  The dynamical response of spin-S (S=1, 3/2, 2, 3) Ising ferromagnet to the
plane propagating wave , standing magnetic field wave and uniformly oscillating
field with constant frequency are studied separately in two dimensions by
extensive Monte Carlo simulation. Depending upon the strength of the magnetic
field and the value of the spin state of the Ising spin lattice two different
dynamical phases are observed. For a fixed value of S and the amplitude of the
propagating magnetic field wave the system undergoes a dynamical phase
transition from propagating phase to pinned phase as the temperature of the
system is cooled down. Similarly in case with standing magnetic wave the system
undergoes dynamical phase transition from high temperature phase where spins
oscillates coherently in alternate bands of half wavelength of the standing
magnetic wave to the low temperature pinned or spin frozen phase. For a fixed
value of the amplitude of magnetic field oscillation the transition temperature
is observed to decrease to a limiting value as the value of spin S is
increased. The time averaged magnetisation over a full cycle of the magnetic
field oscillation plays the role of the dynamic order parameter. A
comprehensive phase boundary is drawn in the plane of magnetic field amplitude
and dynamic transition temperature. It is found that the phase boundary shrinks
inwards for high value of spin state S. Also in the low temperature (and high
field) region the phase boundaries are closely spaced.
