2024/11/12 by Fangzhou Ai, Zhuonan Lin, Ai, Fangzhou +5
Computer Science · Engineering · Materials Science · #Advanced Mathematical Modeling in Engineering #Applied Physics (physics.app-ph) #FOS: Physical sciences #Magnetic Properties and Applications #Material Science and Thermodynamics #Materials Science (cond-mat.mtrl-sci)
paper · pdf · doi:10.48550/arxiv.2411.07629
openalex publication_date 2024/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This work introduces an approach to compute periodic phase diagram of micromagnetic systems by solving a periodic linearized Landau-Lifshitz-Gilbert (LLG) equation using an eigenvalue solver with the Finite Element Method formalism. The linear operator in the eigenvalue problem is defined as a function of the periodic phase shift wave vector. The dispersion diagrams are obtained by solving the eigenvalue problem for complex eigen frequencies and corresponding eigen states for a range of prescribed wave vectors. The presented approach incorporates a calculation of the periodic effective field, including the exchange and magnetostatic field components. The approach is general in that it allows handling 3D problems with any 1D, 2D, and 3D periodicities. The ability to calculated periodic diagrams provides insights into the spin wave propagation and localized resonances in complex micromagnetic structures.