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Interaction of a fluxon in the two-dimensional large Josephson junction withthe finite area inhomogeneity is studied within the sine-Gordon theory. Thespectral density of the emitted plane waves is computed exactly for therectangular and rhombic inhomogeneities. Total emitted energy as a function ofthe fluxon velocity exhibits at least one local maximum. Connection to thepreviously studied limiting cases including the point impurity and theone-dimensional limit has been performed. An important feature o f the emittedenergy as a function of the fluxon velocity is a clear maximum (or maxima). Thedependence of these maxima on the geometric properties of the impurity has beenstudied in detail.

Radiation emission due to fluxon scattering on inhomogeneity in large two-dimensional Josephson junction