In hot-electron transistors and infrared hot-electron transistors, the
energy distribution rho(E) of the injected electrons after Passing th
rough the base can be directly measured at the collector. In this lett
er a theoretical calculation on rho(E) is presented, taking optical ph
onon emission and plasmon emission into account. We found that the rel
ative contributions of these two mechanisms depend on the base doping
density N-d. When N-d is less than 3.3 X 10(17) cm(-3), phonon emissio
n dominates. For a larger N-d, plasmon emission becomes more important
. We applied the calculation to devices with different N-d, and obtain
ed quantitative agreement with the experiment. (C) 1996 American Insti
tute of Physics.