We discuss exact solutions of Maxwell's equations that describe the ev
olution of single-cycle electromagnetic pulses. The solutions are appl
ied to recent observations of the diffraction transformation of terahe
rtz pulses. In particular, we elucidate the role of the Gouy shift in
the temporal reshaping and polarity reversals of single-cycle terahert
z pulses. (C) 1998 Optical Society of America.