We analyse the Hanle effect on a closed F-g --> F-e = F-g + 1 transition. T
wo configurations are examined, for linearly and circularly polarized laser
radiation, with the applied magnetic field collinear to the laser light wa
vevector. We describe the peculiarities of the Hanle signal for linearly po
larized laser excitation, characterized by narrow bright resonances at low
laser intensities. The mechanism behind this effect is identified, and nume
rical solutions for the optical Bloch equations are presented for different
transitions.