Fluxon propagation on spatially inhomogeneous long Josephson junctions
This thesis investigates the propagation of fluxons on long Josephson junctions having spatial variations in the London penetration depth of the superconducting-junction electrodes. The fundamental behavior of the fluxons on these types of junctions was modeled analytically and numerically, and this information was related back to the current-voltage characteristics of the junction. These results were then corroborated experimentally. Theoretically, a perturbation theory based on a simple linear expansion about the single soliton solution was used to examine the effect of sharp, step-wise variations of the London penetration depth on the soliton motion. When the loss and bias terms were reintroduced, the perturbation theory was modified to properly take into account the presence of a uniform bias. This made it possible to arrive at an expression for the current as a function of the voltage, loss factors, and the penetration depth variation that was in good agreement with numerical results. The experimental investigation into this problem verified the theoretical results in the limit where the soliton velocity approached the speed of light on the junction.
- Research Organization:
- Wisconsin Univ., Madison, WI (USA)
- OSTI ID:
- 5294307
- Country of Publication:
- United States
- Language:
- English
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