Improved quasi-static effective medium model of the electromagnetic band gap (EBG) high-impedance surface

For the complex electromagnetic property of the electromagnetic band gap (EBG) high-impedance surface, an improved quasi-static effective medium model is proposed, which makes a quantitative relationship among the geometry, medium properties and the electromagnetic properties of the EBG high-impedance surface. The macroscopic interaction of the wave with the EBG high-impedance surface is equivalent to that of the wave with an effective medium when the wavelength is large compared with the dimension of each cell of the high-impedance surface. With the effective medium model proposed by quasi-static electromagnetic theory, designs of the high-impedance surface and its application system such as antenna system can be implemented separately. Some numerical simulations and experiments of practical high-impedance surfaces are given to illustrate the applications and validity of the proposed model.