Dipole‐Exchange Spin Waves in Ferromagnetic Films
Dipole‐Exchange Spin Waves in Ferromagnetic Films
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DOI：
10.1063/1.1659049
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发表时间：
1970-03
影响因子：
3.2
通讯作者：
R. E. Wames;T. Wolfram
中科院分区：
文献类型：
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作者：
R. E. Wames;T. Wolfram
在偶极子场和交换场都很重要的情况下，交换对铁磁薄膜的静磁表面和体自旋波的影响是由六阶微分方程的解确定的。本征态是体波和表面波的混合物。当施加平行于薄膜表面的磁场并且对于平行于表面 k 的波矢量的小值时，Damon 和 Eshbach 表面状态被分成连接相邻体分支的片段。随着 k 与施加场之间的角度增加，表面分支不会发生急剧截止，而是分支的特性从表面状连续变化为块状。对于 | 的值k |≳104 许多分支具有显着的表面特征，因此没有单个分支可以用 Damon-Eshbach 表面状态来识别。当施加的场垂直于表面时，体流形下方会出现一种新型表面自旋波，其特征是...
The effects of exchange on the magnetostatic surface and bulk spin waves of a ferromagnetic film in the regime where the dipole and exchange fields are both important are determined from the solutions of a sixth‐order differential equation. The eigenstates are admixtures of bulk and surface waves. With an applied magnetic field parallel to the film surface and for small values of the wave vector parallel to the surface, k, the Damon and Eshbach surface state is split into segments which join adjacent bulk branches. No sharp cutoff of the surface branch occurs as the angle between k and the applied field is increased, instead the character of the branch changes continuously from surface‐like to bulk‐like. For values of | k |≳104 a number of branches have significant surface character so that no single branch can be identified with the Damon‐Eshbach surface state. When the applied field is perpendicular to the surface a new type of surface spin wave occurs below the bulk manifold and is characterized by a c...