The Hanle effect as a diagnostic of magnetic fields in stellar envelopes. III. Including the finite star depolarization effect

The Hanle effect is a relatively new magnetic diagnostic in stellar astroph ysics. Although a substantial literature exists for applications of the Han le effect in solar studies, the Hanle effect is only a fledgling subject in stellar astrophysics, with previous work focusing on simplistic cases to i solate the magnetic effects on polarized resonance scattering line profiles . In particular, applications to stars have treated the star as a point sou rce of illumination. This paper carries the work forward by considering the consequences of finite stellar size for the line polarization. An approach based on intensity moments is derived. For optically thin line scattering and a star that is uniformly bright, the effect of finite star illumination is shown to produce the familiar finite star depolarization factor found b y Cassinelli, Nordsieck, & Murison in 1987 for Thomson scattering by free e lectrons. An illustrative case is examined to show how the depolarization f actor and magnetic field distribution affect the spatial sensitivity of the Hanle effect as a magnetic diagnostic.