The Tracking and Imaging Gamma-Ray Experiment(4) (TIGRE) uses multilay
ers of silicon strip detectors both as a gamma-ray converter and to tr
ack Compton recoil electrons and positron-electron pairs. The directio
n and energy of the Compton scattered gamma ray and pair particles are
measured with arrays of small CsI(Tl)-photodiode detectors. With a la
rge pi-steradian field-of-view, the prototype instrument described her
e is sensitive to gamma rays from 0.3 to 100 MeV with a typical energy
resolution of 3% (FWHM) and a 1-sigma angular resolution of 120 are m
in. at 2 MeV. It has a high absolute detection efficiency of 8% over t
he full energy range. The telescope will be described and Monte Carlo
calculations will be presented. Measurements with a small desktop inst
rument are presented elsewhere in this volume.