Analytical model of a self-complementary connected antenna array on high impedance surface

This paper presents an analytical model to design a self-complementary connected antenna array above artificial materials like high impedance surfaces (HIS). The objective of this model is to perform parametric studies to facilitate deeper understanding of a complex antenna array with a significantly shorter computation time than with electromagnetic simulators. The model of the complete structure has been designed in receiving mode when structure is illuminated with a plane wave and using transmission line model and ABCD matrix. By applying an interesting property which gives equivalence between the input impedance in transmit mode and the surface impedance in receiving mode, the impedance match of the self-complementary connected antenna array can be quickly calculated. It is also simple to evaluate the influence of the incidence angle on the reflection coefficient of a self-complementary connected antenna array above perfect electric conductor (PEC) or HIS. PEC or artificial materials can modify the antenna array behavior by either increasing the bandwidth or by adding additional bandwidths. All these results have been verified to be accurate by numerical simulations done with Ansys HFSS.