Electrostatic wave excitation due to bounce resonances of electrons trapped in electron solitary structures

Physics

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2407 Auroral Ionosphere (2704), 2471 Plasma Waves And Instabilities, 2483 Wave/Particle Interactions, 7867 Wave/Particle Interactions

Scientific paper

Electron solitary structures, a signature of electron phase space holes, have been identified by the POLAR and FAST satellites in the auroral acceleration region. Electron phase-space holes are stable regions of depleted electron density. Simulations indicate that the magnetized two-stream instability leads to electron phase space holes, which decay while emitting waves (electrostatic whistlers) governed by the dispersion relation ω 2=ω p2 \cos2 θ where θ is the angle between the wavevector k and Bx while ω p is the plasma frequency. We have shown that these electrostatic waves can resonantly exchange energy with trapped electrons bouncing in a potential well with frequency ω b(ɛ ), a function of the electron energy ɛ , if the condition ω = n ω b(ɛ ) is satisfied for some integer n. We derive the conditions under which trapped electrons resonantly drive electrostatic whistlers and present a comprehensive growth rate calculation. We use our theory to explain the simulation findings and make predictions about electrostatic wave activity in the auroral ionosphere.

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