Wave propagation in ferrite medium

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1. The problem statement, all variables and given/known data

A plane monochromatic wave propagate in an infinite ferrite medium which is magnetized to the saturation at an angle theta to a constant magnetic field. The magnetic permeability of the ferrite is given by the tensor of the form:

mu_ik = ((mu_a, -i mu_b, 0),(i mu_b, mu_a, 0),(0, 0, mu_c))

where z-axis is parallel to the constant magnetic field. Assuming that the permitivity of the ferrite epsilon may me looked upon (considered) as a scalar, find the phase velocities of propagation v_1,2.

2. Relevant equations



3. The attempt at a solution

My idea is to diagonalize the m_ik tensor and construct the velocities using v_i = c / sqrt(epsilon mu_i), where mu_i denotes the eigenvalue of mu_ik. The thing that bothers me is the magnetization and the constant magnetic field. Due to superposition principle, they shouldn't affect the plane wave motion, right?
 

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