Optimized Analyses of Gain Enhancement with Metasurface Cells

In this paper, the fractional area, which is the ratio of the area of metal surrounded to the substrate area for one cell, of the metamaterial cells is studied to find the relation between the gain enhancement and the fractional area, where the distance away from patch antenna is λ0/2. Two cases of the split ring resonator are compared, one is that the structure and the relative size are kept while increases the cell number by increasing the fractional area, and the other is kept the fractional area but with different metal area and structure for two different cells of the same resonances. We find the gain doesn't always increase with the cell number, it will decrease when the fractional area is up to a certain degree; and the smaller cells, the higher gain enhancement.