Similarity solutions for synchrotron emission from a supernova blast wave

Astronomy and Astrophysics – Astrophysics

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Interstellar Magnetic Fields, Interstellar Matter, Shock Waves, Similarity Theorem, Supernova Remnants, Supernovae, Synchrotron Radiation, Cosmic Rays, Data Reduction, Faraday Effect

Scientific paper

The radio synchrotron emission from supernova remnants often shows an apparent barrel-shaped morphology which suggests that the magnetic field associated with the emission is the roughly uniform interstellar field compressed and distorted by the passage of the shock bounding the remnant. A similarity solution for the flow, magnetic field and the distribution of cosmic ray electrons produced by the diffusive shock acceleration process is obtained under certain simplifying assumptions and the corresponding pattern of the resulting synchrotron emission is calculated. It is found that, provided the influence of the accelerated cosmic rays is taken into account, the anisotropy of the emission pattern is in reasonable agreement with that observed. However some attention should be paid to the possibility of turbulent amplification of the magnetic field, resulting from internal instabilities in the cosmic ray shock that must be involved, and to the potential obliquity-dependence of the cosmic ray electron injection process. Both of these effects could lead to an enhancement of the anisotropy of the observed emission.

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