Set of modes for the description of wave propagation through slabs with a transverse variation of the refractive index

Abstract

The scattering of electromagnetic waves by a slab whose refractive index is changing along its boundary planes is exactly calculated in a closed analytical form. The key feature of the calculation is the introduction of a new set of modes. As a specific example, we calculate the reflected and transmitted fields generated by the interaction of an incoming plane wave with an N-layered medium, the layers of which are perpendicular to the boundary planes of a slab.

The exact theory for scattering of waves by thick holes in a slab and other objects with non-separable geometries

“…As mentioned before, a particular case of this geometry is that of several slits in a thick plate. A survey of the background theory of the mathematical results that have been used in this chapter and can be found in [6], whereas the original theory in full detail can be found in [7].…”