Browsing by Autor "Choque Elias"

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    A Simple Solution for an Electromagnetic Wave in a Third-Order Nonlinear Anisotropic Medium
    (2024) Choque Elias; Aritz Leonardo
    This 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.
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    Analytical Framework for Tunable Spectral Permittivity in Polar Media under DC Bias
    (2025) Aritz Leonardo; Choque Elias; Flores Susan; Calcina Marcelo
    A theoretical model is presented to describe the nonlinear dielectric response of a polar medium simultaneously subjected to a DC bias field and a harmonic AC excitation. Starting from a second-order anharmonic differential equation, the Homotopy Analysis Method (HAM) is applied to obtain closed-form analytical solutions for both transient and steady-state behavior up to the sixth order in the homotopy series. The results reveal the generation of $2 \omega$ and $3 \omega$ harmonics, temporal modulation of the induced polarization, and a quadratic tuning of the effective permittivity with the DC field. The work combines a complete analytical formulation of HAM, numerical validation, and a detailed physical analysis of the steady-state regime, emphasizing spectral dispersion, stability, and total harmonic distortion.