  We present a study of the worldsheets that describe the classical limit of
various string scattering processes. Our main focus is on string scattering in
AdS spacetime because of its relation via the AdS/CFT correspondence to gluon
scattering in {\cal N}=4 supersymmetric Yang-Mills theory. But we also consider
analogous processes in flat Minkowski spacetime which we compare to the AdS
case. In addition to scattering of string by string we also find and study
worldsheets describing the scattering of a string by external sources.
