Full-wave analysis of cavity-backed and probe-fed microstrip patch arrays by a hybrid mode-matching generalized scattering matrix and finite-element method

Aza, Miguel Á. González de; Encinar, José A.; Zapata, J.; Lambea, M.

doi:10.1109/8.660968

Cited by 42 publications

(5 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…T HE computation of time-harmonic electromagnetic scattering from three-dimensional cavity-backed apertures in an infinite ground plane has attracted the attention of various researchers [1], [2] and is also treated in some textbooks on computational electromagnetics [3].…”

Section: Introductionmentioning

confidence: 99%

Scattering from three-dimensional cavity-backed apertures in an infinite ground plane by RBCI

2000

View full text Add to dashboard Cite

This paper describes an extension of the Robin Boundary Condition Iteration (RBCI) method to solve the problem of scattering from three-dimensional cavities embedded in an infinite ground plane. The proposed method is a hybrid one since it combines a differential equation for the interior and the neighborhood of the cavities with an integral equation for the rest of the unbounded domain. A suitable choice of the boundary condition (of the nonhomogeneous mixed type) on the fictitious boundary dividing the two parts of the domain avoids resonances whatever the frequency. Moreover, an iterative solver is described for the efficient solution of the discretized global system of linear equations.

show abstract

Section: Introductionmentioning

confidence: 99%

Scattering from three-dimensional cavity-backed apertures in an infinite ground plane by RBCI

2000

View full text Add to dashboard Cite

show abstract

“…8 GHz und der relatiBild 6: Antenne: Struktur einer Patch-Antenne mit zwei unterschiedlichen Dielektrika. Abmessungen siehe [22]. ven Dielektrizitätskonstanten der beiden Dielektrika ε r1 = 1 .…”

Section: Polynomiell Parametriertes Systemunclassified

Ordnungsreduktion linearer zeitinvarianter Finite-Elemente-Modelle mit multivariater polynomieller Parametrierung (Model Order Reduction of Linear Finite Element Models Parameterized by Polynomials in Several Variables)

Farle¹,

Hill²,

Ingelström³

et al. 2006

Auto

View full text Add to dashboard Cite

Ortwin Farle, Volker Hill, Pär Ingelström und Romanus Dyczij-Edlinger Der vorliegende Beitrag stellt ein Verfahren zur Ordnungsreduktion linearer Gleichungssysteme vor, die durch Polynome in mehreren Variablen parametriert sind und aus der Finite-Elemente-Methode hervorgehen. Der vorgeschlagene Ansatz beruht auf multivariaten Krylov-Unterräumen und erweitert bestehende Verfahren in zweierlei Hinsicht: Erstens beinhaltet er einen neuen Algorithmus zur Berechnung einer stabilen Basis für das reduzierte System, und zweitens verallgemeinert er das Konzept der Krylov-Unterräume höherer Ordnung auf Mehrparametersysteme.This paper presents an order reduction method for linear equation systems parameterized by several variables, which stem from the finite element method. The proposed approach is based on multivariate Krylov subspaces and extends existing methods in the following two aspects. First, it contains a new algorithm for computing a stable basis for the reduced system, and, second, it generalizes the concept of Krylov subspaces of higher order to multiparameter systems. Schlagwörter: Modellreduktion, Ordnungsreduktion, Krylov-Unterraummethoden, Mehrparametersysteme, polynomielle Parametrierung Keywords: Model order reduction, Krylov subspace methods, multi-parameter systems, polynomial parameterization Um dennoch hohe Approximationsgüten über weite Frequenzbereiche zu gewährleisten, sind Mehrpunktverfahren wie complex frequency hopping (CFH) [2] und MehrpunktPadé-Approximation [3] vorgeschlagen worden. Nachteiat

show abstract

“…Schematic of the geometry, featuring two different dielectrics. Dimensions are given in[21].430O. Farle et al…”

mentioning

confidence: 99%

Multi-parameter polynomial order reduction of linear finite element models

Farle

Hill

Ingelström

et al. 2008

Mathematical and Computer Modelling of Dynamical Systems

View full text Add to dashboard Cite

In this paper we present a numerically stable method for the model order reduction of finite element (FE) approximations to passive microwave structures parameterized by polynomials in several variables. The proposed method is a projection-based approach using Krylov subspaces and extends the works of Gunupudi et al. (P. Gunupudi, R. Khazaka and M. Nakhla, Analysis of transmission line circuits using multidimensional model reduction techniques, IEEE Trans. Adv. Packaging 25 (2002), pp. 174-180) and Slone et al. (R.D. Slone, R. Lee and J.-F. Lee, Broadband model order reduction of polynomial matrix equations using single-point well-conditioned asymptotic waveform evaluation: derivations and theory, Int. J. Numer. Meth. Eng. 58 (2003), pp. 2325-2342). First, we present the multivariate Krylov space of higher order associated with a parameter-dependent righthand-side vector and derive a general recursion for generating its basis. Next, we propose an advanced algorithm to compute such a basis in a numerically stable way. Finally, we apply the Krylov basis to construct a reduced order model of the moment-matching type. The resulting single-point method requires one matrix factorization only. Numerical examples demonstrate the efficiency and reliability of our approach.

show abstract

Full-wave analysis of cavity-backed and probe-fed microstrip patch arrays by a hybrid mode-matching generalized scattering matrix and finite-element method

Cited by 42 publications

References 19 publications

Scattering from three-dimensional cavity-backed apertures in an infinite ground plane by RBCI

Scattering from three-dimensional cavity-backed apertures in an infinite ground plane by RBCI

Ordnungsreduktion linearer zeitinvarianter Finite-Elemente-Modelle mit multivariater polynomieller Parametrierung (Model Order Reduction of Linear Finite Element Models Parameterized by Polynomials in Several Variables)

Multi-parameter polynomial order reduction of linear finite element models

Contact Info

Product

Resources

About