Emission in non-isotropic fields

I have also calculated aged spectra for models in which the magnetic field configuration is sheared into a plane (Laing 1980). There are two differences between these and the preceding models. The probability distribution of field strengths is assumed to be given in this case by a two dimensional Maxwellian. Also, the distribution of field line orientations is given by

P(theta) = sintheta dtheta /[ 2pi sqrt(cos^2theta_s - cos^2theta)], (14)

where theta_s is the angle between the line of sight and the plane in which the field is sheared. The range of angles is from theta = theta_s to theta = pi - theta_s. One can also consider the case where the field is one-dimensional, in which case we see electrons at one pitch-angle only and the probability distribution of field strengths is a simple Maxwellian.

In all cases the resultant spectra are very similar to those of the three-dimensional isotropic models considered in previous sections.

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Peter Tribble, peter.tribble@gmail.com