  In this paper, we examine the modification of specific nonclassical
properties of the nonlinear coherent state on sphere upon perpendicular
propagation through an absorptive and dispersive dielectric slab at finite
temperature. For this purpose, by describing the dielectric dispersion of the
slab by Lorentz model, the quadrature squeezing and the Mandel parameter are
evaluated for the transmitted state. A generalization of single-mode nonlinear
coherent state to the continuum-mode is considered. The degree of second-order
coherence is instead calculated for a continuum nonlinear coherent state on
sphere, and the quantum noise effects produced by transmission through the slab
on the antibunching feature are examined. We find that near the medium
resonance the detrimental effect of the loss and thermal fluctuations of the
slab are not compensate with increasing the physical space curvature of the
incident state.
