An eigen theory of electromagnetic waves based on the standard spaces

The Maxwell’s equations are studied here based on the standard spaces of the physical presentation, and the modal electromagnetic wave equations of anisotropic media are deduced. Several novel theoretical results were obtained: the number of electromagnetic waves in anisotropic media is equal to that of eigen-spaces of anisotropic media; the velocity of propagation of electromagnetic waves is dependent on the dielectric eigen-permittivity and magnetic eigen-permeability; the direction of propagation of electromagnetic waves is related on the electromagnetic eigen–operator in the corresponding eigen-space; the direction of polarization of electromagnetic waves is relevant to the eigen-electromagnetic quantities in the corresponding eigen-space. Based on these laws, we discuss the propagation behaviour of electromagnetic wave in anisotropic media.