Choque EliasAritz Leonardo2026-03-222026-03-22202410.1109/etcm63562.2024.10746081https://doi.org/10.1109/etcm63562.2024.10746081https://andeanlibrary.org/handle/123456789/53532Citaciones: 1This work examines how a transverse magnetic mode electromagnetic wave propagates in a medium with thirdorder nonlinear and anisotropic electric permittivity. The proposed model is solved using the homotopy analysis method. Two cases are considered: the first analyzes a wave traveling through an infinite medium, and the results show a transverse rotation of the electric field, indicating that the material induces a change in longitudinal polarization. In the second case, the wave passes through a waveguide with metallic boundaries. The eigenvalues were determined and compared with those of a linear and isotropic material. The results show that nonlinearity and anisotropy eliminate the first eigenvalues, while, for large eigenvalues, both materials exhibit the same values.enSimple (philosophy)Nonlinear systemElectromagnetic radiationAnisotropyNonlinear mediumComputational electromagneticsPhysicsComputer scienceElectromagnetic fieldNonlinear opticsarticle