Calculating the Input Impedance of a Microstrip Antenna with a Substrate of a Chiral Metamaterial

Buzov, Alexander L.; Buzova, Maria A.; Klyuev, D. S.; Mishin, D. V.; Neshcheret, Anatoly M.

doi:10.1134/s1064226918110037

Cited by 12 publications

(8 citation statements)

References 4 publications

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“…They have attracted much interest and support from researchers and manufacturers as powerful instruments with interesting growth potential in microwave applications [12]. Many studies have been performed to characterize microwave structures printed on complex media, ferrites, metamaterials, chiral by employing numerical and analytical methods [11][12][13][14][15][16][17][18][19][20][21][22][23][24]. In [11], a detailed analytical model is derived for the circularly polarized slot antenna, built on a ferrite substrate.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, in [13], Karma et al studied microstrip transmission lines with anisotropic and uniaxial anisotropic substrates using the discrete mode matching method. A technique for the calculation of the input impedance of a microstrip antenna printed on chiral substrate based on the integral equation with the Cauchy singularity is derived in [14]. This technique is used in [15] to investigate the dependences of the input impedance, the magnitude and phase of the electric-field components on the radiator length for different types of chiral substrates.…”

Section: Introductionmentioning

confidence: 99%

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Theoretical Study of the Input Impedance and Electromagnetic Field Distribution of a Dipole Antenna Printed on an Electrical/Magnetic Uniaxial Anisotropic Substrate

et al. 2021

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The present work considers the investigation of the effects of both electrical and magnetic uniaxial anisotropies on the input impedance, resonant length, and fields distribution of a dipole printed on an anisotropic grounded substrate. In this study, the associated integral equation, based on the derivation of the Green’s functions in the spectral domain, is numerically solved employing the method of moments. In order to validate the computing method and the evaluated calculation code, numerical results are compared with available data in the literature treating particular cases of electrical uniaxial anisotropy; reasonable agreements are reported. Novel results of the magnetic uniaxial anisotropy effects on the input impedance and the evaluated electromagnetic field are presented and discussed. This work will serve as a stepping stone for further works for a better understanding of the electromagnetic field behavior in complex anisotropic and bi-anisotropic media.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Theoretical Study of the Input Impedance and Electromagnetic Field Distribution of a Dipole Antenna Printed on an Electrical/Magnetic Uniaxial Anisotropic Substrate

et al. 2021

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“…The obtained system of singular integral equations was solved using by moments method, which with a sufficient number of members of the approximating series allows one to obtain correct results of calculating the characteristics of the MEAA with sufficiently high accuracy [11,12,13].…”

Section: Solution Of a System Of Singular Integral Equationsmentioning

confidence: 99%

“…Based on the previous studies of single-element microstrip antennas with substrates of chiral metamaterials [11,12,13], a system of singular integral equations (SIE) was obtained for unknown functions of the distribution of current densities over emitters of a multi-element antenna array based on chiral metamaterials. The dependences of the input impedance of a three-element antenna array on the normalized arm length of the emitter were derived , as well as the dependence of the isolation between the emitters on the chirality parameter.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling of Multi-Element Antenna Arrays with Chiral Metamaterials Substrates Using Singular Integral Equations

et al. 2019

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In this paper, a physical model of the multi-element antenna arrays (MEAA) has been considered and a self-consistent numerical method for solving the problem of current distribution on the MEAA surface with chiral metamaterials substrate has been proposed. The algorithm of the input admittance matrix elements for chiral layer based on the conductive left and right-handed helices has been developed and elements of the matrix surface impedances for investigated structures have been found. A set of singular integral equations with a Cauchy kernel for calculating the current density on the surface of the MEAA has been derived. A numerical solution of the set is a well-posed in the sense of Hadamard. Calculations of current distribution on the MEAA surface, impedance characteristics of a three-element antenna array and the dependence of the isolation levels between emitters on the chirality parameter have been performed and analysed. It has been shown that the use of chiral substrates can substantially increase the isolation between emitters.

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“…The electromagnetic properties of bianisotropic media should be analyzed to perceive their exotic characteristics. Several studies have been conducted to characterize the electromagnetic behavior of bianisotropic media [14][15][16][17][18], ferrites [19], metamaterials [20], chiral [21,22], nonreciprocal [23] for simple and complex dielectric based microwave planar structures using numerical and analytical methods [8,14,17,20,[24][25][26][27][28][29][30][31][32][33][34][35]. In [8] and [35], the method of lines is used to analyze planar transmission lines with conductor losses and to analyze integrated optical waveguide structures, respectively.…”

Section: Introductionmentioning

confidence: 99%

Complex Bianisotropy Effect on the Propagation Constant of a Shielded Multilayered Coplanar Waveguide Using Improved Full Generalized Exponential Matrix Technique

et al. 2020

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A theoretical study of the electromagnetic propagation in a complex medium suspended multilayer coplanar waveguide (CPW) is presented. The study is based on the generalized exponential matrix technique (GEMT) combined with Galerkin’s spectral method of moments applied to a CPW printed on a bianisotropic medium. The analytical formulation is based on a Full-GEMT, a method that avoids usual procedures of heavy and tedious mathematical expressions in the development of calculations and uses matrix-based mathematical expressions instead. These particularities are exploited to develop a mathematical model for the characterization of wave propagation in a three-layer shielded suspended CPW structure. This study is based on the development of mathematical formulations in full compact matrix-based expressions resulting in Green’s functions in a matrix form. The implemented method incorporates a new accelerating procedure developed in the GEMT which provides an initial value used to speed up searching for the exact solution in the principal computation code. This helped us to obtain accurate solutions with tolerable computing time. Good agreements have been achieved with the literature in terms of accuracy and rapid convergence. The results for different cases of bianisotropy have been investigated, and particularly, the effect on the dispersion characteristics is presented and compared with the isotropic case.

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Calculating the Input Impedance of a Microstrip Antenna with a Substrate of a Chiral Metamaterial

Cited by 12 publications

References 4 publications

Theoretical Study of the Input Impedance and Electromagnetic Field Distribution of a Dipole Antenna Printed on an Electrical/Magnetic Uniaxial Anisotropic Substrate

Theoretical Study of the Input Impedance and Electromagnetic Field Distribution of a Dipole Antenna Printed on an Electrical/Magnetic Uniaxial Anisotropic Substrate

Mathematical Modeling of Multi-Element Antenna Arrays with Chiral Metamaterials Substrates Using Singular Integral Equations

Complex Bianisotropy Effect on the Propagation Constant of a Shielded Multilayered Coplanar Waveguide Using Improved Full Generalized Exponential Matrix Technique

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