The scattering and absorption characteristics of material-coated periodic gratings under oblique incidence

Integral Equation Modeling of Multilayered Doubly-Periodic Lossy Structures Using Periodic Boundary Condition and a Connection Scheme

“…The order of the biggest matrix that had to be inverted was 456 and the CPU time for each point in the graph was about 45 s. We also simulated this same geometry with two different materials: , , , ; now for a 30 incidence and using a discretization of 2.5 cm. The results, compared against the wellvalidated 2D code Multicor [13], are shown in Fig. 10 for the TM-polarization.…”

“…Then, we must impose: (13) and these equations will allow us to eliminate all the current components involved.…”

New Series Expansions for the 3-D Green's Function of Multilayered Media With 1-D Periodicity Based on Perfectly Matched Layers

“…The excitation coefficients of the TE eigenmodes in or on top of the substrate are given in (9), shown at the bottom of this page, 1 whereas the excitation coefficients of the TM eigenmodes in or on top of the substrate are given by (10), shown at the bottom of the following page. 1 The 3-D Green's function for a 1-D periodic grid of point sources can then be written as (11) Application of the Poisson transform leads to the following equivalent series expansion (12) with .…”

“…, can be efficiently modeled as 2-D configurations [1]- [3], [5], [6], or 3-D configurations [4], [7], [8] with 1-D periodicity [1]- [3], 2-D periodicity [4], [6], or 3-D periodicity [7]. Moreover, several configurations relevant in the analysis of EM field propagation, such as EM shieldings [9] and reinforced concrete walls [10], [11], are well approximated by a periodic structure with infinite extent.…”

“…ANY practical waveguiding, scattering, and radiating devices, such as gratings [1]- [3], arrays [4], metamaterials and electromagnetic (EM)-bandgap structures [5]- [7], nonradiating dielectric waveguides [8],…”