In this letter, we use magnetooptical Kerr effect magnetometry on extended samples to measure local hysteresis curves as a function of an externally applied field in a magnetostriction-free amorphous ribbon and an elliptical Permalloy film element. Although these materials are magnetically soft and have almost zero coercive field, we find that the local hysteresis curves have a highly nonlinear hysteretic character, displaying both counterclockwise and clockwise rotation senses when cycling the loops. This unexpected result can be explained by looking at the total hysteresis curve of the materials as a superposition of local curves and can be described mathematically using the formalism of the Preisach model. Within the framework of this model, we derive the conditions under which a superposition of clockwise and counterclockwise hysteresis loops can lead to a hysteresis-less system, and devise a technique to map the hysterons that define the first-order reversal-curve distribution to physical regions in the specimens.

中文翻译：

---

倒磁滞、磁畴和迟滞

在这封信中，我们在扩展样品上使用磁光克尔效应磁力计来测量局部磁滞曲线，作为无磁致伸缩非晶带和椭圆坡莫合金薄膜元件中外部施加场的函数。尽管这些材料是软磁且矫顽场几乎为零，但我们发现局部磁滞曲线具有高度非线性的磁滞特性，在循环循环时显示出逆时针和顺时针旋转感。这种意想不到的结果可以通过将材料的总滞后曲线视为局部曲线的叠加来解释，并且可以使用 Preisach 模型的形式进行数学描述。在这个模型的框架内，