Circuit schematic of the UDC containing only dispersive components. The two low-frequency series LC resonators (with LA=LB and CA=CB) are fed by two input semi-infinite transmission lines, A and B, and parametrically coupled to a third high-frequency series LC resonator leading to an output line C. The parametric coupling is achieved by varying
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the mutual inductances M1 and M2 between the left and right resonators at the carrier frequency ‰c, which, for optimal frequency conversion, is set at the band centre of the right resonator. When operated from left to right, the circuit carries out the modulation of low-frequency signals of frequency ‰0 travelling on ports A and B to generate sidebands at ‰c ± ‰0 travelling on the high-frequency line C. It carries out the inverse operation of demodulation when operated in reverse from right to left. b, Spectral density/response landscape for different spatial channels (or ports) of the UDC circuit in a as a function of frequency. The dotted lines represent the couplings between different ports. The solid and the dashed arrows represent different frequencies and respective conjugates. The resonance line shapes of the two spatially distinct ports A and B are centred at. Here we show the case when the incoming signal at ‰0 is resonant with the centre frequency ( ‰0= ‰A, B). The two sidebands generated by the UDC on channel C are detuned from the pump at ‰c by equal amounts.
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