On Transmission Line Resonances in High T$_C$ dc SQUIDs

TL;DR

This paper investigates transmission line resonances in high-temperature dc SQUIDs fabricated on high dielectric constant substrates, deriving power balance equations and analyzing their impact on key electrical characteristics.

Contribution

It provides an analytical derivation of power balance equations for symmetric and asymmetric high T$_C$ dc SQUIDs, enhancing understanding of their resonance behavior.

Findings

Resonances are prominent in SQUIDs on high dielectric substrates.

Derived analytical expressions for power balance in symmetric and asymmetric SQUIDs.

Analyzed effects on I(V), V(Φ), and ΔV characteristics.

Abstract

In this paper, we study transmission line resonances in high $T_C$ dc SQUIDs. These resonances are exhibited in the characteristics of SQUIDs which are fabricated on substrates with high dielectric constant, such as strontium titanate. The power balance equation is analytically derived both for symmetric and asymmetric SQUIDs. Using this, we investigate SQUID current - voltage $I(V)$, voltage - flux $V(\Phi)$ and voltage modulation $\Delta V$ characteristics.