  We study polarization squeezing of a light beam initially in the coherent
state using the nonlinear interaction hamiltonian $ H=k\big(\hat
a_{x}^{\dagger2}+{\hat a_{x}}^2\big)$. For the degree of polarization
squeezing, we use a definition written in the final form by the authors and
also used in earlier papers. We find that the polarization squeezing can be
very high and the degree of polarization squeezing can be less than unity by a
very small amount. We achieve the polarization squeezing even for very low beam
intensity under some conditions involving phase angles in the polarization
modes.
