The general expression of magneto-optical permittivity tensor includin
g the Faraday and Cotton-Mouton effects is derived and the coupled wav
e equations for the optical modes propagating in an arbitrary directio
n with respect to the magnetostatic surface wave are obtained. The opt
ical multimode coupled wave equations will reduce to the bi-mode ones
in the phase-matching conditions. The behaviors of four types of impor
tant optical bi-mode coupling are discussed and some new results are o
btained. In the limits of alpha = 0 and pi/2, all results obtained red
uce to those reported in the literature.