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Abstracts - Dipartimento di Elettronica Applicata

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Meta 2010 & FEM 2010 – Rome, 13-15 December 2010<br />

Design formulas of High-Impedance Surfaces with<br />

circular patch arrays.<br />

D. Ramaccia, F. Bilotti and A. Toscano<br />

(1) University RomaTre, Department of Applied Electronics<br />

Rome, Italy – E-mail: davide.ramaccia@gmail.com<br />

Originally photonic band gap materials were introduced with the goal to control the<br />

optical properties of materials. Frequency Selective Surfaces (FSS) materials offer the<br />

same control for the electromagnetic properties of the materials at microwave<br />

frequencies. These perio<strong>di</strong>c metallic arrays are employed in the design of High<br />

Impedance Surfaces (HIS) [1], [2].<br />

A typical high–impedance surface with square patches, its equivalent circuit<br />

representation and the circular patch pattern are shown in Figure 1a, 1b and 1c,<br />

respectively.<br />

b) c)<br />

Figure 1: HIS a) typical structure with square patches. b) equivalent circuit model. c) circular patch<br />

array.<br />

It is well known that although the array with square and circular patches have the<br />

same perio<strong>di</strong>city D and the same separation d, the <strong>di</strong>fferent geometry of the elements<br />

causes a <strong>di</strong>fferent behavior in frequency. It is taken into account mo<strong>di</strong>fying the<br />

expression the separation gap d between two adjacent patches. The new parameter deq<br />

for circular patches is deq ��D�� d,<br />

where the coefficients � and � have been<br />

determined geometrically.<br />

The resonance frequency of the circuit in Figure 1b corresponds to the frequency<br />

when the structure present a 0 degree phase shift of the reflected wave. From the<br />

resonant circuit theory, it is �0 � 1 LC and consequently the gap d can mo<strong>di</strong>fy the<br />

resonant frequency of the structure. Fixing � 0 , the geometrical parameters of the<br />

structure can be used to define the bandwidth of operation.<br />

References<br />

[1] O. Luukkonen et al., "Simple and Accurate Model of Planar Grids and High–Impedance Surfaces<br />

Comprising Metal Strips or Patches," IEEE Trans. Antennas Propag., 56, 1624–1632, 2008.<br />

[2] D. Sievenpiper et al., "High-Impedance Electromagnetic Surfaces with a Forbidden Frequency<br />

Band," IEEE Transaction Microwave Theory Tech., 47, 1999.<br />

37<br />

a)

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