We present efficient numerical methods for the simulation of small magnetization oscillations in three-dimensional micromagnetic systems. Magnetization dynamics is described by the Landau–Lifshitz–Gilbert equation, linearized in the frequency domain around a generic equilibrium configuration, and formulated in a special operator form that allows leveraging large-scale techniques commonly used to evaluate the effective field in time-domain micromagnetic simulations. By using this formulation, we derive numerical algorithms to compute the free magnetization oscillations (i.e., spin wave eigenmodes) as well as magnetization oscillations driven by ac radio-frequency fields for arbitrarily shaped nanomagnets. Moreover, semi-analytical perturbation techniques based on the computation of a reduced set of eigenmodes are provided for fast evaluation of magnetization frequency response and absorption spectra as a function of damping and ac field. We present both finite-difference and finite-element implementations and demonstrate their effectiveness on a test case. These techniques open the possibility to study generic magnonic systems discretized with several hundred thousands (or even millions) of computational cells in a reasonably short time.
Skip Nav Destination
Micromagnetic frequency-domain simulation methods for magnonic systems
Article navigation
21 January 2023
Research Article|
January 17 2023
Micromagnetic frequency-domain simulation methods for magnonic systems
Special Collection:
Recent Advances in Magnonics
Massimiliano d’Aquino
;
Massimiliano d’Aquino
a)
(Investigation, Methodology, Software, Validation, Visualization, Writing – original draft)
1
Department of Electrical Engineering and ICT, University of Naples Federico II
, I-80125 Naples, Italy
Search for other works by this author on:
Riccardo Hertel
Riccardo Hertel
b)
(Investigation, Methodology, Software, Validation, Visualization, Writing – original draft)
2
Université de Strasbourg, CNRS, Institut de Physique et Chimie des Matériaux de Strasbourg
, F-67000 Strasbourg, France
b)Author to whom correspondence should be addressed: [email protected]
Search for other works by this author on:
a)
Electronic mail: [email protected]
b)Author to whom correspondence should be addressed: [email protected]
Note: This paper is part of the Special Topic on Recent Advances in Magnonics.
J. Appl. Phys. 133, 033902 (2023)
Article history
Received:
October 25 2022
Accepted:
December 16 2022
Citation
Massimiliano d’Aquino, Riccardo Hertel; Micromagnetic frequency-domain simulation methods for magnonic systems. J. Appl. Phys. 21 January 2023; 133 (3): 033902. https://doi.org/10.1063/5.0131922
Download citation file:
Pay-Per-View Access
$40.00
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Citing articles via
A step-by-step guide to perform x-ray photoelectron spectroscopy
Grzegorz Greczynski, Lars Hultman
Piezoelectric thin films and their applications in MEMS: A review
Jinpeng Liu, Hua Tan, et al.
Tutorial: Simulating modern magnetic material systems in mumax3
Jonas J. Joos, Pedram Bassirian, et al.
Related Content
A frequency-domain micromagnetic simulation module based on COMSOL Multiphysics
AIP Advances (May 2023)
High-frequency modes in a magnetic buckyball nanoarchitecture
APL Mater. (August 2022)
A comparative study of finite element schemes for micromagnetic mechanically coupled simulations
J. Appl. Phys. (November 2022)
High frequency susceptibility of closure domain structures calculated using micromagnetic modeling
J. Appl. Phys. (April 2006)
Multiscale micromagnetic simulation of giant magnetoresistance read heads
J. Appl. Phys. (April 2006)