Closed-Form Analysis of Artificial Dielectric Layers-Part II: Extension to Multiple Layers and Arbitrary Illumination

• Published in: IEEE transactions on antennas and propagation Vol. 62; no. 12; pp. 6265 - 6273
• Main Authors: Cavallo, D., Syed, W. H., Neto, A.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01-12-2014; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Antennas; Artificial dielectric; Couplings; Dielectrics; equivalent circuit; Equivalent circuits; Exact solutions; Green's function methods; Green's functions; Magnetic domains; Magnetic resonance imaging; Mathematical analysis; Mathematical models; Plane waves; plane-wave expansion; scattering from grids; Slabs; X-band
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/TAP.2014.2365236

In this second part of a two-paper sequence, we present an analytical formulation to model artificial dielectric layers (ADLs) of finite height. We extend the method developed in Part I (IEEE Trans. Antennas Propag., vol. 62, no. 12, pp. 6256-6264, 2014) describing the single layer to the multilayer case, by including the higher-order interaction between parallel sheets in analytical form. From the equivalent impedance of the layers, we can construct a transmission line model that provides the spectral Green's function of ADLs in closed form. This allows to characterize the propagation through finite ADLs and to study the dispersion characteristics from the investigation of the Green's function singularities. Finally, by integrating the responses of a continuous set of plane waves, sources at finite distances from the ADL slab are treated. The method is validated by comparison with commercial electromagnetic solvers and experimental results obtained from a X-band prototype demonstrator.