Conversion efficiency in a Josephson effect mixer
Valentina S.U. Fazio
TL;DR
This paper presents an analytical model for the conversion efficiency of a Josephson effect mixer, demonstrating the potential for efficiencies exceeding unity through phase-locking dynamics.
Contribution
It introduces an analytical formula based on the RCSJ model and investigates fluxon dynamics using the sine-Gordon equation to enhance understanding of mixer efficiency.
Findings
Conversion efficiency can surpass unity.
Phase-locking between fluxon oscillations and external signal is achievable.
Analytical formula for efficiency in Josephson mixers is derived.
Abstract
The RCSJ (Resistor-Capacitor Shunted Junction) model provides us an analytical formula for the conversion efficiency for a resonant Josephson effect mixer. An external rf signal is applied to a long Josephson junction operating in the fluxon oscillating regime. The sine-Gordon equation is used to investigate the dynamics of the phase-locking between the fluxon oscillations and the external signal. We obtain that it is possible to have conversion efficiency greater than unity.
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