Electromagnetic models for multilayer superconducting transmission lines

Abstract

Thin-film superconducting transmission lines play important roles in many signal transmission and detection systems, including qubit coupling and read-out schemes, electron spin resonance systems, parametric amplifiers, and various ultra high sensitivity detectors. Here we present a rigorous method for computing the electromagnetic behaviour of superconducting microstrip transmission lines and coplanar waveguides. Our method is based on conformal mapping, and is suitable for both homogeneous superconductors and proximity-coupled multilayers. We also present an effective conductivity approximation of multilayers, thereby allowing the multilayers to be analysed using existing electromagnetic design software. We compute the numerical results for Al-Ti bilayers and discuss the validity of our full computation and homogeneous approximation.

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Cited by in corpus (4)

• Nonlinear Properties of Supercurrent-Carrying Single and Multi-Layer Thin-Film Superconductors
• Nonlinear mechanisms in Al and Ti superconducting travelling-wave parametric amplifiers
• Suppressed-gap millimetre wave kinetic inductance detectors using DC-bias current
• The effect of complex dispersion and characteristic impedance on the gain of superconducting traveling-wave kinetic inductance parametric amplifiers