Enhancing Antenna Gain and Radiation Patterns Through the Investigation of Chiral Metamaterials

The determination of chirality in materials, a crucial parameter in electromagnetic research, is explored in this study. Chirality, as elucidated by Equation 9, hinges on the refractive index <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$(n)$</tex> , setting it apart from traditional <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">n</tex> value determination. The investigation necessitates the assessment of both circularly polarized waves, <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">CPR</tex> and <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">CPL</tex> , as opposed to linearly polarized waves, involving the placement of materials in their path. Subsequently, <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">n</tex> values for <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">CPR</tex> and <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">CPL</tex> are ascertained and applied in Equation 9 to compute the chirality of the material. Our research delves into methodologies for extracting epsilon <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">(ε)</tex> , mu <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">(μ)</tex> , impedance <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$(z)$</tex> , and refractive index <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$(n)$</tex> , culminating in the development of a program for their computation via S-Parameters, fundamental data stemming from simulations or measurements. The program's practical utility is demonstrated through validation with air, yielding results congruent with air's inherent properties. This substantiates the program's efficacy in accurately determining diverse material properties.