Highlights

  • Parametric instabilities excited in the high frequency (HF) heating experiments have been monitored by UHF/VHF radars [1,3], which receive return signals backscattered by the plasma waves

  • The results show the time change of the virtual height spread as well as the development of bumps next to the HF reflection layer and upper hybrid resonance layer

  • The large-scale FAIs could be generated through the filamentation of the HF heating wave [36], the FAIs responsible for the virtual height spread appearing in Figure 5b are likely generated by the thermal instability [37] driven by the downward and upward heat flow from the heat sources located near the HF reflection region and near the upper hybrid resonance region

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Summary

Introduction

Most of the HF heating experiments were focused on the F region modification on the bottom side of the ionosphere, where the HF heating wave induces significant electron quiver motion in the region below and near the HF reflection height; parametric instabilities are excited to convert EM wave to plasma (ES) waves [6]. This is done by employing O-mode heating wave with frequency less than the maximum cutoff frequency (FoF2) of the ionosphere to confine the HF wave in the bottom side of the ionosphere. The present work is aimed at providing theoretical foundation for the understanding of experimental observations in active wave-ionosphere interaction and the underlying linear and nonlinear plasma processes.

HFPLs and HFILs
Competition between Langmuir PDI and Upper Hybrid PDI
Airglow Enhancement
Energetic Electron Flux
Artificial Spread-F
Ionization Enhancement
Artificial Cusp
Ray Tracing
General Formulation of Ray Trajectory Equations
Ray Trajectories of Sounding Pulses-Spread-F
Parametric Instabilities Excited in HF Heating Experiments
OTSI and PDI near the HF Reflection Height
OTSI—HF Heating Wave Decaying to Upper Hybrid Sidebands and Field-Aligned
Impact of Double Resonances on Parametric Excitation of Upper Hybrid PDI
Instabilities under Double Resonance Situation
Harmonic Electron Cyclotron Resonance Interactions
Generation of Energetic Electrons
Nonlinear Schrodinger Equations for the Langmuir Waves and Upper Hybrid Waves
Nonlinear Envelope Equation of the Electron Plasma Waves
Analysis
Periodic Solutions
Solitary Solution
Findings
Discussion
Full Text
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