For the optimization of the operation of rf-SQUIDs a high pumping freq
uency f(0) and a high quality factor Q of the tank circuit are desirab
le. For this purpose we used a washer rf SQUID or a current-injection
loop SQUID integrated with a modified planar hairpin resonator around
the SQUID. On LaAlO3 substrates, we measured f(0) at resonance in the
range of about 550 MHz to 1.1 GHz and unloaded quality factors Q(0) fr
om 4000 to about 6000 using several layouts with different diameters,
We found that the coupling coefficient k between the SQUID and the res
onator can be estimated from the geometrical parameters of the layout,
The requirement k(2)Q>1 can easily be met with our design. Our layout
s are very flexible, as they make possible the implementation of vario
us single and multilayer antennas, Using a single layer flux transform
er, 13 mna in outer diameter, together with a SQUID in flip chip techn
ique we obtained II white flux noise of 50 fT/root Hz for a 150 pH SQU
ID.