Title: Magnetic control of Goos-Hanchen shifts in a yttrium-iron-garnet film,
Abstract: We investigate the Goos-Hanchen (G-H) shifts reflected and transmitted by a
yttrium-iron-garnet (YIG) film for both normal and oblique incidence. It is
found that the nonreciprocity effect of the MO material does not only result in
a nonvanishing reflected shift at normal incidence, but also leads to a
slab-thickness-independent term which breaks the symmetry between the reflected
and transmitted shifts at oblique incidence. The asymptotic behaviors of the
normal-incidence reflected shift are obtained in the vicinity of two
characteristic frequencies corresponding to a minimum reflectivity and a total
reflection, respectively. Moreover, the coexistence of two types of
negative-reflected-shift (NRS) at oblique incidence is discussed. We show that
the reversal of the shifts from positive to negative values can be realized by
tuning the magnitude of applied magnetic field, the frequency of incident wave
and the slab thickness as well as the incident angle. In addition, we further
investigate two special cases for practical purposes: the reflected shift with
a total reflection and the transmitted shift with a total transmission.
Numerical simulations are also performed to verify our analytical results.