  Colliding or noncolliding plane fronted electromagnetic or gravitational
waves are the asymptotic limit of Robinson--Trautman spherical electromagnetic
or gravitational waves. Noncolliding plane fronted waves contain no information
about their sources whereas colliding waves contain information about possibly
the motion of their sources. As a first step to investigate the latter
phenomenon we construct an asymptotic limit of Li\'enard--Wiechert
electromagnetic fields in the context of Minkowskian space--time. This has the
advantage that the source is well known and the calculations can be carried out
in full detail. The final result is an algebraically general Maxwell field
which consists of colliding plane fronted waves in a subregion of Minkowskian
space--time and an interesting byproduct is a novel perspective on a Maxwell
field originally discovered by Bateman.
