Ivan O. Starodub, Yaroslav Zolotaryuk
Fluxon transmission through impurities of different shape in a quasi-one-dimensional long Josephson junction is investigated. The junction width is significantly less than its length but, at the same time, is of the order of the Josephson penetration length $\lambda_J$ or exceeds it. The retrapping current on the impurities of the point, line and rectangular shape is computed as a function of the junction width both numerically and analytically. Good agreement between the analytic formulae and the numerical simulation results for the intermediate (several $\lambda_J$) junction width is observed.
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http://arxiv.org/abs/1206.3995
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