||We investigate the propagating properties of the electromagnetic waves in the trans-|
versely magnetized magneto-optical (MO) media and the devices composed of MO me-
dia and isotropic medium. The permittivity tensor and permeability tensor of the MO me-
dium is a Hermitian matrix, and the equation of magnetic field, electric field and Poyn-
ting vector of the TM mode can be derive by using Maxwell equations. It is shown that
the endpoint of the electric field vector sweeps out an ellipse lying on the plane of inci-
dence. Furthermore, we derive the formulas for evaluating the reflection rate in the cases
of MO-to- isotropic medium incidence or isotropic-to-MO medium incidence. We also
prove that there is no Brewster’s angle corresponding to these situations.
In addition, the transfer matrix for calculating the transmission rate and band struc-
ture of the one dimensional transversely magnetized magneto-optical photonic crystal
(MOPC) is derived. From these results, we find that the larger the values of the
off-diagonal elements of the dielectric tensor, the stronger the spectral asymmetry (non-
reciprocity) of the MOPCs. The strong spectral asymmetry leads to a number of interest-
ing phenomena, including one-way transparency and negative refraction. To verify the
predicted phenomena in MOPC based on band structure analysis, we implement a lot of
numerical simulations on the steady state magnetic field distribution and time-averaged
energy-flow density for the cases of plane wave, Gaussian beam and point source waves.
All the phenomena have been confirmed numerically.
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