This thesis presents an analysis of a corrugated conic horn structure with anisotropic dielectric. This dielectric cone is positioned inside the horn and has an optical axis in its longitudinal direction. This horn configuration can be obtained using the structure of corrugated horn and adding an anisotropic dielectric cone. The anisotropy can artificially be obtained by doping the isotropic dielectric or using a perforation technique. This perforation technique is suggested and presented in this Thesis. Expressions for the transverse fields and the propagation constant curves were developed considering this new geometry. It is also presented a comparative study of the degenerated transversal fields with well-known structures. These structures are: hollow cylindrical guide, corrugated cylindrical guide, cylindrical metallic guide with dielectric and corrugated cylindrical guide with dielectric. The expressions to calculate the radiated far fields were obtained for the corrugated cylindrical guide with anisotropic dielectric. In addition, expressions to calculate the radiated far fields for the corrugated cylindrical horn with anisotropic dielectric were developed and presented. These expressions considered horns with small flare angle and used the spherical cap approximation theory. All expressions considered the 3th Ludwig definition for the radiated far field. Far field analyses were conducted for well-known structures. These structures were obtained by degenerating the new configuration presented in this thesis and aimed to validate the theoretical developed theory. The results proved its validity. Finally, a parametric analysis was performed. This analysis considered, for a given structure configuration, the behavior of the radiated far fields and its maximum cross polar levels as a function of the anisotropy and frequency. It was verified that the dielectric anisotropy had very little effect on the half power beam width characteristic. The maximum cross polar level as a function of the frequency was analyzed. For some specific values of permittivity and anisotropy, for the considered configuration, the balanced hybrid condition was reached. In this condition the structure presented very low cross polar values in a large frequency band. This behavior is much more superior to the corrugated horn, dielectric horn and the isotropic dielectric corrugated horn.