The invention relates to the chemical bonding of a polymer or polymers onto a non-metallic substrate such as cellophane by contacting the substrate with a silver nitrate solution followed by treatment with an alkali hydroxide such as sodium hydroxide or potassium hydroxide, whereby particles of silver or silver oxide are uniformly distributed in situ throughout the surface of the substrate, contacting the thus treated substrate with a grafting solution that contains monomers, prepolymers, catalysts and possibly other ingredients, to obtain graft polymerization onto the substrate with intimate bonding of the polymer onto the substrate surface, and curing the polymer on the substrate by microwave or laser energy.