Plane-wave reflection from a special inhomogeneous plasma slab

The frequency dependence of the reflection coefficient is studied for the case when a plane wave is incident upon an inhomogeneous slab representing the plasma wavetrain of a special type, which consists of the single-extremum regular and multiextremum multiscale irregular parts. A band-limited fractal function is invoked to model the irregular part of the permittivity profile that describes the multiscale inhomogeneities. A first-order nonlinear differential equation of the Riccati type is used for calculations. The obtained results demonstrate the effect of the parameters of the fractal function on the frequency-dependent reflection coefficient.