We discuss two double-resonance scenarios within the context of laser-
assisted electron-atom scattering in which double poles of the S matri
x occur. When the energy of the incident electron is chosen to coincid
e with an autoionizing resonance and the frequency of the laser field
resonantly couples this autoionizing state to a quasibound state (i.e.
, a state that is bound in the absence of the laser) or another autoio
nizing resonance, double poles occur in the S matrix for particular la
ser frequencies and intensities. We demonstrate the effect of the doub
le poles on the resonant contribution to the cross section as well as
on the time delay matrix. [S1050-2947(98)02101-5].