Problem in reflection from half-infinite magnetic media

[farhadjun]

1.A linearly polarized plane wave, traveling in vacuum in the x-direction, is incident on a half-infinite magnetic region. The magnetic material is magnetized in the +y-direction with the saturation magnetization Ms . The dc magnetic field inside this material (internal dc field) is constant everywhere, and given by H0 (also in the +y-direction). The material has a relative dielectric constant of ε , and is assumed to be insulating and lossless. Consider the two cases where the incident wave is polarized in the in the y- and z-directions (in the sense of the electric field):
(i) Is the reflected wave also linearly polarized in both cases? In which direction?
(ii) Calculate the reflection coefficient for these two cases. Plot the magnitude of the two
reflection coefficients as function of frequency.
(iii) Next consider the general case of a linearly polarized wave with the electric field in
an arbitrary direction (in the y-z plane). What can be said of the polarization of the
reflected wave? What about its dependence on frequency?

Homework Equations

3. I don't have any idea about this problem and I can't solve it,please guide me

 

[NateD]

.The answer to this question depends on the specific details of the problem. Generally speaking, a linearly polarized plane wave traveling in vacuum in the x-direction will be reflected off the half-infinite magnetic region with the same polarization as it had before the reflection. This means that if the incident wave is polarized in the y-direction, the reflected wave will also be linearly polarized in the y-direction. If the incident wave is polarized in the z-direction, then the reflected wave will be linearly polarized in the z-direction.To calculate the reflection coefficient for these two cases, one needs to know the dielectric constant of the material, the saturation magnetization, and the internal dc field. Once these parameters are known, the reflection coefficient can be calculated using the Fresnel equations. The magnitude of the two reflection coefficients can then be plotted as a function of frequency.For the general case of a linearly polarized wave with the electric field in an arbitrary direction (in the y-z plane), the polarization of the reflected wave will depend on the angle between the incident wave and the surface of the material. If the incident wave is perpendicular to the surface, the reflected wave will retain its linear polarization. However, if the angle between the incident wave and the surface is not perpendicular, then the polarization of the reflected wave will be elliptically polarized. The frequency dependence of the reflected wave will also depend on the angle between the incident wave and the surface.