The transmission and reflection of a spin wave at an internal boundary created by the local variation of anisotropy (or a bias magnetic field) are studied taking into account not only the changes in the wave amplitude, but also the changes in the wave polarization. It is shown, that the account of the changes in the spin wave polarization before and after the boundary leads to: (i) increase of the spin wave amplitude reflection coefficient, (ii) appearance of an additional phase shift $\Delta \varphi \ne 0,\pi$ in both transmitted and reflected waves, and (iii) creation of additional evanescent waves in the vicinity of the boundary. It is also shown, that even when significant changes in the transmitted wave polarization take place at the boundary, a spin wave could pass a finite-width boundary without reflection, if a certain resonance condition is satisfied. The effect of the polarization change at an internal boundary is especially pronounced for the exchange-dominated spin waves, while in the case of the dipole-dominated spin waves this effect can vanish completely for certain configurations of the static magnetization.

中文翻译：

---

通过内部边界的自旋波传输：超越标量逼近

研究了自旋波在由各向异性（或偏置磁场）的局部变化产生的内部边界处的传输和反射，不仅考虑了波幅的变化，还考虑了波的极化的变化。结果表明，考虑边界之前和之后自旋波极化的变化会导致：（i）自旋波振幅反射系数增加，（ii）出现额外的相移$\Delta \varphi \ne 0，\pi$在透射波和反射波中，以及（iii）在边界附近产生附加的van逝波。还显示出，即使在边界处发生了透射波极化的显着变化，如果满足一定的共振条件，自旋波也可以通过有限宽度的边界而没有反射。对于交换为主的自旋波，在内部边界处的极化变化的影响尤其明显，而在偶极子为主的自旋波的情况下，这种影响对于静态磁化的某些配置可以完全消失。