Radiation Analysis of Large Antenna Array by Using Periodic Equivalence Principle Algorithm

Abstract

Abstract-In this paper, an improved equivalence principle algorithm is proposed to solve the radiation problems of large antenna arrays with periodic structures. This method is a hybridization in which the typical scheme of periodic Green's function is combined with the original equivalence principle algorithm. The repeated elements are changed from the original antenna units into the surfaces enclosing the original ones. The proposed approach is compared with periodic method of moments which is based on the integral equation and the periodic Green's function. Numerical results validate the feasibility of the improved method.

Hybridization of Periodic Equivalence Principle Algorithm, Equivalence Principle Algorithm, and Physical Optics for Analysis of Large Finite Antenna Array with Perfect Electrically Conducting Object

“…But in a finite array, currents of the elements at the edge are different from those at the center part virtually. When utilizing the PEPA to simulate the radiation pattern of a large finite array, good accuracy can be kept only around the main lobe (Zhang et al, 2013). To increase the accuracy at other angles of the radiation pattern, keeping the efficiency, the PEPA-EPA is proposed.…”

“…PEPA, which is a scheme combining the PGF and EPA, was introduced in Zhang et al (2013). Each periodic cell unit in the PEPA should be identical.…”

“…Hence, it is essential to decrease the unknowns. Based on the characteristics of the EPA, which can reduce the number of unknowns, the EPA combined with the PGF was proposed to decrease the number of times of PGF evaluation, known as the periodic EPA (PEPA; Zhang et al, 2013). Compared to the PMM, the times on the evaluation of the PGF are greatly reduced.…”

Implementation of the Equivalence Principle Algorithm for Potential Integral Equations

“…For each subdomain, surface-integral-equation formulations can be used, while the electromagnetic interactions between subdomains are calculated via ESs. In general, EPA has a noticeable efficiency in solving finite or infinite array structures with identical elements, such as antenna arrays [6][7][8] and metamaterials [9]. In these cases, by considering identical ESs, the solution mechanism is the same for all subdomains.…”

KRYLOV’S SUBSPACES ITERATIVE METHODS TO EVALUATE ELECTROSTATIC PARAMETERS

“…The exploitation of MoM has become popular since in 1967 published a pioneering work about the MoM application in electrostatic problems and the scientific community has produced meaningful works of electrostatic modelling on different geometries exploiting MoM (Chakrabarty et al, 2002;Alad and Chakrabarty, 2012;Prarthan and Chakrabarty, 2001) in which the choice of the B/T couple was asked to the accuracy of the solution, the dimension of the matrix and the evaluation of the elements of the matrix and to problems linked to the conditioning of the same matrix and more, MoM has been applied to many problems in Science Publications AJAS several scientific domains. In Electromagnetics MoM has been applied to radiation problems, scattering problems, analysis and design of microstrips; analysis abd design of antennas; lossy structures, propagation problems (Sadiku, 2000;Angiulli and Versaci, 2002;2003;Misran et al, 2008;Elangovan and Perinbam, 2012;Sultan et al, 2012;Wu et al, 2012;Zhang et al, 2013;Mouheddin and Jamel, 2009;Apaydin and Sevgi, 2012;Kumar and Parvathi, 2012). Surely, as Harrington suggests, the choice of B/T functions of Pulse/Delta (P/D) and Pulse/Pulse (P/P) type leads, from one hand, to easy formulations of the elements of the matrix L but, from the other, to slow convergences and reduced levels of accuracy, so, even willing to restore the desired accuracy, it results imperative the increase of the number of subsections, leading sometimes tobad conditionings of the same matrix.…”