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The authors demonstrate quadratic mixing of weak time harmonicelectromagnetic fields applied to Superconducting Quantum Interference Filters,manufactured from high-$T_{\mathrm{c}}$ grain boundary Josephson junctions andoperated in active microcooler. The authors use the parabolic shape of the dipin the dc-voltage output around B=0 to mix \emph{quadratically} two externalrf-signals, at frequencies $f_{\mathrm{1}}$ and $f_{\mathrm{2}}$ well below theJosephson frequency $f_{\mathrm{J}}$, and detect the corresponding mixingsignal at $| {f_{1}-f_{2}}| $. Quadratic mixing takes also place when the SQIFis operated without magnetic shield. The experimental results are welldescribed by a simple analytical model based on the adiabatic approximation.Comment: 3 pages, 3 figure

Quadratic mixing of radio frequency signals using superconducting quantum interference filters