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A simple model for calculating magnetic nanowire domain wall fringing fields

West, A.D.; Hayward, T.J.; Weatherill, K.J.; Schrefl, T.; Allwood, D.A.; Hughes, I.G.

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A.D. West

T.J. Hayward

T. Schrefl

D.A. Allwood


We present a new approach to calculating magnetic fringing fields from head-to-head type domain walls (DWs) 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. We begin with an intuitive picture of DWs, which is built upon in a phenomenological manner. The resulting models require no a priori knowledge of the magnetization structure, and facilitate calculation of fringing fields without any free parameters. Comparisons with fields calculated using micromagnetic methods show good quantitative agreement. We demonstrate that parameters key to atomic physics applications can easily be calculated with errors of around 10%. The model we present has greatest accuracy and hence utility for distances roughly greater than the width of the DW under consideration.


West, A., Hayward, T., Weatherill, K., Schrefl, T., Allwood, D., & Hughes, I. (2012). A simple model for calculating magnetic nanowire domain wall fringing fields. Journal of Physics D: Applied Physics, 45(9), Article 095002.

Journal Article Type Article
Publication Date Mar 7, 2012
Deposit Date Feb 22, 2012
Publicly Available Date Feb 24, 2012
Journal Journal of Physics D: Applied Physics
Print ISSN 0022-3727
Electronic ISSN 1361-6463
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 45
Issue 9
Article Number 095002


Accepted Journal Article (1.8 Mb)

Copyright Statement
© 2012 IOP Publishing Ltd. This is an author-created, un-copyedited version of an article accepted for publication in Journal of Physics D: Applied Physics. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at

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