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8 shows the theoretical results highlighting the influence of substrate thickness for several values of relative permittivity. With the effective area of the antenna increasing when its electrical volume increases, the directivity is much higher when the thickness is significant and the permittivity is weaker. 8. 10. Influence of the substrate on resonant frequency: parametric study based on antenna RCS The objective is to analyze the influence of the substrate on variations in resonant frequency of a printed antenna.

26 Compact Antennas for Wireless Communications & Terminals seen as electric walls. 1] G on the ground plane and the patch, where n is the normal outward direction for the two metallic surfaces. 1. Basic structure of a patch with an ordinary geometry (viewed from the side and from above) In the significant hypothesis where h << λ, the two metallic surfaces are so close to each other that there is insufficient space for either of the tangential components E or of the normal component H to exist.

However, unlike with purely metallic cavities, the electromagnetic energy is able to escape along the edges of the structure, which will form radiating apertures. The boundary conditions above will be used to determine the structure of the fields below the patch. 6] hence: Understanding the normal component Ez therefore enables us to calculate the other components of the field, with the result also found in the calculation of the TM mode in a metallic waveguide. 7] where k is the propagation constant of the wave in the medium.

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