Preconditioned Electric Field Integral Equation Using Calderon Identities and Dual Loop/Star Basis Functions

2009 ◽  
Vol 57 (4) ◽  
pp. 1274-1279 ◽  
Author(s):  
Matthew B. Stephanson ◽  
Jin-Fa Lee
Keyword(s):  
Integral Equation ◽  
Electric Field ◽  
Basis Functions ◽  
Electric Field Integral Equation ◽  
Field Integral

scholarly journals Analysis of axially symmetric wire antennas by the use of exact kernel of electric field integral equation

2016 ◽  
Vol 13 (1) ◽  
pp. 95-109 ◽  
Author(s):  
Aleksandra Krneta ◽  
Branko Kolundzija
Keyword(s):  
Integral Equation ◽  
Electric Field ◽  
Coaxial Line ◽  
High Accuracy ◽  
Dipole Antenna ◽  
Basis Functions ◽  
Axially Symmetric ◽  
Electric Field Integral Equation ◽  
Wire Antennas ◽  
Field Integral

The paper presents a new method for the analysis of wire antennas with axial symmetry. Truncated cones have been applied to precisely model antenna geometry, while the exact kernel of the electric field integral equation has been used for computation. Accuracy and efficiency of the method has been further increased by the use of higher order basis functions for current expansion, and by selecting integration methods based on singularity cancelation techniques for the calculation of potential and impedance integrals. The method has been applied to the analysis of a typical dipole antenna, thick dipole antenna and a coaxial line. The obtained results verify the high accuracy of the method.

Analysis of HTS circular patch antennas including radome effects

2018 ◽  
Vol 10 (7) ◽  
pp. 843-850 ◽  
Author(s):  
Sami Bedra ◽  
Randa Bedra ◽  
Siham Benkouda ◽  
Tarek Fortaki
Keyword(s):  
Integral Equation ◽  
Electric Field ◽  
Basis Functions ◽  
Circular Disc ◽  
Basis Sets ◽  
Wave Radiation ◽  
Design Stage ◽  
Electric Field Integral Equation ◽  
Wide Range ◽  
Field Integral

AbstractIn this paper, the resonant frequencies, quality factors and bandwidths of high Tc superconducting circular microstrip patches in the presence of a dielectric superstrate loading have been studied using Galerkin testing procedure in the Hankel transform domain. The exact Green's function of the grounded dielectric slab is used to derive an electric field integral equation for the unknown current distribution on the circular disc. Thus, surface waves, as well as space wave radiation, are included in the formulation. London's equations and the two-fluid model of Gorter and Casimir are used in the calculation of the complex surface impedance of the superconducting circular disc. Galerkin testing is used in the resolution of the electric field integral equation. Two solutions using two different basis sets to expand the unknown disk currents are developed. The first set of basis functions used is the complete set of transverse magnetic and transverse electric modes of a cylindrical cavity with magnetic side walls. The second set of basis functions used employ Chebyshev polynomials and enforce the current edge condition. The computed values for a wide range of variations of superstrate thickness and dielectric constant are compared with different theoretical and experimental values available in the open literature, showing close agreement. Results are showing that the superstrate parameters should always be kept into account in the design stage of the superconducting microstrip resonators.

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