next up previous
Next: 2.2. Computing the Antenna Up: 2. From Measured Spectra Previous: 2. From Measured Spectra

2.1. Preliminary Remarks About the Observations

In order to interpret the spectral density observed, let us emphasize two observational facts:
1. The signal is extremely stable. It has no growing peak or saturation (except in the close vicinity of the magnetic equator), and the variations of the midband amplitude and spectral shape are very small and smooth during the several hours duration of the IPT encounter (Figure 1).

   figure35
Figure 1: Absolute minima and maxima (from the gyrofrequency to 48.5 kHz) for each of the 77 power spectra acquired by Ulysses during its Io torus crossing on February 8, 1992 (of which two examples are shown in Figure 2). Except in the few cases where the instrument was saturated, six cases close to the magnetic equator (which is indicated as a dotted line) and two isolated cases, the ratio between the maxima (which take place roughly in the middle of the gyroharmonic band) and the minima (which are always very close to a gyroharmonic) is about two decades. The bottom and top curves show the instrument noise level at the frequency of each minimum and the instrument saturation level at the frequency of each maximum, respectively.

This signal can be quantitatively interpreted as quasi-thermal noise from suprathermal electrons [Meyer-Vernet, Hoang and Moncuquet, 1993]. The lack of variation in the signal's intensity over time suggests the kind of configuration the ambient plasma is in; here we mean that the distribution may be multi-Maxwellian or kappa-like but does not contain beams, loss cones, or other strong anisotropic features with enough free energy to drive instabilities. It is indeed difficult to imagine that an unstable distribution (see for example [Kennel and Ashour-Abdalla, 1982]) could yield the roughly constant midband amplitudes observed during more than 3 hours (see Figure 1) at a level which is just what is expected from the (stable) tex2html_wrap_inline1238 keV suprathermal component present in this region [Sittler and Strobel, 1987]. This point will be confirmed by our experimentally derived dispersion curves in the next section.

2. The power into the antenna reaches its lowest level, the thermal level, at gyroharmonic frequencies. The signal increases smoothly to about a hundred times that value in the middle of the harmonic bands (see Figure 1 and two samples on Figure 2). Here we shall not calculate explicitly the amplitude between the gyroharmonics, since that would involve an arbitrary chosen velocity distribution [Sentman, 1982]; but we may remark that a general condition for electrons of velocity tex2html_wrap_inline1240 to damp (or excite) a wave tex2html_wrap_inline1242 in a magnetized plasma is just tex2html_wrap_inline1244 , where n is an integer, tex2html_wrap_inline1120 is the angular gyrofrequency, and tex2html_wrap_inline1250 and tex2html_wrap_inline1252 denote parallel projections of tex2html_wrap_inline1254 and tex2html_wrap_inline1240 , respectively, on the magnetic field tex2html_wrap_inline1202 . This equation only expresses the equality between the wave frequency and the frequency of the oscillators formed by the electrons spiraling along the magnetic field, taking into account the Doppler shift due to the velocity parallel to tex2html_wrap_inline1202 . Hence all waves with tex2html_wrap_inline1262 are damped at gyroharmonic frequencies and weakly damped between them, and we may assume that the signal enhancement between gyroharmonics is due to the excitation of such waves by suprathermal electrons. For these electrons, tex2html_wrap_inline1264 (the thermal electron gyroradius), and if tex2html_wrap_inline1266 (as we shall see), the condition tex2html_wrap_inline1268 can thus only be met between gyroharmonics for tex2html_wrap_inline1270 .


next up previous
Next: 2.2. Computing the Antenna Up: 2. From Measured Spectra Previous: 2. From Measured Spectra

Michel Moncuquet
Tue Nov 18 19:18:28 MET 1997