A dyadic differential operator that commutes with the curl dynamic can be u
sed to obtain new solutions of the Faraday and the Ampere-Maxwell equations
in linear, homogeneous chiral media. Conditional extension of this represe
ntation theorem to bianisotropic media is also possible. An admissible oper
ator may involve fractional derivatives. (C) 2001 John Wiley B Sons, Inc.