Fig. 7
From: Impact of layer count and thickness on spin wave modes in multilayer synthetic antiferromagnets

(a) equilibrium in-plane angle \(\varphi\) as a function of the external field, which is applied along the z axis. The angle \(\varphi\) is measured from the z axis, so that \(\varphi =-90^{\circ }\) (\(\varphi =90^{\circ }\)) means that the magnetization is oriented along the \(-x\) (x) axis. Points P\(_1\) (\(\mu _0H_\textrm{ext}= 5\) mT), P\(_2\) (\(\mu _0H_\textrm{ext}= 40\) mT), P\(_3\) (\(\mu _0H_\textrm{ext}= 90\) mT), and P\(_4\) (\(\mu _0H_\textrm{ext}= 100\) mT) denote the equilibrium states used in the calculations of the dispersions illustrated in (b–e), respectively. The backward volume mode is highlighted in (e) with a thick dashed line.