We employ two-dimensional magnets to establish a magneto-optical hallmark of skyrmions, which we call the topological Kerr effect, using the recently discovered ferromagnet CrVI6 as a material platform. The Kerr angle hysteresis loop of this non-centrosymmetric system exhibits two antisymmetric bumps that are absent in the centrosymmetric CrI3 and VI3. We develop a minimal model to further identify the bumps as direct manifestations of the topological charge, thereby providing a magneto-optical fingerprint of skyrmions with broader applicability.
Based on the three-dimensional potential flow theory, the multi-domain method is improved from three levels: internal domain, external domain and wave excitation, and different levels of numerical calculation models of ship hydrodynamics are put forward, forming a set of systematic, accurate, stable, efficient and widely applicable methods for studying and analyzing ship motion and its application, which has important research and engineering practical value.