Sergey Maslennikov
http://arxiv.org/abs/1404.5276
The system of differential equations for heat balance in a superconducting HEB and for the HEB electrical circuit is written in recurrent form and solved numerically by the Euler method. Dependence of the HEB resistance on the transport current is taken into account. RF heating efficiency, absorbed local oscillator (LO) power and conversion gain of the HEB mixer are calculated. It is shown that calculated conversion gain is in excellent agreement with experiment. It is shown that substitution of calculated RF heating efficiency and absorbed LO power to expressions for conversion gain and noise temperature given by the analytical small signal model of HEB yields excellent agreement with corresponding measured values.
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