Reflection and transmission of waves from multilayer structures with planar-implanted periodic material blocks

The characteristics of the plane-wave incidence on a multilayer structure with planar periodic material blocks are presented. The layered media and the implanted blocks are either dielectric or magnetodielectric. Coupled volume integral equations in conjunction with the method of moments are used to determine the displacement electric and magnetic volume current densities within the implanted periodic blocks that are due to an incident plane wave. The displacement currents are treated as secondary sources to determine the transmitted and the reflected waves. The analysis is validated through the comparison with reflectometer measurements and a low-frequency effective medium approach. It is demonstrated that the structures are suitable for both narrow-band and wideband frequency-selective-layer (space filter) applications in millimeter waves, infrareds, and optics where metallic gratings are inappropriate. The presented analytic and numerical approach establishes the basis for the analysis of wave interactions with photonic bandgap material layers.