Analytical evaluation of the asymptotic impedance matrix of a grounded dielectric slab with roof-top functions

Park, Seong‐Ook; Balanis, C.A.; Birtcher, Craig R.

doi:10.1109/8.660970

Cited by 39 publications

(1 citation statement)

References 15 publications

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“…The surface current J r s ) on the patch can be expanded into a finite series of known basis functions J xn and and J yn . [9]:…”

Section: In Whichmentioning

confidence: 99%

Design of Array of Rectangular Superconducting Microstrips with Multilayer Dielectrics

2019

ILLHSS-19, ICIIT-19, IABMS-19 Dec. 5-6, 2019 Istanbul (Turkey)

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The analysis of array of rectangular superconducting microstrips implemented in multilayered substrates is presented in this research. The spectral domain and the stationary phase formulations of single rectangular superconducting microstrip antenna are given, in order to calculate its resonant frequencies and its radiation patterns. Additionally, the swarm particle optimization (PSO) is employed for the synthesis of linear array geometry. The main objective of this optimization is to achieve minimum side lobe levels, and maximum directivity. Then, we calculate and plot the total radiated field which is the multiplication of a single element radiation pattern by the array factor, when superconducting rectangular microstrip antennas are made in a linear arrangement. Comparing to the exiting array antenna design, the numerical results, obtained from the implementation of our calculations, have shown that the optimum parameters of amplitudes of excitation and positions obtained by our formulation using PSO increases the gain, and improve the directivity.

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“…The surface current J r s ) on the patch can be expanded into a finite series of known basis functions J xn and and J yn . [9]:…”

Section: In Whichmentioning

confidence: 99%

Design of Array of Rectangular Superconducting Microstrips with Multilayer Dielectrics

2019

ILLHSS-19, ICIIT-19, IABMS-19 Dec. 5-6, 2019 Istanbul (Turkey)

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Efficiency improvement in the spline-type divided-difference interpolation technique for impedance matrix calculation

Kahng

Choi

Kim

1999

Microw. Opt. Technol. Lett.

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Spectral domain analysis of large (M)MIC‐structures using novel quadrature methods

Vaupel¹,

Eibert²,

Hansen³

2004

Int J Numerical Modelling

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SUMMARYThe spectral domain approach for the solution of integral equations is especially attractive for planar circuits and antennas in multilayered environments characterized by analytically derived Green's functions. However, for circuits with large lateral dimensions the spectral integrands are strongly oscillatory and accurate evaluation of the integrals is extremely difficult and often time-consuming. In this paper, we propose higher-order Legendre quadrature rules optimized for the integration of the oscillating integrands using the Filon principle. The Legendre-Filon quadrature weights are computed for the specific oscillations by solving a small linear system of equations. The method is applied within a spectral domain solution approach evaluating the spectral integrals in cartesian wavenumbers and using asymptotic extraction techniques as well as complex integration path deformation for improved convergence. Since the asymptotic extraction causes a singularity in the origin of the wavenumber domain that is not annihilated by cartesian wavenumber integration, a special procedure for the treatment of this singularity is also introduced. The overall method needs very few sampling points for the numerical evaluation of the spectral integrals but is still applicable to very large structures as compared to the wavelength.

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Analytical evaluation of the asymptotic impedance matrix of a grounded dielectric slab with roof-top functions

Cited by 39 publications

References 15 publications

Design of Array of Rectangular Superconducting Microstrips with Multilayer Dielectrics

Design of Array of Rectangular Superconducting Microstrips with Multilayer Dielectrics

Efficiency improvement in the spline-type divided-difference interpolation technique for impedance matrix calculation

Spectral domain analysis of large (M)MIC‐structures using novel quadrature methods

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