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The effect of tilted edges on the shape anisotropy and stray field coupling of uniformly magnetized rectangular elements
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10.1063/1.3169781
/content/aip/journal/jap/106/4/10.1063/1.3169781
http://aip.metastore.ingenta.com/content/aip/journal/jap/106/4/10.1063/1.3169781
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Sketch of a magnetic element with tilted edges.

Image of FIG. 2.
FIG. 2.

Sketch of the edge of a magnetic element. The tilted edge is defined by the inclination angle or the edge broadening . The shape of the element is approximated by slices of thin cuboids with decreasing base area.

Image of FIG. 3.
FIG. 3.

Comparison of different stray field energies for a magnetic element magnetized along its long axis as a function of the number of slices used for the method of Rhodes and Rowlands. The stray field energies were calculated by solving the Poisson equation with the method of Rhodes and Rowlands and by straightforward integration taking into account the tapered shape of the element. The edge broadening is varied. Nominal dimensions of the element: .

Image of FIG. 4.
FIG. 4.

Shape anisotropy of magnetic elements with tilted edges as a function of the inclination angle broadening in units of the anisotropy of the corresponding perfect magnetic element, respectively .

Image of FIG. 5.
FIG. 5.

Shape anisotropy of a magnetic element with tilted edges as a function of the short axis length in units of the shape anisotropy of a perfect magnetic element. The edge broadening is varied while the aspect ratio and the height are fixed.

Image of FIG. 6.
FIG. 6.

Configurations of two elements either in-line (a) or parallel to their long axes (b) with different magnetization orientations.

Image of FIG. 7.
FIG. 7.

Anisotropy of a system of two element system in-line. The anisotropy is given as a function of the distance for different edge broadenings as indicated in the figure and normalized by the values for a perfect single element. The horizontal lines mark the single element anisotropies of given edge broadening. (, , and )

Image of FIG. 8.
FIG. 8.

Anisotropy of a system of two perfect elements arranged parallel to their long axes as a function of their distance in units of the anisotropy of a perfect element with the same dimensions. The aspect ratio is taken as parameter by varying and constant . The height of the elements is 25 nm.

Image of FIG. 9.
FIG. 9.

The distance of the two element system at which the easy axis is degenerate. The switching is plotted as a function of the aspect ratio of the single element for different edge broadenings. The parameters and are fixed.

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/content/aip/journal/jap/106/4/10.1063/1.3169781
2009-08-27
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: The effect of tilted edges on the shape anisotropy and stray field coupling of uniformly magnetized rectangular elements
http://aip.metastore.ingenta.com/content/aip/journal/jap/106/4/10.1063/1.3169781
10.1063/1.3169781
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