The extended magneto optic method to explore the Longitude Magneto Optic Kerr effect of the ultrathin magnetic film grown on optic uniaxial substrate

A general method to solve the Magneto optic effect of the multilayer ultrathin films grown on the optic uniaxial crystal substrate has been developed by using a new boundary matrix. Based on this method, we can apply the magneto optic to any magnetic ultrathin film grown on uniaxial substrate as long as we choose a proper coordinate system. The formula for longitude Magneto Optical Kerr effect is derived to find out the influence of the optic properties of the uniaxial crystal on the magneto optic characteristics of multilayer system. A numerical simulation was carried out to find out the relation between Kerr rotation and optic properties of substrate. The result can be used to select the best suitable substrate on which the sample grown.