A new way of solving Maxwell´s equations

A general solution of Maxwell´s equations for a single frequency can be expressed as the combination of two types of solution, each of which is characterized by an electric vector which is equal to the magnetic vector times the intrinsic impedance of free space but a quarter cycle out of phase. These two types are mathematically orthogonal, and each can be conveniently expressed by means of a single scalar. The method leads to circularly polarized surface waves propagating along anisotropic sheets which are perfectly conducting in one tangential direction and perfectly transparent in the orthogonal tangential direction.