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.
Bibliographical noteCopyright (1994) by the American Physical Society.
Sakai, S., Ustinov, A. V., Kohlstedt, H., Petraglia, A., & Pedersen, N. F. (1994). Theory and experiment on electromagnetic-wave-propagation velocities in stacked superconducting tunnel structures. Physical Review B, 50(17), 12905-12914. https://doi.org/10.1103/PhysRevB.50.12905