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An illustration of the CPW coupler and resonator. The inset shows a cross-sectional view of the CPW. The contour of the metal surface and the contour of the exposed surface of the substrate are indicated by the solid line and the dashed line, respectively.
Fractional frequency shift as a function of temperature. is calculated by using . The temperature sweep is in steps of from and in steps of above . The markers represent different resonator geometries, as indicated by the values of the center strip width in the legend. The dashed lines indicate fits to the TLS theory [Eq. (2)].
The scaling of the measured values of the kinetic inductance and TLS filling factor , as well as the calculated values of the CPW geometrical factors and , are shown as a function of the resonator center strip width . The top panel shows the ratios of , , , and to their values for the resonators. The bottom panel shows these ratios normalized by the kinetic inductance ratio .
Values and ratios.
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