# Simulation of transverse and longitudinal magnetic ripple structures induced by surface anisotropy

Lu, Hua, Bishop, J.E.L. and Tucker, J.W.
(1996)
*Simulation of transverse and longitudinal magnetic ripple structures induced by surface anisotropy.*
Journal of Magnetism and Magnetic Materials, 163 (3).
pp. 285-291.
ISSN 0304-8853
(doi:10.1016/S0304-8853(96)00345-9)

## Abstract

Micromagnetic ripple structures on the surfaces of thick specimens of ultra-soft magnetic material having strong surface anisotropy Ks favouring out-of-surface magnetization have been calculated. These ripples have wavelengths of the order of 0.1 μm and extend to a depth ∼ √A/Ms, where A is the exchange constant and Ms is the saturation magnetization. The wave-vectors of the ripple structures are either transverse or parallel to the bulk magnetization. Both structures have lower energy than the one-dimensional structure discussed by O'Handley and Woods, and they exhibit stronger normal magnetization. The transverse structure requires a surface anisotropy Ks ≥ 0.80K0, where is that required for the one-dimensional structure. The threshold for longitudinal ripples is 0.84K0. It is suggested that the transverse structure probably constitutes the ground state. The magnitudes of Ks and A should be obtainable from measurements of the ripple wavelength and amplitude, and Ms.

Item Type: | Article |
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Additional Information: | [1] Available online: 13 May 1998. [2] Published in print: 1 November 1996. |

Uncontrolled Keywords: | surface anisotropy, computer simulation, micromagnetism, ripple structures |

Subjects: | Q Science > QA Mathematics > QA76 Computer software Q Science > QC Physics |

Pre-2014 Departments: | School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Mechanics & Reliability Group School of Computing & Mathematical Sciences > Department of Mathematical Sciences |

Related URLs: | |

Last Modified: | 14 Oct 2016 09:00 |

URI: | http://gala.gre.ac.uk/id/eprint/300 |

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