ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Lobanov N. D., Matveev O. V., Morozova M. A. Influence of nonlinearity on the Bragg resonances in coupled magnon crystals. Izvestiya VUZ. Applied Nonlinear Dynamics, 2024, vol. 32, iss. 1, pp. 111-120. DOI: 10.18500/0869-6632-003081, EDN: ULYAJE

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Language: 
Russian
Heading: 
Nonlinear Waves. Solitons. Autowaves. Self-Organization.
Article type: 
Article
UDC: 
537.87
DOI: 
10.18500/0869-6632-003081
EDN: 
ULYAJE

Influence of nonlinearity on the Bragg resonances in coupled magnon crystals

Autors: 
Lobanov Nikita Dmitrievich, Saratov State University
Matveev Oleg Valerevich, Saratov State University
Morozova Maria Aleksandrovna, Saratov State University
Abstract: 

Purpose. The purpose of this paper is to investigate the effect of nonlinearity on formation mechanism and characteristics of Bragg resonances in vertically coupled magnon crystals with periodic groove system on the surface. In this paper a wave model is constructed, a nonlinear dispersion relation for surface magnetostatic waves in such a structure is obtained and the characteristics of each of the Bragg resonances are numerically studied with increasing input signal power.

Methods. Theoretical methods of investigation of spin-wave excitations in a wide class of structures with ferromagnetic layers have been used. In particular, the following theoretical models have been used: coupled wave method, long-wave approximation.

Results. This paper presents the results of a theoretical investigation of the effect of magnetic nonlinearity on Bragg resonances in a sandwich structure based on magnon crystals with periodic grooves on the surface separated by a dielectric layer. A mechanism for the formation of band gaps at the Bragg resonance frequencies in the presence of media nonlinearity has been revealed. It is shown that with increasing input power the frequency interval between the band gaps decreases. With increasing magnetization difference of magnon crystals, the effect of nonlinear convergence is more pronounced.

Conclusion. The identified features extend the capabilities of sandwich structures based on magnon crystals for frequency selective signal processing by controlling the frequency selectivity, both via static coupling parameters, periodicity and layer magnetisation, and dynamically via the input signal power.

Key words: 
ferromagnetic film
magnetostatic wave
magnon crystal
Bragg resonance
band gap
Acknowledgments: 
This work was supported by Russian Science Foundation (grant № 23-29-00759)
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Received: 
23.06.2023
Accepted: 
22.09.2023
Available online: 
20.12.2023
Published: 
31.01.2024
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