Oblique incidence of an electromagnetic wave at a moving ferrite medium

The interaction of an electromagnetic wave at a planar interface between a dielectric and a moving magnetized ferrite medium has been considered for arbitrary angles of incidence. The ambient magnetic field has been assumed normal to both the plane of incidence and the direction of motion of the ferrite medium. The modified form of Snell's law of refraction is derived and the possibility for total reflection of the incident wave is discussed. The expressions for the phase and the group velocities, the equivalent refractive indices of the moving medium, and the reflection and the transmission coefficients for both an incident E wave and an incident H wave have been obtained. It is found that two modified Brewster angles can exist for the case of an incident H wave and that, unlike the case of an incident E wave, the various reflection and transmission properties for an incident H wave are independent of the ferrite anisotropy. Numerical results on the angles of refraction, critical angles for total reflection, and power transfer coefficients for incident E and H waves are presented for several values of the translational velocity of the ferrite medium, the ambient magnetic field strength, and the saturation magnetization. It is revealed that substantial changes in the reflection and propagation characteristics appear only for velocities within a factor of 5 of the velocity of light.