Simple and Accurate Analytical Model of Planar Grids and High-Impedance Surfaces Comprising Metal Strips or Patches

By Olli Luukkonen, C. Simovski, G. Granet, George Goussetis, D. Lioubtchenko, A. Raisanen, Sergei A. Tretyakov. IEEE Transactions on Antennas and Propagation, 2007

813 citations recorded by the source corpus.

Simple analytical formulas are introduced for the grid impedance of electrically dense arrays of square patches and for the surface impedance of high-impedance surfaces based on the dense arrays of metal strips or square patches over ground planes. Emphasis is on the oblique-incidence excitation. The approach is based on the known analytical models for strip grids combined with the approximate Babinet principle for planar grids located at a dielectric interface. Analytical expressions for the surface impedance and reflection coefficient resulting from our analysis are thoroughly verified by full-wave simulations and compared with available data in open literature for particular cases. The results can be used in the design of various antennas and microwave or millimeter wave devices which use artificial impedance surfaces and artificial magnetic conductors (reflect-array antennas, tunable phase shifters, etc.), as well as for the derivation of accurate higher-order impedance boundary conditions for artificial (high-) impedance surfaces. As an example, the propagation properties of surface waves along the high-impedance surfaces are studied.

Subfields: Aerospace Engineering, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/dacc444070130ba98cf47cc2e913655310883406

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In Aerospace Engineering

In Atomic and Molecular Physics, and Optics

Citations in the corpus

An Overview of Equivalent Circuit Modeling Techniques of Frequency Selective Surfaces and Metasurfaces (2014, methodology): “The effect of substrates is generally taken into account by multiplying the FSS capacitance through the averaged permittivity of the dielectrics enclosing the FSS [51].”
Ultrawideband Metasurface Lenses Based on Off-Shifted Opposite Layers (2016, background): “over a dielectric slab [1], [7] and the bed of nails [1], [8].”
A New Technique for Design of Low-Profile, Second-Order, Bandpass Frequency Selective Surfaces (2009, methodology): “proximated using the following formula [19]”
Metasurfing: Addressing Waves on Impenetrable Metasurfaces (2011, background): “Luneburg lenses based on a similar concept can be found in [8] and [9].”
A Circuit-Based Model for the Interpretation of Perfect Metamaterial Absorbers (2012, background): “For a patch array the capacitance is angular dependent for TE polarization [39] (it decreases as the incident angle increase) while the cross array capacitance is almost angle-independent [40].”
TE Surface Wave Resonances on High-Impedance Surface Based Antennas: Analysis and Modeling (2011, methodology): “of the short dipole in free space is placed in parallel to the input impedance of the HIS structure computed by averaged formulas valid at normal incidence [12].”
Single-Layer Dual-Band Linear-to-Circular Polarization Converter With Wide Axial Ratio Bandwidth and Different Polarization Modes (2019, methodology): “Then, the initial dimensions of the converter according to the circuit parameters can be obtained referring to [34] as follows:”
Anisotropic Impedance Surfaces for Linear to Circular Polarization Conversion (2012, methodology): “Analytical [21] or semi-analytical [29], [39] expressions are available for the equivalent surface impedance of periodic dipole arrays and a method for the design of a dipole array that produces a given equivalent surface impedance dispersion has been outlined in [22].”