GPS Satellite Surveying, 4th Edition

Appendix HPatch Antennas with Artificial Dielectric Substrates

Consider the left panel of the Figure H.1, showing a structure comprising top and bottom metal planes with the dense periodic system of metal ribs attached to the bottom plane (Silin and Sazonov, 1971). The characteristic equation for the wave traveling in the x direction in the area is

H.1

Here, is a surface impedance formed by the ribs,

H.2

Assuming and , the solution to (H.1) is

H.3

Thus,

H.4

and the slowdown factor , related to equivalent effective dielectric constant of an artificial medium, is

H.5

Thus, for a narrow gap ...