On the Statics of Transverse Domain Walls in Ferromagnetic Nanostrips

In this article, we investigate the static properties of the transverse domain wall in ferromagnetic nanostrip under the influence of a uniform transverse magnetic field. We perform the analysis under the framework of the Landau–Lifshitz–Gilbert equation, which describes the evolution of magnetization inside the ferromagnetic medium. More precisely, first, we establish the magnetization profile in the two faraway domains and then examine the static magnetization profile in the sole presence of the applied transverse magnetic field, both analytically and numerically. The obtained analytical results are in qualitatively good agreement with recent numerical simulations and experimental observations.