V. Twersky developed in the sixties a theory describing the reflection and transmission process of scalar plane waves from slab-like regions of randomly distributed scatterers. The theory, which is based on Foldy’s approximation and neglects “hole corrections”, is an alternative approach to an exact calculation of multiple scattering that fails when the number of scatterers is important. Twerky...

We develop a model for the reflection and transmission of plane waves by an isotropic layer sandwiched between two uniaxial crystals of arbitrary orientation. In the laboratory frame, reflection and transmission coefficients corresponding to the principal polarization directions in each crystal are given explicitly in terms of the [Formula: see text] axis and propagation directions. The solutio...

The reflection and transmission amplitudes of waves in disordered multimode waveguides are studied by means of numerical simulations based on the invariant embedding equations. In particular, we analyze the influence of surface-type disorder on the behavior of the ensemble average and fluctuations of the reflection and transmission coefficients, reflectance, transmittance, and conductance. Our ...

We address soliton reflection/transmission at interface between a uniform medium and an optical lattice with focusing Kerr nonlinearity. We reveal that such interfaces afford rich new opportunities for controlling the reflection and transmission coefficients and the nonlinear Snell law, the key control parameters being the spatial frequency and depth of refractive index modulation in the lattice.

We describe a new modular method for the calculation of wave propagation in stratified media based on the direct use of reflection and transmission coefficients. Within this reflection from the left, transmission, and reflection from the right (LTR) method we define addition and multiplication operators that enable the theoretical construction of any multilayered structures from substructures. ...