Interval methods for FMR spectra simulation

TL;DR

This paper advocates for using interval methods in physics and materials science, demonstrating their effectiveness through ferromagnetic resonance spectra simulation that guarantees all resonance fields and reveals complex spectral forms.

Contribution

It introduces the application of interval methods to FMR spectra simulation, providing guaranteed resonance field values for arbitrary orientations, enhancing accuracy and comprehensiveness.

Findings

Simulated spectra exhibit rich, complex forms.

Interval methods guarantee no missed resonance fields.

Results align well with experimental data.

Abstract

The aim of this presentation is to promote the use of interval methods in the so called 'hard science', like physics or materials science. The example problem, simulation of ferromagnetic resonance spectra in amorphous wire, serves as an evidence of their power, even in their simplest, easy to understand, forms. The spectra, simulated for realistic values of anisotropy constants, show amazingly rich variety of their forms, probably never suspected by experimentalists. The method delivers guaranteed values of resonance fields for any orientation of the sample in the external magnetic field, not just for specific, 'highly symmetric', analytical cases; no resonance field is ever missed. The experimental data, to be published elsewhere, are in excellent concordance with numerical findings.