Greetings, homogenization is possible when the em wave propagation does not happen in different dielectrics. For homogenization to be made possible assemble the stacks of antenna layers in such a way that the objective is met.
If the air holes are small and randomly distributed, they may have a negligible effect on the overall homogeneity of the substrate. In such cases, the substrate would still be considered homogeneous, albeit with a slightly lower average dielectric constant due to the presence of air. However, if the air holes are intentionally patterned or designed in a specific manner, they can create a non-homogeneous structure with varying dielectric properties across the substrate.
While the introduction of air holes can affect the electrical properties of a substrate, it does not inherently determine whether the substrate is homogeneous or non-homogeneous. The overall homogeneity or non-homogeneity depends on the material composition and structure of the substrate, including the presence and arrangement of air holes.
homogeneous and non homogeneous do not depend on the air gap or holes or may be any change in the substrate material. it will just change electric behavior of the substrate. It is the material property that decides whether these behaviors.