Theory and experiment on electromagnetic-wave-propagation velocities in stacked superconducting tunnel structures

S. Sakai; A. V. Ustinov; H. Kohlstedt; A. Petraglia; N. F. Pedersen

doi:10.1103/PhysRevB.50.12905

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Theory and experiment on electromagnetic-wave-propagation velocities in stacked superconducting tunnel structures

S. Sakai, A. V. Ustinov, H. Kohlstedt, A. Petraglia, N. F. Pedersen

DOI 10.1103/PhysRevB.50.12905 · Physical Review B

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Abstract

Characteristic velocities of the electromagnetic waves propagating in vertically stacked Josephson transmission are theoretically discussed. An equation for solving n velocities of the waves in an n Josephson-junction stack is derived. The solutions of two- and threefold stacks are especially focused on. Furthermore, under the assumption that all parameters of the layers are equal, analytic solutions for a generic N-fold stack are presented. The velocities of the waves in two- and three-junction stacks by Nb-Al-AlOx-Nb systems are experimentally obtained by measuring the cavity resonance (Fiske step) modes. Comparison of the theory with the experimental data reveals good quantitative agreement.