Efficient Wideband Electromagnetic Scattering Computation for Frequency Dependent Lossy Dielectrics Using WCAWE

Bradley, Patrick J.; Brennan, Conor; Condon, Marissa

doi:10.1109/tap.2009.2028591

Cited by 13 publications

(7 citation statements)

References 21 publications

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“…To fully illustrate the capability of the MDWCAWE, the frequency and angular response of the MDWCAWE compared against the MoM solution is given in Figure 3 while the associated % relative error is illustrated in Figure 4. In order to achieve a wider bandwidth, a balance must be struck between using more moments albeit at an rapidly increasing computational cost or implementing a multipoint approach where additional expansion points are placed over the frequency and angular domains [18]. The total CPU times for MWCAWE compared against the MoM in shown in Table 1, which demonstrate the capability of this approach.…”

Section: Numerical Results and Validationsmentioning

confidence: 99%

“…Additionally, automated error controls are outlined in [17,18] that can be used to determine the number of moment required such that the approximate solution can converge to a pre-specified tolerance.…”

Section: Formulation Of the Multi-dimensional Reduced Order Modelmentioning

confidence: 99%

“…To account for these frequency dependant variations we fit a thirdorder polynomial to the individual dielectric properties resulting in an analytical expression independently fitted for both the real and imaginary permittivity of the form [18] (f ) = a f…”

Section: Recursive Formulation Of the Matrix Derivativesmentioning

confidence: 99%

See 2 more Smart Citations

Novel Multi-Dimensional Wcawe Technique for the Efficient Calculation of RCS

Bradley¹

2013

PIER B

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Abstract-In this paper, a novel moment-matching reduced order model technique termed the multi-dimensional well-conditioned asymptotic waveform evaluation (MDWCAWE) method is presented. The MDWCAWE method can be used to efficiently determine the radar cross section (RCS) of arbitrarily shaped objects, in both the frequency and angular domains simultaneously. Numerical results are given in order to demonstrate the accuracy and robustness of the MDWCAWE method. All scattering problems investigated in this work are formulated using the two-dimensional volume-surface electric field integral equation (EFIE). We consider problems involving scattering from both dielectric dispersive and conducting objects.

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Section: Numerical Results and Validationsmentioning

confidence: 99%

Section: Formulation Of the Multi-dimensional Reduced Order Modelmentioning

confidence: 99%

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Novel Multi-Dimensional Wcawe Technique for the Efficient Calculation of RCS

Bradley¹

2013

PIER B

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“…Many model order reduction techniques such as modal expansion [16], asymptotic waveform evaluation [17,18], Padé via Lanczos model reduction [19], and the Krylov subspace method [20] have been proposed for combination with the brute force approaches to reduce the complexity of the involved models. Another numerical technique, called the reduced-basis method (RBM), was originally introduced in [21,22] whereby the approximate space, which was used to reduce the dimension of the original model obtained by brute force methods, was local and typically low-dimensional in the number of parameters.…”

Section: Introductionmentioning

confidence: 99%

Reduced-basis boundary element method for fast electromagnetic field computation

et al. 2017

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In this work, we combine conventional boundary element method (BEM) with the reduced-basis method (RBM) and propose a reduced-basis boundary element method (RB-BEM) to realize efficient modeling for parameterized electromagnetic scattering problems of dielectric scatterers. The RB-BEM allows for splitting the modeling process into a parameter-independent offline part and parameter-dependent online part, and replacing the high-dimensional original model obtained by conventional BEM with a low-dimensional reduced-basis model to improve computational efficiency of the online part. We also propose an improved greedy algorithm based on multi-grid to improve the computational efficiency of the offline part. The numerical experiments indicate that the efficiency of the improved greedy algorithm is several times higher than that of the standard one, and the solving efficiency of the reduced-basis model is several times to dozens of times higher than that of the original model with a prescribed approximation accuracy.

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“…However, these techniques are restricted to problems of relatively low frequencies and low contrast [9,10]. Algorithms based on model order reduction have, to date, been typically applied to the problem of solving scattering or circuit problems over a wide frequency range [12,13]. These techniques produce a reduced-order model which approximates the behaviour of the original system.…”

Section: Introductionmentioning

confidence: 99%

Efficient computation of electromagnetic wave scattering for inhomogeneous bodies using a model order reduction approach

Bradley

Brennan

Condon

2011

IET Microw. Antennas Propag.

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This study presents a model order reduction algorithm for the volume integral equation formulation of electromagnetic wave scattering. The authors apply the Arnoldi algorithm to circumvent the computational complexity associated with the repeated solution of the forward electromagnetic scattering problem for varying material parameters. The authors discuss practical implementation issues regarding procedures for the implementation and termination of the Arnoldi iteration. An approximate extension of the Arnoldi algorithm to the problem of wave scattering from an inhomogeneous body is introduced and implemented. This approximation is shown to be exact in the limit as the level of reduction approaches zero. Numerical examples are presented which demonstrate the accuracy and efficiency of their approximate extension.

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Efficient Wideband Electromagnetic Scattering Computation for Frequency Dependent Lossy Dielectrics Using WCAWE

Cited by 13 publications

References 21 publications

Novel Multi-Dimensional Wcawe Technique for the Efficient Calculation of RCS

Novel Multi-Dimensional Wcawe Technique for the Efficient Calculation of RCS

Reduced-basis boundary element method for fast electromagnetic field computation

Efficient computation of electromagnetic wave scattering for inhomogeneous bodies using a model order reduction approach

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