## Abstract

I investigate the effect of non-uniform magnetic fields in the extended structures of radio galaxies on the observed synchrotron and inverse-Compton emission. On the assumption of an isotropic field, with a given power spectrum and a Gaussian distribution of the Cartesian components of the magnetic field strength, I derive a simple integral that can be used numerically to calculate the synchrotron emissivity from any electron population. In the case of power-law spectra, I show that it is possible to estimate the difference between the synchrotron emissivity from a region with such a field and that from the commonly assumed arrangement where B is constant everywhere, though fully tangled, and that this difference is small, though it increases if the electron energy density scales with the field. An aged electron spectrum in such a field produces a characteristic curved synchrotron spectrum which differs significantly from the classical Jaffe-Perola spectrum, and I discuss some effects that this might have on standard spectral age fitting. Finally, I show that inverse-Compton scattering of the cosmic microwave background is only moderately affected by such a field structure, with the effects becoming more important if the electrons follow the field. Magnetic field estimates in the literature from combined synchrotron and inverse-Compton modelling will give reasonable estimates of the mean magnetic field energy density if the field is non-uniform but isotropic.

Original language | English |
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Pages (from-to) | 3364-3372 |

Number of pages | 9 |

Journal | Monthly Notices of the Royal Astronomical Society |

Volume | 433 |

Issue number | 4 |

DOIs | |

Publication status | Published - Aug 2013 |

## Keywords

- radiation mechanisms: non-thermal
- galaxies: active
- radio continuum: galaxies
- X-RAY-EMISSION
- HOT-SPOTS
- SCALE JETS
- LOBES
- SPECTRA
- MULTIFREQUENCY
- MODELS
- SIMULATIONS
- TURBULENCE
- TRANSPORT