A new frequency domain hot-electron bolometer (HEB) mixer model is describe
d, which takes into account the non-uniform temperature distribution found
in superconducting diffusion-cooled devices. In this model the bolometer is
discretized into a finite number of segments, and the non-linear large sig
nal response to local oscillator and DC heating is found by an iterative al
gorithm. A frequency-domain coupling matrix is introduced to represent smal
l-signal modulations around the large-signal values of temperatures and hea
t flows inside the device. The coupling matrix and a Norton representation
of the mixer DC and intermediate frequency (IF) circuit allows the mixer co
nversion to be calculated.