Fluxon collisions have recently been successfully imaged by a focused
electron beam [A. Laub et nl., Phys. Rev. Lett. 75, 1372 (1995)]. This
report presents numerical and analytical calculations of the effect o
f a beam-induced dissipative spot on a fluxon-fluxon collision in alon
g Josephson junction. In contrast to the fluxon-antifluxon collision,
the energy loss for the colliding fluxons of the same polarity is mini
mal at the collision point. Good accord between analytical and numeric
al results is found. Presented calculations are relevant for interpret
ation of the low temperature scanning electron microscopy experiments
on fluxon imaging in long Josephson junctions.