A simple model for calculating magnetic nanowire domain wall fringing fields

TL;DR

This paper introduces an analytical model for calculating magnetic fringing fields from domain walls in nanowires, offering a faster alternative to micromagnetic simulations with good accuracy.

Contribution

The paper presents a largely analytical approach to compute domain wall fringing fields, reducing computational resources compared to micromagnetic simulations.

Findings

Analytical model shows good agreement with micromagnetic calculations.

Model significantly reduces computation time and resources.

Provides an intuitive and phenomenological understanding of domain wall fields.

Abstract

We present a new approach to calculating magnetic fringing fields from head-to-head type domain walls in planar magnetic nanowires. In contrast to calculations based on micromagnetically simulated structures the descriptions of the fields are for the most part analytic and thus significantly less time and resource intensive. The models presented begin with an intuitive picture of domain walls, which is built upon in a phenomenological manner. Comparisons with fields calculated using micromagnetic methods show good quantitative agreement.