Tensor Surface Impedance Characterization of Isotropic Inhomogeneous Metasurface Backed CSRR Loaded Sub-6 GHz Dual-Band MPA
Swarnadipto Ghosh, Chinmoy Saha
Abstract
In this letter, a rotated dual-split complementary circular split ring resonator (RDS-CCSRR) loaded isotropic, inhomogeneous metasurface (IIM) backed dual-layered sub-6 GHz, dual-band microstrip patch antenna (MPA) has been reported. A complete tensor surface impedance matrix <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$({\overline{\overline {{{Z}_{\mathrm{surf}\ }}}} })$</tex-math></inline-formula> characterization of IIM along with 3 × 3 unit cell has been derived. The proposed antenna exhibits a sub-6 GHz dual-band response at <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">f<sub>r</sub></i> = 3.54 and 4.375 GHz with an overall footprint of 0.19 <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">${{\lambda }_0} \times $</tex-math></inline-formula> 0.19 <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">${{\lambda }_0}$</tex-math></inline-formula>; where <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">${{\lambda }_0}$</tex-math></inline-formula> is the free space wavelength at 3.54 GHz. A platted through hole is loaded to suppress the higher-order mode effects. Polarization diversification due to IIM backing is characterized at each resonance frequency (<inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">${{f}_r}$</tex-math></inline-formula>) to observe the behavior of both orthogonal and bilinear modal currents of IIM through systematic simulation and measurement of the fabricated antenna.