Simulation of Active Reflection Coefficient Phenomena of Large Antenna Array Using FEM Domain Decomposition Methods

Abstract

This paper proposes the application of the Finite Element Tearing and Interconnecting method (FETI-2LM) a Domain Decompositon Method (DDM) [1], [2] for the full-wave simulation of large antenna array (few thousands of radiating elements). The proposed methodology makes it possible to efficiently calculate in a post-processing step the antenna patterns for steering directions within the desired field of view while taking into account the active reflection coefficients. The methodology is based on an efficient extraction of the embedded radiating elements far field radiation patterns as well as the Generalized Scattering Matrix (GSM) [3] of the array by implementing massively parallel computers. The beauty of the GSM is its capability to handle the active S-parameters independently of the steering direction. This permits to generate the angulardependent active reflection coefficients by post-processing. This implementation is a step forward to provide us with a tool that permits to evaluate by simulation large antenna array while taking into account all the phenomena and interactions that may degrade the key performances that are required at a higher level, to specify a global system before fabrication.

Manufacture and Measurement of Circularly Polarized Ka-Band Radiating Elements for SatCom Wide-Angle Phased Arrays Tiles

“…The FACTOPO simulator first provides the complete coupling matrix of the array (generalized scattering matrix) as well as the radiation diagrams of all the embedded elements. The radiating elements having two feed ports to form the circular polarization (CP), the gain patterns in circular polarization as well as the active reflection coefficients in circular polarization on all the ports of the antenna are obtained by linear combination in a post-processing phase [6]. Figure 4 shows the electric field induced by the port feeds within a cell of the array.…”

A Rigorous Code Verification Process of the Domain Decomposition Method in a Finite Element Method for Electromagnetics

“…Garcia-Castillo are with the Department of Signal Theory and Communications, University Carlos III of Madrid, 28911, Leganes, Spain (e-mail: aamor@ing.uc3m.es, legcasti@ing.uc3m.es) O. Floch, L.L. Toth, and R. Dyczij-Edlinger are with the Lehrstuhl für Theoretische Elektrotechnik, Universität des Saarlandes, Saarbrücken [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42]. All these references can be divided into three groups: i) optimized Schwarz methods, focused on the optimization of the so-called transmission conditions, [16], [25], [30]; ii) cement element methods, which use transmission conditions through the definition of cement variables with physical meaning, [13], [14], [17], [18], [19], [20], [21], [22]; iii) finite element tear and interconnecting (FETI) methods, which use Lagrange multipliers to obtain a reduced system of equations, [15], [23], [26], [27], [24], [32],…”

Electromagnetic Analysis of Periodic Iris-Fed Patch Antenna Array Using Fast and Efficient Hybrid Analytical Approach

“…However, they are not suitable for large array. It is therefore necessary to focus on more developed full-wave approaches, such as the domain decomposition method (DDM) [4] and the multilevel fast multipole method (MLFMM) [5]. These methods are dedicated to analyzing large periodic structures.…”