The values rij as defined in the above matrix structure are the representations of the incident polarized electric field and the reflected polarized electric field. i stands for incident and j stands for polarization. For the above equation, where rij=rss or rps, it could be said that p standards for p polarization, and s stands for s polarization. Here the Moke effect is seen to arise because of how there are non-vanishing and off diagonal reflectivity occurrences because of the rps and the rsp configurations. in the case of longitudinal Kerr geometry as was observed by researchers in the context of the incident s-polarized light beam, a Kerr rotation values was identified. The Kerr rotation value is expressed in term of reflection coefficients.
The below is the representation of the coordinate system. The coordinate system as observed here is basically a system incorporating the nonmagnetic medium from which the beam of light is incident and also the magnetic medium to which the beam of light travels. The refractive indices of the two mediums are presented as n1 an n2 respectively. Direction of magnetization is arbitrary and is entered into from different directions.
In the calculation of the alpha values, n1 value and n2 the following aspects have to be included which are the angle of incidence of the beam being transmitted from the nonmagnetic to the magnetic medium. The refractive index of the nonmagnetic medium is also required for calculations at this point. With these, it is necessary to calculate the complex refraction angle. For this, Snells law is made use of. Refracted amplitudes are calculated too based on the values and it is established that these values are usually circular polarized. The circular polarization is then assed for purpose of understanding Kerr geometrical values of mx and my. For longitudinal kerr geometry, these values are as follows. mx=1, my value is equal to value of mz which is zero. Now applying Snell’s law for purpose of understanding the Kerr rotation value of theta.