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We consider an inverse source problem in the stationary radiating transportthrough a two dimensional absorbing and scattering medium. Of specificinterest, the exiting radiation is measured on an arc. The attenuation andscattering properties of the medium are assumed known. For scattering kernelsof finite Fourier content in the angular variable, we show how toquantitatively recover the part of the isotropic sources restricted to theconvex hull of the measurement arc. The approach is based on the Cauchy problemwith partial data for a Beltrami-like equation associated with $A$-analyticmaps in the sense of Bukhgeim, and extends authors' previous work to thisspecific partial data case. The robustness of the method is demonstrated by theresults of several numerical experiments.

A source reconstruction method in two dimensional radiative transport using boundary data measured on an arc