  Optomagnonics and optomechanics have various applications ranging from
tunable light sources to optical manipulation for quantum information science.
Here, we propose a hybrid system with the interaction between phonon and magnon
which could be tuned by the electromagnetic field based on the radiation
pressure and magneto-optical effect. The self energy of the magnon and phonon
induced by the electromagnetic field and the influence of the thermal noise are
studied. Moreover, the topological features of the hybrid system is illustrated
with resort to the dynamical encircling with the exceptional points, and the
chiral characteristics under these encirclements are found.
