This paper presents some general ideas for the conin dielectric anisotropic waveguides. The goal is to facilitate the development of different finite schemes through the extension of &he time-domain (FDTD) method to study anisotropic media. Some of these schemes are particularized and applied to the simulation of the propagation of electromagnetic waves through planar dielectric anisotropic waveguides. the use of symbolic programs such as Mathematica. Section section v particularizes the results of Section 111 for two of planar anisotropic waveguides in birefringent media: one With the Optical axis rotated in the Plane of the Slab and the other in a plane perpendicular to the plane of the slab. Finally, in Section VI the described methods are tested. struction Of explicit finite algorithms to study wave propagation IV gives the basic ideas concerning dispersion and stability.
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