Fast frequency sweep technique for the efficient analysis of dielectric waveguides

Polstyanko, S.; Dyczij‐Edlinger, Romanus; Lee, Jin‐Fa

doi:10.1109/22.598450

Cited by 70 publications

(40 citation statements)

References 17 publications

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“…The computation of any cost function must be repeated at discrete frequency points or sorne other method found that builds a frequency response of the cost function for a desired range [36][37][38][39][40]. …”

Section: The Cost Functionmentioning

confidence: 99%

Accuracy control in the optimization of microwave devices by finite-element methods

Gavrilovic¹,

Webb

2002

IEEE Trans. Microwave Theory Techn.

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Section: The Cost Functionmentioning

confidence: 99%

Accuracy control in the optimization of microwave devices by finite-element methods

Gavrilovic¹,

Webb

2002

IEEE Trans. Microwave Theory Techn.

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“…The asymptotic waveform evaluation (AWE) method provides a reduced-order model and has already been successfully used in various electromagnetic and circuit applications [1]- [6]. These applications dealt with frequency extrapolation implementations.…”

Section: Formulationmentioning

confidence: 99%

Fast RCS pattern fill using AWE technique

Erdemli

Gong

Reddy

et al. 1998

IEEE Trans. Antennas Propagat.

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An extrapolation technique is adapted to predict the monostatic radar cross-section (RCS) pattern from a few pattern value calculations. This approach eliminates a need to resolve the system when an iterative solver is employed. A three-dimensional application is considered to demonstrate the accuracy of the technique.Index Terms-Angular extrapolation, electromagnetic scattering, Padè approximation. I. FORMULATIONThe asymptotic waveform evaluation (AWE) method provides a reduced-order model and has already been successfully used in various electromagnetic and circuit applications [1]- [6]. These applications dealt with frequency extrapolation implementations. In this letter, we present a new implementation of AWE for rapid monostatic scattering pattern fill calculations when an iterative solver is employed.On the basis of AWE, a Taylor series expansion is generated about a specific value of the system parameter (frequency, angle, etc.). The Taylor coefficients or moments are then used to extract poles of the system yielding a rational function (Padè approximation) of the system parameter. Padè representations have a larger circle of convergence and can therefore provide a broader extrapolation when compared to Taylor series representations. Below we describe the implementation of AWE in connection with method of moment (MoM) systems for computing monostatic patterns using only a few angular points.A usual form of the MoM system iswhere V m (k; ; ) = T m 1 E inc (k; ; ) ds (1b) and I n refer to the summation coefficients of the current density expansion weighted by the subsectional basis function T n (r). Among the other parameters, Zmn(k) represents the weighted integral used for generating the matrix, fV m (k; ; )g is the excitation vector, and E inc (k; ; ) denotes the external incident field excitation. Also, k is the free-space wave number and (; ) is the incidence angle. For monostatic pattern evaluations using a direct solver, an order of O(N 3 ) computational complexity is required to factorize the dense matrix [Zmn]. Additional O(N 2 ) computations are then needed for each right-hand side term. For iterative solvers, the entire solution must be repeated for each excitation. The proposed pattern fill procedure eliminates repetition of the iterative solutions altogether Manuscript received . Publisher Item Identifier S 0018-926X(98)08910-8. except for a few pattern points used as the expansion points of the extrapolation.To show how AWE can be applied, we assume that fI n (; )g has already been computed at a given direction ( 0 ; 0 ). A Taylor series expansion on (with constant) is then given by fI n ()g = fI n ( 0 )g + 1 q=1 M qwhere V (q) m (0) is the qth derivative of Vm() with respect to evaluated at 0 and we have dropped implied dependencies on and k. For plane wave excitations, the moments M q n can be trivially calculated and one could therefore increase the order of the expansion as needed to extend the validity of the approximation. This is better achieved by casting (2) into a Padè rational functi...

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“…The second approach to generate rational approximated function is the asymptotic waveform evaluation (AWE), which was originally developed for high-speed circuit analysis [13]. This AWE has been applied to the finite element and finite difference analysis of EM problem [14][15][16]. In [17,18], AWE has also been applied to MOM for solving scattering problem.…”

Section: Introductionmentioning

confidence: 99%

Application of rational function approximation technique to hybrid FE/BI/MLFMA for 3D scattering

Peng

Sheng

2007

Int J RF and Microwave Comp Aid Eng

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In this article, the rational function approximation technique (RFAT) is applied to the hybrid finite-element/boundary-integral/multilevel fast multipole algorithm (FE/BI/MLFMA) to acquire wide-band and wide-angle backscatter radar-cross-section (RCS) by complex targets. The two approaches of using the rational function approximation technique, asymptotic waveform evaluation (AWE) and model-based parameter estimation (MBPE), both have been investigated and compared by theoretical analysis and numerical experiments.

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Fast frequency sweep technique for the efficient analysis of dielectric waveguides

Cited by 70 publications

References 17 publications

Accuracy control in the optimization of microwave devices by finite-element methods

Accuracy control in the optimization of microwave devices by finite-element methods

Fast RCS pattern fill using AWE technique

Application of rational function approximation technique to hybrid FE/BI/MLFMA for 3D scattering

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