Fast scattering analysis over a wide frequency band using Clenshaw–Lord‐type Pade–Chebyshev approximation

Jeong, Yi Ru; Hong, Ic‐Pyo; Chun, Hye‐Yeong; Park, Yong Bae; Kim, Yoon Jae; Yook, Jong Gwan

doi:10.1049/iet-map.2014.0488

Cited by 4 publications

(1 citation statement)

References 23 publications

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“…It is important to develop a numerical technique for the efficient analysis of this structure. A surface electric field integral equation (EFIE) is generally used for analysing PEC structures [1]. If a dielectric layer is very thin compared with the wavelength, it can be replaced by a thin dielectric sheet (TDS).…”

Section: Introductionmentioning

confidence: 99%

Application of a CMP to an EFIE–TDS surface integral equation

Jeong

Hong

Yook

2018

IET Microwaves, Antennas & Propagation

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Convergence rates of coupled electric field integral equation (EFIE) and thin dielectric sheet (TDS) surface integral equation is improved using a Calderon multiplicative preconditioner (CMP) for efficient analysis of densely discretised structures comprising perfect electric conductors and thin dielectric layers. When relative permittivity of the thin dielectric layer is not high, the integral operator for the TDS tends to have fast convergence rate than that of the EFIE because the TDS is derived from a volume EFIE that is well‐posed. However, the integral operator for the EFIE is both unbounded and ill‐posed when it is applied to densely discretised surfaces. Thus, the coupled EFIE and TDS integral equation have a slow convergence rate in an iterative solver. The proposed method shows fast convergence rate by application of the CMP to the EFIE–TDS. As a result, an iteration number in the iterative solver is reduced in the proposed method.

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Section: Introductionmentioning

confidence: 99%

Application of a CMP to an EFIE–TDS surface integral equation

Jeong

Hong

Yook

2018

IET Microwaves, Antennas & Propagation

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Efficient RCS Computation Over a Broad Frequency Band Using Subdomain MoM and Chebyshev Approximation Technique

et al. 2020

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The analysis of the target's broadband electromagnetic scattering characteristics plays an important role in radar stealth and recognition areas. The traditional method of moments (MoM) needs to calculate the currents at each frequency point when analyzing the target. With the increase of the target electrical size and complexity, the radar cross section (RCS) of the target changes drastically with frequency, it is necessary to calculate the accurate frequency response with a small frequency interval, which is very time-consuming in calculation and not feasible. This paper proposes to combine the subdomain method of moments (SMoM) with the Chebyshev approximation technique (CAT) to efficiently analyze the electromagnetic scattering of arbitrary shaped objects over a broad frequency band. In the SMoM technique, the whole object can be divided into several regions, each of which can be independently solved by the method of moments (MoM). The CAT technique is employed to expand the unknown current coefficients into a Chebyshev series for achieving fast frequency sweeping. Instead of direct point-by-point simulations, it is only necessary to calculate the currents by SMoM at several Chebyshev-Gauss frequency sample points. Furthermore, the Chebyshev series are matched via the Maehly approximation to a rational function to improve the accuracy. Numerical examples show that the hybrid technique can greatly reduce the computation time without loss of accuracy. INDEX TERMS Method of moments (MoM), Chebyshev approximation technique (CAT), hybrid analysis, fast frequency sweeping, Maehly approximation.

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A Combined Asymptotic Waveform Evaluation and Random Auxiliary Sources Method for Wideband Solutions of General-Purpose EM Problems

Hassan

Kishk

2019

IEEE Trans. Antennas Propagat.

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Fast scattering analysis over a wide frequency band using Clenshaw–Lord‐type Pade–Chebyshev approximation

Cited by 4 publications

References 23 publications

Application of a CMP to an EFIE–TDS surface integral equation

Application of a CMP to an EFIE–TDS surface integral equation

Efficient RCS Computation Over a Broad Frequency Band Using Subdomain MoM and Chebyshev Approximation Technique

A Combined Asymptotic Waveform Evaluation and Random Auxiliary Sources Method for Wideband Solutions of General-Purpose EM Problems

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