  A new representation for solutions of Maxwell's equations is derived. Instead
of being expanded in plane waves, the solutions are given as linear
superpositions of spherical wavelets dynamically adapted to the Maxwell field
and well-localized in space at the initial time. The wavelet representation of
a solution is analogous to its Fourier representation, but has the advantage of
being local. It is closely related to the relativistic coherent-state
representations for the Klein-Gordon and Dirac fields developed in earlier
work.
