Qualitative features of synchrotron radiation in an inhomogeneous magnetic field

Astronomy and Astrophysics – Astronomy

Scientific paper

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Crab Nebula, Energy Spectra, Nonuniform Magnetic Fields, Spectrum Analysis, Synchrotron Radiation, Astronomical Models, Compton Effect, Gamma Rays, Mathematical Models, Power Spectra

Scientific paper

The synchotron spectrum for radiation generated in a nonuniform magnetic field is analyzed. It is shown that in this case, the low-energy spectrum is flattened by a half-power law and the specific shape of the low-energy cutoff depends on the geometry of the magnetic inhomogeneities as well as their size dispersion. The analysis is applied to obtain a reasonable set of parameters that can reproduce the gross features of the integral spectrum of the Crab Nebula. The results indicate that an injection spectrum of electrons with a power-law index of 2.6 is acceptable for a reasonable fit to the nebula's spectrum.

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