Finite difference solution of EM fields by asymptotic waveform techniques

Li, M.; Zhang, Q.-J.; Nakhla, M.

doi:10.1049/ip-map:19960749

Cited by 9 publications

(4 citation statements)

References 17 publications

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“…Microwave devices have been successfully analysed by various numerical methods [1][2][3][4]. Among them, the finite element method (FEM) may be the most suitable due to its ability to model complex geometric and material features.…”

Section: Introductionmentioning

confidence: 99%

Analysing microwave devices using a symmetric coupling of finite and boundary elements

Lee

Vouvakis

Zhao

et al. 2005

Int. J. Numer. Meth. Engng

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SUMMARYThis paper presents a symmetric coupling between the finite element and boundary element methods for analysing open microwave devices. The proposed finite element boundary element (FEBE) method is based on the E-field vector Helmholtz equation. Second-order hierarchical Curl-conforming vector finite elements over tetrahedrons are used to discretize the interior region. The boundary element (BE) truncation surface is discretized with the second-order divergence-conforming surface elements with triangular support. The symmetry of the BE part is restored through the application of the Calderon-projector. Moreover, the BE computations are accelerated using a single level QR algorithm. This reduces both memory and computational time. The resulted symmetric system of equations is solved with a very efficient preconditioned conjugate gradient (PCCG) method with a p-multiplicative Schwarz (pMUS) preconditioner.

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Section: Introductionmentioning

confidence: 99%

Analysing microwave devices using a symmetric coupling of finite and boundary elements

Lee

Vouvakis

Zhao

et al. 2005

Int. J. Numer. Meth. Engng

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“…The AWE method was initially presented in circuits' exploration [12]. Its solicitations in the frequency-domain FEM and MoM have been presented lately [13]- [15].…”

Section: Fast Curve Methodsmentioning

confidence: 99%

Internet Data Bandwidth Optimization and Prediction in Higher Learning Institutions Using Lagrange’s Interpolation: A Case of Lagos State University of Science and Technology

2023

CEIS

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Episodic edifices have a diversity of significant solicitations in contemporary machineries and engineering owing to their exclusive electromagnetic properties. Frequently used episodic edifices comprise; occurrence selective surfaces, visual grilles, phased collection projections, photonic bandgap supplies, and numerous metamaterials. The scrutiny of episodic edifices has all the time been a significant area in computational electromagnetics. This episode, describes a precise and effectual arithmetical study, grounded on a higher-order finite element method (FEM), for depicting the electromagnetic properties of an episodic edifices. Grounded on the Floquet theory, episodic frontier conditions and radioactivity conditions are foremost resultant for the unit cell of an episodic edifice. The FEM is formerly applied to unravel Maxwell's reckonings in the unit cell. To augment the precision and effectiveness of the FEM, rounded elements are employed to discretize the unit cell and higherorder course basis functions are used to enlarge the electrical arena. The asymptotic waveform evaluation (AWE) is applied to implement wild frequency and rawboned curves. To prove the proficiency of the projected FEM, we apply it to the scrutiny of episodic absorbers, incidence selective edifices, and phased collection aerial. For the aerial analysis, a severe waveguide port condition is industrialized to precisely model the aerial feed edifices. In all the occurrences premeditated, acceptable outcomes are obtained. IntroductionEpisodic edifices have been widely used in electromagnetic engineering. The periodicity in the geometry is habitually subjugated to attain certain desired electromagnetic properties, such as incidence selective performances, which are not attainable in the case of a single component. Numerous heat and visual strategies, such as anechoic compartment absorbers, incidence selective edifices, and phased collection projections, fall into this kind. Arithmetical scrutiny of episodic edifices has been accepted with a diversity of arithmetical approaches, such as the moment technique, the finiteelement method (FEM), and the finite-difference timedomain (FDTD) method. Midst these approaches, the FEM surpasses with demonstrating complex geometry and substantial inhomogeneity. The technique is also adaptable in its capacity to integrate diverse kinds of frontier conditions and diverse excitation approaches deprived of suggestively affecting its structure. The FEM modeling of episodic edifices has been described in prose for mutually scattering [1]-[5] and radioactivity [6][8] scrutinizes. This episode, describes a vigorous, higher-order FEM formulation to perfect substantially episodic collection edifices. By means of imposing suitable radioactivity frontier conditions and episodic frontier conditions, the computation area is narrowed to a solitary unit cell in the immeasurable collection. The unit cell inner area is discretized by wavy tetrahedral rudiments for an improved geometry modeling. The electromagnetic arena is...

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“…The more powerful and generally applicable fast frequency sweeping techniques are mathematical based, such as the model-based parameter extraction (MBPE) [5], [6], the asymptotic waveform evaluation (AWE) [7]- [9], the Padé via Lanczos (PVL) [10]- [13], and the solution space projection (SSP) [14]- [16] methods. These methods employ mathematical functions such as rational functions to expand the frequency response of an RF circuit and then determine the expansion coefficients based on a full-wave numerical analysis at sampling frequencies.…”

Section: Fast Frequency Sweep Analysis Of Passive Miniature Rf Circuits Based On Analyticmentioning

confidence: 99%

Fast Frequency Sweep Analysis of Passive Miniature RF Circuits Based on Analytic Extension of Eigenvalues

Jin

Jachowski³

et al. 2021

IEEE Trans. Microwave Theory Techn.

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A fast frequency sweep approach based on analytic extension of eigenvalues (AEE) is presented and investigated for an efficient analysis of miniature passive RF circuits. In this approach, an eigenvalue decomposition is performed to the Z-parameters of the circuit components at one or a few frequencies, and analytic extension is applied to obtain the eigenvalues at all other frequencies within the band of interest. For electrically small circuit components, the frequencyindependent characteristic inductances and capacitances, as well as the frequency-dependent resistances, are extracted from the eigenvalues at the sampling frequencies. The extracted characteristic parameters are then used to approximate the Z-and Y-parameters and predict the responses of the circuit over the entire frequency band. The accuracy of this approach is evaluated by comparing it with the results from a full-wave analysis. It is found that the proposed AEE is very accurate with a relative error of less than 1% for miniature RF circuits whose electrical sizes are smaller than one tenth of the wavelength and is more general and powerful than the one based on lumped equivalent circuits.

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Finite difference solution of EM fields by asymptotic waveform techniques

Cited by 9 publications

References 17 publications

Analysing microwave devices using a symmetric coupling of finite and boundary elements

Analysing microwave devices using a symmetric coupling of finite and boundary elements

Internet Data Bandwidth Optimization and Prediction in Higher Learning Institutions Using Lagrange’s Interpolation: A Case of Lagos State University of Science and Technology

Fast Frequency Sweep Analysis of Passive Miniature RF Circuits Based on Analytic Extension of Eigenvalues

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