The interaction of a fluxon with a local defect in a damped dc driven long Josephson junction (LJJ) is analyzed by means of perturbation theory. The defect is a combination of a micro-short or micro-resistor with a dissipative micro-inhomogeneity. Threshold (maximum) values of the bias current density admitting capture of a fluxon by a combined defect are calculated for various practically important cases. The dynamics of a fluxon moving through a lattice of dissipative defects is studied. The energy emitted by a fluxon moving past a local defect is calculated. It is demonstrated that the latter effect can be employed to design a Josephson micro-wave generator based upon a LJJ with an installed lattice of dissipative defects. That generator must be more effective than the one proposed earlier by McLaughlin and Scott.
Read full abstract