Look into a mirror. There is a reflection. This is due to opposite currents, induced into the metal, that re-reflect the EM field right back at you. Well, however small a time these currents exist in the metal, most stick near the surface, yet the finite Er (permittivity) of the metal requires maxwellian-wise to drop off with an exponentially decaying field strength. Find a perfect metal based mirror, then we will talk., Solitons for all dude!