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Interval methods for FMR spectra simulation

Mathematical Physics 2007-05-23 v1 math.MP Numerical Analysis

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.

Keywords

Cite

@article{arxiv.math-ph/0208029,
  title  = {Interval methods for FMR spectra simulation},
  author = {Marek W. Gutowski},
  journal= {arXiv preprint arXiv:math-ph/0208029},
  year   = {2007}
}

Comments

Slides for 10 min. presentation on NATO Advanced Research Workshop "Low Temperature Quantum Effects; Dynamic Interactions in Technical Applications", M\c{a}dralin (Poland), August 29th - September 1st, 2002. 11 slides + 12 figures, LaTeX2e