Based on a one dimensional heat transport equation for the electrons in a s
uper-conducting hot electron bolometer (HEB) a model for a hot spot mixer i
s set up. The hot spot parameters are applied in a small signal oscillator
model predicting IV curves and conversion gain. Besides its normal resistan
ce and its IF bandwidth a HEB around its optimal operating point is suffici
ently characterized by its hot spot length as a function of heating power.
All mixer properties can be derived from this parameter set.