A simple analytical model of quantum-well infrared photodetectors (QWI
Ps) utilising intersubband electron transitions and tunnelling injecti
on of electrons is developed. It is shown that the dark current and th
e responsivity as functions of the QWIP parameters, including the numb
er of QWs, are expressed by means of solutions of a transcendent equat
ion. This equation is valid for a wide range of parameters and conditi
ons where QWIPs can exhibit effective operation. Explicit formulae for
the dark current and the responsivity are obtained in some important
cases. Nonlinear effects in the QWIP operation are considered and thre
shold Values of bias voltage and intensity of infrared radiation are e
stimated.