Effective Permittivity of Heterogeneous Substrates With Cubes in a 3-D Lattice

Microstrip patch antennas on substrates with metallic inclusions

“…1. In a previous paper [25], the authors have shown that the use of metallic cubes can increase the relative permittivity of the host material by a factor of over 20. The values of permittivity and permeability in this paper are relative values.…”

“…The analytical equations [7] produced an effective permittivity of 8.82 using spheres of the same volume fraction. The difference in may be due to the equations in [7] being based on spherical inclusions and an infinite medium, also seen in [25]. …”

Dipole‐slot‐dipole metasurfaces

“…The thickness of the dielectric was 44 µm and the relative permittivity of GTS is equal to 3 [24]. The sample size was designed to be 260 × 260 mm 2 .…”

Designing microwave patch antennas using heterogeneous substrates

“…The effective dielectric properties of these mixtures has also been measured showing good agreement [4,6]. The authors have also shown that the inclusions can be spheres or cubes and that it is the volume fraction that is critical in determining the behavior.…”

“…The overall idea of this work is to fabricate complete antennas systems using nanomaterials [3][4][5][6]. With the rapid development of nanotechnology, it is expected that it will soon be possible to create layered microwave antennas on the millimeter or centimeter scale where the conducting and dielectric structures are made from nanoscale structures.…”