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We demonstrate how plane fronted waves with colliding wave fronts are theasymptotic limit of spherical electromagnetic and gravitational waves. In thecase of the electromagnetic waves we utilize Bateman's representation ofradiative solutions of Maxwell's vacuum field equations. The gravitational caseinvolves a novel form of the radiative Robinson--Trautman solutions ofEinstein's vacuum field equations.

Plane Fronted Limit of Spherical Electromagnetic and Gravitational Waves