Efficient electromagnetic analysis of a doubly infinite array of rectangular apertures

Mathis, A.W.; Peterson, Andrew F.

doi:10.1109/22.654921

Cited by 29 publications

(19 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Function can be a field component, but also any EM quantity linearly related to the fields (potentials, surface currents, etc.) Therefore, if represents the free-space GF or the GF without periodic BCs, the GF of a periodic structure can be written as (14) where and .…”

Section: A Image Formulationmentioning

confidence: 99%

“…Let and be the vectors of the reciprocal lattice defined by (15) Applying the Poisson 2-D summation formula to (14), one obtains the modal formulation of the periodic GF (16) where represents the surface of the unit cell, is the translation vector of the reciprocal lattice, , and . If the periodic structure is in free space, we have the following Fourier transformation pair: (17) and the required GFs are and for electric scalar and magnetic vector potentials, and and for magnetic scalar and electric vector potentials, respectively.…”

Section: B Modal Formulationmentioning

confidence: 99%

See 1 more Smart Citation

Integral-Equation Analysis of 3-D Metallic Objects Arranged in 2-D Lattices Using the Ewald Transformation

Stevanović

Crespo-Valero

Blagovic

et al. 2006

IEEE Trans. Microwave Theory Techn.

View full text Add to dashboard Cite

Abstract-We present a space-domain integral-equation method for the analysis of periodic structures formed by three-dimensional (3-D) metallic objects arranged in a general skewed two-dimensional lattice. The computation of the space-domain Green's function is accelerated using the Ewald transformation. The method is validated on several periodic structures ranging from planar frequency-selective surfaces to 3-D photonic crystals and metamaterials. For these structures, our technique shows a clear advantage in terms of computational speed when compared with available commercial softwares.Index Terms-Frequency-selective surfaces (FSSs), Green's functions (GFs), integral equations (IEs), metamaterials, periodic structures, photonic-bandgap (PBG) materials.

show abstract

Section: A Image Formulationmentioning

confidence: 99%

Section: B Modal Formulationmentioning

confidence: 99%

Integral-Equation Analysis of 3-D Metallic Objects Arranged in 2-D Lattices Using the Ewald Transformation

Stevanović

Crespo-Valero

Blagovic

et al. 2006

IEEE Trans. Microwave Theory Techn.

View full text Add to dashboard Cite

show abstract

“…In the literature, three types of entire domain basis functions are widely used to expand the patch currents. While, the first two types of basis functions involve a set of sinusoidal cavity modes without edge conditions (sbf-wo-ec) [9,10] and with edge conditions (sbf-w-ec) [10], and in order to incorporate the edge conditions (cp-ec), the third one consists of Chebyshev polynomials combinations with weighting factors [11]. The accuracy of these theoretical results has been compared with electromagnetic simulations using HFSS and CST softwares and with previous published works.…”

Section: Introductionmentioning

confidence: 99%

“…RPRs have been studied extensively using rigorous full-wave analysis and various types of current expansion functions [2][3][4]. The proposed theoretical analysis is based on the Method of Moment (MoM) which is considered as a standard procedure to solve problems [5][6][7][8] such as the fundamental quantity of interest, namely the electric current distribution on the patch surface, from which all the other required resonator parameters can be obtained [2][3][4][5][6][7][8][9]. In the literature, three types of entire domain basis functions are widely used to expand the patch currents.…”

Section: Introductionmentioning

confidence: 99%

Theoretical and Experimental Evaluation of Superstrate Effect on Rectangular Patch Resonator Parameters

Aouabdia¹,

Belhadj-Tahar²,

Alquié³

et al. 2011

PIER B

View full text Add to dashboard Cite

Abstract-In this paper, modeling and experimentation of a Rectangular Patch Resonator (RPR) covered with a dielectric superstrate are investigated.The RPR criteria are established theoretically and experimentally, to be used in future prospects as an electromagnetic (EM) sensor for the characterization of superstrates. The theoretical model is based on the moment method (MoM) via Galerkin's approach, in which three types of basis and testing functions are used. These functions as well as the spectral dyadic Green function are efficiently implanted with compact structured Fortran 90 codes. The EM commercial HFSS and CST Microwave Studio softwares are used to simulate the proposed RPR prototypes. The accuracy of the obtained results is assessed using four prototypes of RPRs operating around 6 GHz, taking into account only the resonant frequency of the fundamental dominant mode. The theoretical model is compared to simulation and measurement results, and very good agreements are observed.

show abstract

“…Compared to the other acceleration techniques, Ewald method converges fastest (Gaussian convergence) and is the most accurate when the observation point gets close to the sources. Recently, space-domain integralequation method [13,14] and hybrid finite-element/boundary-integral (FE/BI) method [15], using the Ewald transformation to accelerate the convergence of PGF, have been applied to analysis of three-dimensional doubly periodic structures based on arbitrary non-orthogonal lattice configurations.…”

Section: Introductionmentioning

confidence: 99%

Integral-Equation Analysis of Frequency Selective Surfaces Using Ewald Transformation and Lattice Symmetry

Su¹,

Xu²,

He³

et al. 2011

PIER

View full text Add to dashboard Cite

Abstract-In this paper, we present the space-domain integralequation method for the analysis of frequency selective surfaces (FSS), consisting of an array of periodic metallic patches or a metal screens perforated periodically with arbitrarily shaped apertures. The computation of the spatial domain Green's function is accelerated by the Ewald transformation. The geometric model is simplified by the lattice symmetry, so that the unknowns are greatly reduced. Time of filling MOM matrix and solving linear system is dramatically reduced. Our technique shows much higher efficiency when compared with the available commercial software and the existing methods published.

show abstract

Efficient electromagnetic analysis of a doubly infinite array of rectangular apertures

Cited by 29 publications

References 29 publications

Integral-Equation Analysis of 3-D Metallic Objects Arranged in 2-D Lattices Using the Ewald Transformation

Integral-Equation Analysis of 3-D Metallic Objects Arranged in 2-D Lattices Using the Ewald Transformation

Theoretical and Experimental Evaluation of Superstrate Effect on Rectangular Patch Resonator Parameters

Integral-Equation Analysis of Frequency Selective Surfaces Using Ewald Transformation and Lattice Symmetry

Contact Info

Product

Resources

About