IEEE TRANSACTIONS ON APPLIED ... - UMD Physics

This article has been accepted for inclusion in a future issue of this journal. Content is final as presented, with the exception of TRANSACTIONS ON APPLIED SUPERCONDUCTIVITY1 Loss Dependence on Geometry and APPLIED Power inSuperconducting Coplanar ResonatorsMoe S. Khalil, F. C. Wellstood, and Kevin D. OsbornAbstract The loss in superconducting microwave resonators atlow-photon numbers and low temperatures is not well understoodbut has implications for achievable coherence times in supercon-ducting qubits. We have fabricated single-layer resonators witha high quality factor by patterning a superconducting aluminumfilm on a sapphire substrate. Four resonator geometries werestudied with resonant frequencies ranging from 5 to 7 GHz: aquasi-lumped element resonator, a coplanar strip waveguide res-onator, and two hybrid designs that contain both a coplanar stripand a quasi-lumped element.

2 IEEE TRANSACTIONS ON APPLIED SUPERCONDUCTIVITY Fig. 1. Optical images of four resonators measured (gray/white is aluminum metal and black is sapphire substrate). Circle 1 labels the current anti-node and voltage node of resonators and Circle 2 labels one of the two current nodes and

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