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Fluxon transmission through impurities of different shape in aquasi-one-dimensional long Josephson junction is investigated. The junctionwidth is significantly less than its length but, at the same time, is of theorder of the Josephson penetration length $\lambda_J$ or exceeds it. Theretrapping current on the impurities of the point, line and rectangular shapeis computed as a function of the junction width both numerically andanalytically. Good agreement between the analytic formulae and the numericalsimulation results for the intermediate (several $\lambda_J$) junction width isobserved.

Scattering of quasi-one-dimensional solitons on impurities in large Josephson junctions