  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.
