A two-dimensional hot-spot mixer model for phonon-cooled hot electron bolometers
Harald F. Merkel (University of Gothenburg, Chalmers University of Technology)
Pourya Khosropanah (University of Gothenburg, Chalmers University of Technology)
Serguei Cherednichenko (Chalmers University of Technology, University of Gothenburg)
K. Sigfrid Yngvesson (University of Massachusetts Amherst)
Aurèle Adam (University of Gothenburg, Chalmers University of Technology)
Erik L. Kollberg (Chalmers University of Technology, University of Gothenburg)
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Abstract
A hot spot model for superconducting hot electron bolometers is presented based on a two-dimensional heat transport equation for electrons and phonons including heat trapping due to quasiparticle bandgap gradients. Skin effect concentrates the RF heating in lateral regions of the bridge and the bias current in the center. A reduction in conversion gain compared to a one-dimensional hot spot model is explained by the RF and bias heating profiles not being identical. An experimentally verified increase of the IF bandwidth from 3.5 GHz to 8 GHz when increasing bias voltage is predicted. IV curves, gain and noise are in very good agreement with measurements.