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An application-specific Josephson generator is being developed as an on-chipcalibration source for single-microwave-photon detectors operating below $T\sim $100 mK in the frequency range from 110 to 170 GHz. The targetedcalibration power corresponds to the photon detection rate of 0.01 to 10 countsper second. We analyze the Josephson oscillations within the framework of thetunnel junction microscopic (TJM) model and find the corrections to be made toa standard RSJ model of the junction, operating as a quasi-monochromatic sourceof microwaves. Experimentally, we implemented a number of aluminium-basedtwo-junction interferometers connected to the leads via microstriplineresistors made of partly oxidized titanium films. The $I$-$V$ curves exhibit abehaviour ensuring generation of the microwave signal in the frequency rangerequired. By setting the biasing point $\bar{V}$ and applying the magneticfield, one can tune the generator's frequency and power, respectively. A smalloscillation linewidth, down to a few GHz, and a low level of black-bodyradiation emitted by hot parts of the circuit are predicted, using theexperimental parameters.

Al/AlO$_{\rm {x}}$/Al-Josephson-junction-based microwave generators for weak-signal applications below 100 mK