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Role of boundaries in micromagnetic calculations of magnonic spectra of arrays of magnetic nanoelements

Role of boundaries in micromagnetic calculations of magnonic spectra of arrays of magnetic nanoelements
Role of boundaries in micromagnetic calculations of magnonic spectra of arrays of magnetic nanoelements
We have used micromagnetic simulations performed with open and periodic boundary conditions to study the influence of the presence of array boundaries on the spectra and spatial profiles of collective spin wave excitations in arrays of magnetic nanoelements. The spectra and spatial profiles of collective spin waves excited in isolated arrays of nanoelements and those forming a part of quasi-infinite arrays are qualitatively different even if the same excitation field is used in the simulations. In particular, the use of periodic boundary conditions suppresses the excitation of non-uniform collective modes by uniform excitation fields. However, the use of non-uniform excitation fields in combination with periodic boundary conditions is shown to enable investigation of the structure of magnonic dispersion curves for quasi-infinite arrays (magnonic crystals) in different directions in the reciprocal space and for different magnonic bands. The results obtained in the latter case show a perfect agreement with those obtained with the dynamical matrix method for infinite arrays of nanoelements of the same geometry and magnetic properties.
1550-235X
1-11
Dmytriiev, O.
d21ec0f9-b61a-487c-8aac-dbbf06c8350b
Kruglyak, V.
82683822-5003-4626-9f91-892bc8ba7c7a
Franchin, Matteo
9e00aaa2-959e-420f-854c-3b43aece85e3
Fangohr, H.
9b7cfab9-d5dc-45dc-947c-2eba5c81a160
Giovannini, L
01c15d95-b848-482e-8916-9afee962f11e
Montoncello, F
793216a5-f9bb-4bc3-8842-b2750994a1c6
Dmytriiev, O.
d21ec0f9-b61a-487c-8aac-dbbf06c8350b
Kruglyak, V.
82683822-5003-4626-9f91-892bc8ba7c7a
Franchin, Matteo
9e00aaa2-959e-420f-854c-3b43aece85e3
Fangohr, H.
9b7cfab9-d5dc-45dc-947c-2eba5c81a160
Giovannini, L
01c15d95-b848-482e-8916-9afee962f11e
Montoncello, F
793216a5-f9bb-4bc3-8842-b2750994a1c6

Dmytriiev, O., Kruglyak, V., Franchin, Matteo, Fangohr, H., Giovannini, L and Montoncello, F (2013) Role of boundaries in micromagnetic calculations of magnonic spectra of arrays of magnetic nanoelements. Physical Review B, 87 (17), 1-11. (doi:10.1103/PhysRevB.87.174422).

Record type: Article

Abstract

We have used micromagnetic simulations performed with open and periodic boundary conditions to study the influence of the presence of array boundaries on the spectra and spatial profiles of collective spin wave excitations in arrays of magnetic nanoelements. The spectra and spatial profiles of collective spin waves excited in isolated arrays of nanoelements and those forming a part of quasi-infinite arrays are qualitatively different even if the same excitation field is used in the simulations. In particular, the use of periodic boundary conditions suppresses the excitation of non-uniform collective modes by uniform excitation fields. However, the use of non-uniform excitation fields in combination with periodic boundary conditions is shown to enable investigation of the structure of magnonic dispersion curves for quasi-infinite arrays (magnonic crystals) in different directions in the reciprocal space and for different magnonic bands. The results obtained in the latter case show a perfect agreement with those obtained with the dynamical matrix method for infinite arrays of nanoelements of the same geometry and magnetic properties.

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Published date: 20 May 2013
Organisations: Computational Engineering & Design Group

Identifiers

Local EPrints ID: 360915
URI: http://eprints.soton.ac.uk/id/eprint/360915
ISSN: 1550-235X
PURE UUID: 3057d567-3022-4970-94ea-a69e8801ad79
ORCID for H. Fangohr: ORCID iD orcid.org/0000-0001-5494-7193

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Date deposited: 08 Jan 2014 12:52
Last modified: 15 Mar 2024 03:03

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Contributors

Author: O. Dmytriiev
Author: V. Kruglyak
Author: Matteo Franchin
Author: H. Fangohr ORCID iD
Author: L Giovannini
Author: F Montoncello

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