  In the present paper, we study deformations of polar weighted homogeneous
polynomials which are also polar weighted homogeneous polynomials. We describe
a round handle decomposition of the Milnor fibration of a deformation of a
polar weighted homogeneous polynomial concretely and give the number of round
handles by the number of positive and negative components of the links of
singularities appearing before and after the deformation. We also give a
formula of characteristic polynomials of these singularities by using the
decomposition of the monodromy of the Milnor fibration induced by a round
handle decomposition.
