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

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. Th...

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Bibliographic Details
Published inIEEE transactions on antennas and propagation Vol. 56; no. 6; pp. 1624 - 1632
Main Authors Luukkonen, O., Simovski, C., Granet, G., Goussetis, G., Lioubtchenko, D., Raisanen, A.V., Tretyakov, S.A.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.06.2008
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Analytical model
Analytical models
Antennas
Antennas and propagation
Arrays
Dielectrics
Exact solutions
high impedance surface
Impedance
Magnetic analysis
Mathematical analysis
Metal strips
Microwave antennas
oblique incidence excitation
Patch antennas
Phase shifters
Reflection
Reflector antennas
Strips
Studies
Surface impedance
Surface waves
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ISSN0018-926X
1558-2221
DOI10.1109/TAP.2008.923327

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Summary: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.
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ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2008.923327