M.V. Dzhaparidze1, L.Y. Fetisov2, F.A. Fedulov3

1–3 MIREA – Russian Technological University (Moscow, Russia)
1 m.v.dzhaparidze@mail.ru, 2 fetisovl@yandex.ru, 3 ostsilograf@ya.ru

The purpose of this work was to make computer calculations of the field dependences of individual harmonics of the nonlinear magnetoelectric (ME) effect in composite magnetostrictor/piezoelectric/magnetostrictor structures enable. Nowadays, a large number of ME models of composites have been created in various software environments, however, they made it possible to obtain either distributions of various physical quantities over the volume of the composite, or to obtain approximate dependences of ME on a constant magnetic field (in the absence of an alternating one). In this paper, we propose a new algorithm for calculating the magnetoelectric effect in the COMSOL Multiphysics 6.0 software package, which allows us to take into account the appearance of nonlinear harmonics in the ME voltage spectrum when both direct and alternating fields are applied to the sample. The method was based on the combination of a linear composition of solutions to differential equations obtained at different points in time, describing the magnetoelectric effect. For instance, the amplitude of the first harmonic was calculated by adding half the difference between the ME voltage at time 0 and time 1/(2f), and half the difference between the ME voltage at 1/(8f) and 3/(8f), divided by 20.5, and then dividing the result buy two. The amplitude of the second harmonic was calculated by subtracting a quarter of the difference between the ME voltage values at time 0 and time 1/(2f) from the value of the ME voltage at time 1/(4f). The amplitude of the third harmonic was found by taking a third of the difference between half the difference in the ME voltage between times 0 and 1/2f, and the difference in ME voltages at times 1/6f and 1/3f. The advantage of this method is that it allows us to isolate individual components of different harmonics from the overall spectrum of the magnetoelectric voltage. We used this method to calculate the field and amplitude dependence of the first three harmonics in a three-layer composite structure made from a piezoelectric langatate single crystal and amorphous metal glass alloy layers. It has been shown that the dependencies obtained using the method described in this paper fit the experimental data quite well. Therefore, this calculation method is suitable for modeling promising magnetoelectric (ME) systems and can be widely used in the future. This is because it allows us to predict the behavior of various ME composites without the need for measurements, which could be useful in the search for new and more promising ME composites.

Dzhaparidze M.V., Fetisov L.Y., Fedulov F.A. Modeling of individual harmonics of the magnetoelectric effect in the COMSOL Multiphysics software package. Nanotechnology: development and applications – XXI century. 2025. V. 17. № 4. P. 15–27. DOI: https://doi.org/10.18127/ j22250980-202504-02 (in Russian)

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