Proposal of a micromagnetic standard problem for ferromagnetic resonance simulations

TL;DR

This paper introduces a standardized micromagnetic problem for ferromagnetic resonance simulations, providing detailed specifications, analysis, and code to evaluate and compare different simulation tools effectively.

Contribution

It presents a new standard problem with detailed setup and analysis to benchmark micromagnetic simulation tools for ferromagnetic resonance studies.

Findings

Finite difference and finite element methods produce consistent resonance spectra.

Initial conditions and parameters significantly influence resonance modes.

The provided code facilitates validation and comparison of simulation tools.

Abstract

Nowadays, micromagnetic simulations are a common tool for studying a wide range of different magnetic phenomena, including the ferromagnetic resonance. A technique for evaluating reliability and validity of different micromagnetic simulation tools is the simulation of proposed standard problems. We propose a new standard problem by providing a detailed specification and analysis of a sufficiently simple problem. By analyzing the magnetization dynamics in a thin permalloy square sample, triggered by a well defined excitation, we obtain the ferromagnetic resonance spectrum and identify the resonance modes via Fourier transform. Simulations are performed using both finite difference and finite element numerical methods, with \textsf{OOMMF} and \textsf{Nmag} simulators, respectively. We report the effects of initial conditions and simulation parameters on the character of the observed resonance modes for this standard problem. We provide detailed instructions and code to assist in using the results for evaluation of new simulator tools, and to help with numerical calculation of ferromagnetic resonance spectra and modes in general.