Theoretical study of the electromagnetic wave behavior in Josephson transmission line using MATLAB model

Abstract

This paper presented a detailed description of how the magnetic vector potential (A) can be evaluated for an infinite weak link Josephson junction with planar geometry. Utilizing the magnetic vector potential formulation, both electric and magnetic fields were computed , and by using MATLAB model we showed that we obtained the same dispersion results as other approaches have previously demonstrated. However, we first revisited the beginnings of the Josephson junction and the conventional formulation techniques used to describe the electromagnetism of layered superconducting structures and Josephson junctions. In addition, we derived the field equations, for a transverse magnetic, for a superconducting transmission line, and take an in depth look at what these electromagnetic field equations represent.