These are found to possess a material that has innate anisotropic magneto-optical properties embedded in its design. These are found to be in accordance with crystal symmetry. After this a number of derived equations are drawn. These are found to accurately predict unknown polarization impact for transverse magnetization component. These are found to be further bolstered by the epitaxial hcp Co films. The results from this experiment indicate that the magneto-optical anisotropy is found to cause significant deviations that are commonly employed. These are the MOKE data interpretation. There are a number of research works that have been undertaken in order to understand the benefits of using the longitudinal MOKE setup.
The longitudinal Moke is created by means of an experimental setup. In the experimental setup, the beam of light travels to the magnetic medium. It has an arbitrary direction at this point of magnetization. The dielectric tensor is given by a generalized first order equation as follows.
In this the physical quantities, will not be treated as complex numbers, and for the sake of simplicity, the zz and xx values for the tensor defined are assumed to be equal. Only under this assumption, the definition of the magneto optical constant Q is possible. Now these values are considered in the context of the first order equation that is presented above.
In the equation, the mx, my and the mx are the direction cosines with respect to the magnetization vector M. So, for the given values the Maxwell equations are solved using the defined dielectric tensor values. This leads to the derivation of E values in the Fresnel reflection matrix as follows. The Fresnel reflection matrix is derived from the calculations of the first order equation based on the tensor value.