Closed form solution for the self-resonances in a short Josephson junction

TL;DR

This paper derives a closed-form analytical solution for self-resonances in short Josephson tunnel junctions, including the modern case of 0-π junctions, providing an alternative to traditional series expansion methods.

Contribution

It introduces a novel closed-form solution for self-resonances in short Josephson junctions, expanding applicability to 0-π junctions and offering an alternative to existing series expansion approaches.

Findings

Closed-form solution for self-resonances derived.

Applicable to 0-π Josephson junctions.

Provides an alternative to series expansion methods.

Abstract

We present a closed form solution for the self-resonances in a short Josephson tunnel junction. This solution is alternative to the well known textbook result \cite{Barone,Kulik} based on a series expansion. Results are derived for the up-to-date case of a $0 - \pi$ junction.