—Geometrical analysis of basic equations of electromagnetics
waves propagation in anisotropic dielectric materials with magnetic
isotropy are presented in two complementary papers (Part I and
Part II). In this paper, analysis arises from local properties of dielectric
permittivity tensor and M¨ohr’s plane graphical construction compatible
with circumferences that represent general plane wave equation.
This theoretical study allows to know how rays propagate in
left-handed metamaterials (LHMs) exhibiting dielectric anisotropy and
magnetic isotropy.
Geometrical analysis yields plane graphical procedures for ray
tracing, that are extremely easy. In particular, indefinite dielectric
media, where dielectric permittivities are not all the same sign, has
been investigated and a joint study of materials having the same
eigenvalues of ˜ε, but with opposite values of µr is performed. The
opposite sense of propagation of rays in “opposite media” (media
with opposite values of εi and µr) has been also shown. It must be
pointed out that the presented method always allows graphical plane
constructions, even when dealing with biaxial media
