[21a-W833-1~12] 11.4 Analog applications and their related technologies

[21a-W833-12] Analysis of a superconducting resonator using the extended Mattis-Bardeen theory

〇Takashi Noguchi¹, Masakazu Sekine², Agnes Dominjon¹, Yutaro Sekimoto¹ (1.NAOJ, 2.Tokyo Univ.)

Keywords:superconductivity,complex conductivity,resonator

Analytical expressions for equations of the complex conductivity of a superconductor derived from the extended Mattis-Bardeen theory are presented and properties of superconducting resonators are studied analytically using those equations. It is confirmed that saturation of the quality factor of a superconducting resonator at low temperature can be attributed to the gap broadening. It is also found that behaviors of a superconducting resonator at low temperature can be well predicted by the extended Mattis-Bardeen theory.