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In situ broadband cryogenic calibration for two-port superconducting microwave resonators
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View: Figures


Image of FIG. 1.
FIG. 1.

(a) The quasi-two-dimensional cut-circle microwave cavity in a three-dimensional perspective, showing the cavity dimensions, ports, and the perturber. (b) Projected two-dimensional view of the cut-circle billiard.

Image of FIG. 2.
FIG. 2.

Schematic experimental setup of the in situ broadband cryogenic calibration system. The 5 pairs of phase-matched coaxial cables have nearly identical length and are not shown to scale.

Image of FIG. 3.
FIG. 3.

The magnitude of (a) |S 11| and (b) |S 21| with high-quality-factor resonances from 3 to 18 GHz of a single realization of the superconducting cavity in the in situ cryogenic calibration system. The data have been calibrated with the TRL calibration and corrected by the pseudo-Open method.

Image of FIG. 4.
FIG. 4.

The magnitude of raw measured scattering matrix element S 11 (black solid curves) and S 21 (red dashed curves) versus frequency for the superconducting cut-circle microwave cavity at 6.6 K. (a) An example with the frequency band from 14.0 to 14.5 GHz plotted in linear scale; (b) another example with the frequency band from 15.5 to 16.0 GHz plotted in semi-logarithmic scale.

Image of FIG. 5.
FIG. 5.

The magnitude of TRL-calibrated S 11 (the black curve) and the pseudo-Open standard (the thicker light-blue curve) versus frequency.

Image of FIG. 6.
FIG. 6.

Shown are 12 examples of different realizations of U 1 = (|S TRL, 11|2 + |S TRL, 21|2)1/2 in varied colors versus frequency.

Image of FIG. 7.
FIG. 7.

The magnitude of TRL-calibrated and pseudo-Open-corrected S 11 (the black solid curve) and S 21 (the red dashed curve) versus frequency. The horizontal blue line shows |S| = 1.

Image of FIG. 8.
FIG. 8.

The probability density of (a) |S 11| and (b) |S 21| of the RMT predictions (thicker light-blue curves), the experimental data from the superconducting cut-circle cavity at 6.6 K with TRL-calibration (red dash curves), and the data with TRL-calibration and pseudo-Open correction (black curves).


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: In situ broadband cryogenic calibration for two-port superconducting microwave resonators