  We explore the problem of scattering in a medium modulated by a superluminal
rectangular pulse, with the pulse modulation realized through transverse
excitations. We solve this problem in the moving frame where the modulation
appears purely temporal, since the solution to a purely temporal modulation is
known. Upon this basis, we use a graphical approach to find the angle and
frequency of the wave scattered by the modulation under oblique incidence. This
study reveals that superluminal modulations deflect plane waves
retro-directively, and refocus cylindrical waves to a shifted point of space
with respect to the original source.
