3.3 Intermediate thin-thick target coronal sources
The observation of Masuda et al. (1994) suggests a model that consists of four basic elements: a particle
accelerator above the top of a magnetic loop (consistently imagined at the peak of a cusp), a coronal source
visible in SXR and HXR, collision-less propagation of particles along the magnetic loop and HXR-footpoints
in the chromosphere. Wheatland and Melrose (1995) developed a simple model that has been used and
investigated further (e.g., Metcalf and Alexander, 1999; Fletcher and Martens, 1998). The thermal coronal
source acts as an intermediate thin-thick target on electrons depending on energy (thick target for lower
energetic electrons, thin target on higher energies). This model is known as intermediate thin-thick target,
or ITTT model. The ITTT model features a dense coronal source into which a beam of electrons
with a power-law energy distribution is injected. Some high-energy electrons then leave the
dense region and precipitate down to the chromosphere. The coronal region acts as a thick
target on particles with energy lower than a critical energy Ec and as thin target on electrons
with energy
Ec. This results in a characteristic hard X-ray spectrum showing a broken
power-law as well as soft X-ray emission due to collisional heating of the coronal region. The altered
electron beam reaches the chromosphere, causing thick target emission in the footpoints of the
magnetic loop. Battaglia and Benz (2007) have tested the ITTT model in a series of flares
using RHESSI data. The results indicate that such a simple model cannot account for all of the
observed relations between the non-thermal spectra of coronal and footpoint sources. Including
non-collisional energy loss of the electrons in the flare loop due to an electric field can solve most of the
inconsistencies.
The simple ITTT model shows that the standard flare geometry is consistent with current observations.
The remaining inconsistencies concern the coronal source. Its non-thermal component was found less bright
than the footpoints would predict according the ITTT model (Battaglia and Benz, 2008). A
possible remedy is acceleration within the thermal coronal source. Jiang et al. (2006
) argue
that thermal conductivity in the coronal source is reduced by wave turbulence to interpret the
soft X-ray emission. Turbulence would also scatter non-thermal particles or even accelerate
them.
It is proper to conclude that the coronal X-ray source is not understood.