The lensing properties of superconducting cosmic strings endowed with
a time dependent pulse of lightlike current are investigated. The metr
ic outside the core of the string belongs to the pp-wave class, with a
deficit angle. We study the field theoretic bosonic Witten model coup
led to gravity, and we show that the full metric (both outside and ins
ide the core) is a Taub-Kerr-Shild generalization of that for the stat
ic string with no current. It is shown that the double image due to th
e deficit angle evolves in an unambiguous way as a pulse of lightlike
current passes between the source and the observer. Observational cons
equences of this signature of the existence of cosmic strings are brie
fly discussed.