Abstract

Abstract. We investigate the ray trajectories of nonductedly propagating lower-band chorus waves with respect to their initial angle θ0, between the wave vector and ambient magnetic field. Although we consider a wide range of initial angles θ0, in order to be consistent with recent satellite observations, we pay special attention to the intervals of initial angles θ0, for which the waves propagate along the field lines in the source region, i.e. we mainly focus on waves generated with &theta0 within an interval close to 0° and on waves generated within an interval close to the Gendrin angle. We demonstrate that the ray trajectories of waves generated within an interval close to the Gendrin angle with a wave vector directed towards the lower L-shells (to the Earth) significantly diverge at the frequencies typical for the lower-band chorus. Some of these diverging trajectories reach the topside ionosphere having θ close to 0°; thus, a part of the energy may leak to the ground at higher altitudes where the field lines have a nearly vertical direction. The waves generated with different initial angles are reflected. A small variation of the initial wave normal angle thus very dramatically changes the behaviour of the resulting ray. Although our approach is rather theoretical, based on the ray tracing simulation, we show that the initial angle θ0 of the waves reaching the ionosphere (possibly ground) is surprisingly close - differs just by several degrees from the initial angles which fits the observation of magnetospherically reflected chorus revealed by CLUSTER satellites. We also mention observations of diverging trajectories on low altitude satellites.

Highlights

  • Together with the lightning induced whistlers, chorus emissions belong to the most distinct electromagnetic waves propagating in the inner magnetosphere

  • We consider a wide range of initial angles θ 0, in order to be consistent with recent satellite observations, we pay special attention to the intervals of initial angles θ 0, for which the waves propagate along the field lines in the source region, i.e. we mainly focus on waves generated with θ 0 within an interval close to 0◦ and on waves generated within an interval close to the Gendrin angle

  • Other observations, which are consistent with the existence of diverging trajectories, are the measurements of ELF waves by Santolık and Parrot (1999, 2000) on the lowsible source region near the geomagnetic equator at a radial distance between 5 and 7 RE, and a generation mechanism acting on highly oblique wave vectors near the local Gendrin angle

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Summary

Introduction

Together with the lightning induced whistlers, chorus emissions belong to the most distinct electromagnetic waves propagating in the inner magnetosphere. It has generally been accepted that the lower band chorus is generated with wave vectors directed close to the magnetic field lines The latter assumption is based on the satellite measurements carried out close to the source region, which show that the mean value of wave normal angle θ 0 is usually small, close to zero (Nagano et al, 1996). The detailed ray tracing analysis of the MR chorus shows that the emission has to be generated with relatively large wave normal angles θ 0 to the magnetic field line (Parrot et al, 2004), with the wave vector directed towards the Earth. Chum et al (2003) showed, under the assumption of nonducted propagation, that a span of wave normal angles should exist in the generation region, so that it would be possible to observe a chorus element at higher latitudes. In a related experimental paper (Santolık et al, 20051), we present an interpretation of spacecraft observations of the divergent propagation pattern at high latitudes

Ray tracing
Magnetospheric reflection
Ray trajectories for a wide range of initial angles θ0
Summary
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