Study of a microstrip antenna on anisotropic metamaterials

Resonant characteristics of rectangular Microstrip antenna printed on electric–magnetic uniaxial anisotropic substrates

“…In later studies on microstrip structures, anisotropic materials, especially the uniaxially anisotropic ones have been considered due to their advantages [7][8][9][10][11][12]. It is known that some metamaterials exhibit uniaxial-type anisotropy both in permittivity and permeability tensors [13].…”

Full-wave Analysis of Rectangular Microstrip Antenna Printed on Electric-Magnetic Uniaxial Anisotropic Substrates

“…where Z is the impedance matrix and the elements of the vector C are the mode expansion coefficients to be sought [13][14][15]. Note that each element of the impedance matrix …”

“…This type of basis function is very appropriate for the vector Fourier transform domain analysis of rectangular microstrip patches for three reasons: they ensure a quick convergence of the Galerkin's method in the vector Fourier transform domain with respect to the number of basis functions, they lead to vector Fourier transform domain infinite integrals, which are amenable to asymptotic analytical integration techniques and their vector Fourier transforms can be obtained in closed form [13,15].…”

“…26 is an Eigen equation for  , from which the characteristics of the stacked structure of Figure 1 can be obtained. In fact, let [13,15], only results for the TM 01 mode are presented in this study. The basis functions for the following numerical calculations are selected to be sinusoidal functions of…”

“…Z is expressed in terms of a doubly infinite integral [13]. The system of linear equations given in Eq.…”