We consider an inverse source problem in the stationary radiating transport through a two dimensional absorbing and scattering medium. The attenuation and scattering properties of the medium are assumed known and the unknown vector field source is isotropic. For scattering kernels of finite Fourier content in the angular variable, we show how to recover the isotropic vector field sources from boundary measurements. The approach is based on the Cauchy problem for a Beltrami-like equation associated with $A$-analytic maps in the sense of Bukhgeim. This is a joint work with Kamran Sadiq (RICAM).