Afterglow polarizations in a stratified medium with effect of the equal arrival time surface

The environment of gamma-ray burst (GRB) has an important influence on the evolution of jet dynamics and of its afterglow. Here we investigate the afterglow polarizations in a stratified medium with the equal arrival time surface (EATS) effect. Polarizations of multi-band afterglows are predicted. The effects of the parameters of the stratified medium on the afterglow polarizations are also investigated. We found the influences of the EATS effect on the afterglow polarizations become important for off-axis detections and PD bumps move to later times with the EATS effect. Even the magnetic field configurations, jet structure and observational angles are fixed, polarization properties of the jet emission could still evolve. Here, we assume a large-scale ordered magnetic field in the reverse-shock region and a two-dimensional random field in the forward-shock region. Then PD evolution is mainly determined by the evolution of $f_{32}$ parameter (the flux ratio between the reverse-shock region and forward-shock region) at early stage and by the evolution of the bulk Lorentz factor $\gamma$ at late stage. Through the influences on the $f_{32}$ or $\gamma$, the observational energy band, observational angles, and the parameters of the stratified medium will finally affect the afterglow polarizations.Comment: 16 pages, 8 figures, accepted by Ap

Treatment of nonunions of humeral fractures with interlocking intramedullary nailing

ObjectiveTo introduce the experience of treating nonunions of humeral fractures with interlocking intramedullarynailing.MethodsTwelve patients with humeral nonunions were treated with interlocking intramedullary nailing. The time interval between trauma and surgery was 10.5 months on average. Open reduction with anterograde approach was performed. Axial compression was specially applied to the fracture site with humeral nail holder after insertion of distal locked screws. Iliac bone grafting was added.ResultsThe average follow-up period was 21 months (ranging 9-51 months). All patients achieved osseous union 5.8 months after treatment on average. Eleven patients had good functions of the shoulder joints and the upper extremities. No patient experienced any permanent neurological deficit. Refracture of the original ununited region occurred in one patient after removal of the internal fixator one year later, but union was achieved after closed re-intramedullarynailing fixation.ConclusionHumeral interlocking intramedullarynailing is an effective alternative treatment for humeral nonunion