  Superconducting thin-film metamaterial resonators can provide a dense
microwave mode spectrum with potential applications in quantum information
science. We report on the fabrication and low-temperature measurement of
metamaterial transmission-line resonators patterned from Al thin films. We also
describe multiple approaches for numerical simulations of the microwave
properties of these structures, along with comparisons with the measured
transmission spectra. The ability to predict the mode spectrum based on the
chip layout provides a path towards future designs integrating metamaterial
resonators with superconducting qubits.
