A Low-Order-Singularity Electric-Field Integral Equation Solvable With Pulse Basis Functions and Point Matching

Abstract

Abstract-The conventional form of the electric-field integral equation (EFIE), unlike the magnetic-field integral equation, cannot be solved accurately with the method of moments using pulse basis functions and point matching. A new form of the EFIE is derived whose kernel has no greater singularity than that of the free-space Green's function. This low-order-singularity form of the EFIE, the LEFIE, is solved numerically for perfectly electrically conducting bodies of revolution (BORs) using pulse basis functions and pointmatching. Derivatives of the current are approximated with finite differences using a quadratic Lagrangian interpolation polynomial. Such a simple solution of the LEFIE is contingent, however, upon the vanishing of a linear integral that appears when the original EFIE is transformed to obtain the LEFIE. This generally restricts the applicability of the LEFIE to smooth closed scatterers. Bistatic scattering calculations performed for a prolate spheroid demonstrate that results comparable in accuracy to those of the conventionally solved EFIE can be obtained with the LEFIE using pulse basis functions and point matching provided a higher density of points is used close to the ends of the BOR.

Accuracy Controllable Method for Oblique Incidence on Bodies of Revolution

“…Since the th cylindrical plane wave is dominated by , where positive parameter , a local harmonic current is dominated by a local . This can be the origin of the approximate formulations presented in [1]and [2]though it is not pointed out in these two papers.…”

“…This is Manuscript familiar with the method proposed by R. A. Shore et al [2]. In [2], the needed number of harmonics is set as , where 0 1; function takes the integer part of its parameter; is the minimum integer satisfying by searching a table of the Bessel function, where is a small positive number (e.g., 0.005 [2]).…”

“…Shore et al [2]. In [2], the needed number of harmonics is set as , where 0 1; function takes the integer part of its parameter; is the minimum integer satisfying by searching a table of the Bessel function, where is a small positive number (e.g., 0.005 [2]). Both the above two methods use the convergence of the Bessel functions instead of the induced harmonic currents as the truncation criterion of the harmonics; this is not exact.…”

Efficient Near-Field Computation for Radiation and Scattering From Conducting Surfaces of Arbitrary Shape

“…The integral equation technique is one of the most widely used electromagnetic techniques up till now [1][2][3][4][5]. However, most of the literatures concerned with this technique give attention to the evaluation of the current, input impedance and far field rather than the evaluation of the near field.…”

Análisis de problemas arbitrarios de dispersión electromagnética mediante métodos híbridos.

“…En la figura 3.62 se puede apreciar que la convergencia conél número de funciones base del método de los momentos (dNc i ) es bastante lenta, y es necesaria una densidad de funciones base de por lo menos 200 por cada longitud de onda. Esto se debe probablemente a la lenta convergencia del método de los momentos al utilizar Point-Matching, destacada en numerosas publicaciones técnicas [56].…”