  We revisit the inverse source problem in a two dimensional absorbing and
scattering medium and present a non-iterative reconstruction method using
measurements of the radiating flux at the boundary. The attenuation and
scattering coefficients are known and the unknown source is isotropic. The
approach is based on the Cauchy problem for a Beltrami-like equation for the
sequence valued maps, and extends the original ideas of A. Bukhgeim from the
non-scattering to scattering media. We demonstrate the feasibility of the
method in a numerical experiment in which the scattering is modeled by the two
dimensional Henyey-Greenstein kernel with parameters meaningful in Optical
Tomography.
