Fast monostatic radar cross section computation using Maehly approximation

Gong, Shuxi; Wang, W.-T.; Wang, X.; Zhang, Y.-J.

doi:10.1049/iet-smt.2009.0096

Cited by 5 publications

(6 citation statements)

References 14 publications

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“…This section shows RCS of several examples using Pade-Chebyshev approximation of Clenshaw-Lord type. In order to validate the effectiveness and applicability of the proposed scheme, the results are compared with conventional MoM, AWE technique [8] and Maehly type [16] because those methods predict surface currents at an arbitrary frequency in the desired frequency band like the proposed scheme. To quantify the accuracy of the calculation results, relative error (RE) is defined as…”

Section: Numerical Resultsmentioning

confidence: 99%

“…In previous papers [15,16,21], Maehly-type Pade approximation was used to obtain a rational function I Pade j (f ) from a Chebyshev polynomial, I j ( f ). If Maehly-type Pade approximation is used to obtain a rational function where the numerator and denominator are the Chebyshev polynomials of order M and N, respectively, the surface currents should be calculated at M + 2N sampling points because Chebyshev polynomial of order M + 2N is necessary.…”

Section: Chebyshev Approximationmentioning

confidence: 99%

“…Besides, rational function with Pade approximation is applied because the ripples in the curve using only Chebyshev polynomials may occur for complex structures. To obtain a rational function from Chebyshev polynomial, Maehly approximation was used [15][16][17]. However, this is inefficient because the exact results at 2M + N sampling points are required to derive the rational function whose denominator and numerator consist of M and N order of Chebyshev polynomials.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Jeong¹,

Hong

Chun³

et al. 2016

IET Microwaves, Antennas & Propagation

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Pade–Chebyshev approximation of Clenshaw–Lord type with method of moments is proposed for wide‐band analysis of an arbitrary‐shaped perfect electric conductor structure. Moreover, various Chebyshev polynomials, such as first, third, and fourth kinds, are used to express the singular points in the graph to display the expected result for scattering characteristics. The proposed algorithm has a wide radius of convergence due to the use of Chebyshev polynomials and improves calculation speed because Clenshaw–Lord‐type Pade approximation requires fewer sampling points than Maehly‐type Pade approximation in the derivation of the rational function. The results of the proposed method agree very well with the exact solution and reveal its possibility of obtaining more accurate solution than the asymptotic waveform evaluation technique.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Chebyshev Approximationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Jeong¹,

Hong

Chun³

et al. 2016

IET Microwaves, Antennas & Propagation

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show abstract

“…The coefficients of Chebyshev series are then matched via the Maehly approximation to a rational function in order to improve the accuracy of the numerical solution. The rational function obtained can be used as the best uniform rational approximation [23,24]. There is no need to store and solve the high derivatives of impedance and excitation matrix.…”

Section: Introductionmentioning

confidence: 99%

Fast and accurate analysis of broadband RCS using method of moments with loop‐tree basis functions

Dong

Gong

Zhang

et al. 2015

IET Microwaves, Antennas & Propagation

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An efficient method for wide-band electromagnetic (EM) scattering properties analysis of three-dimensional arbitrarily shaped perfectly electric conductor (PEC) objects is proposed in this study. The electric field integral equation (EFIE) is solved by the method of moments (MoM) base on the loop-tree basis functions. The EM properties not only can be achieved accurately in high frequency band, but also in low frequency band within the desired bandwidth using loop-tree basis functions. To improve the computation efficiency, the Maehly approximation method is utilised. Compared with the direct solution method and asymptotic waveform evaluation technique, the proposed technique is found to be efficient in a broadband and wide angular domain with the lower central processing unit time required and without loss of accuracy.

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“…Conformal FDTD-based methods have also appeared in literature [6]. Recently, some variants of MoM have been developed for monostatic RCS formulation [7,8] and other scattering related problems [9]. These methods do not depend on the geometry and can be used for any arbitrary shaped objects.…”

Section: Introductionmentioning

confidence: 99%

Radar Cross-Section Formulation of a Shell-Shaped Projectile Using Modified PO Analysis

Zaman

Matin

2012

Modelling and Simulation in Engineering

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A physical optics based method is presented for calculation of monostatic Radar Cross-Section (RCS) of a shell-shaped projectile. The projectile is modeled using differential geometry. The paper presents a detailed analysis procedure for RCS formulation using physical optics (PO) method. The shortcomings of the PO method in predicting accurate surface current density near the shadow boundaries are highlighted. A Fourier transform-based filtering method is proposed to remove the discontinuities in the approximated surface current density. The modified current density is used to formulate the scattered field and RCS. Numerical results are presented comparing the proposed method with conventional PO method. The results are also compared with published results of similar objects and found to be in good agreement.

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Fast monostatic radar cross section computation using Maehly approximation

Cited by 5 publications

References 14 publications

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

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

Fast and accurate analysis of broadband RCS using method of moments with loop‐tree basis functions

Radar Cross-Section Formulation of a Shell-Shaped Projectile Using Modified PO Analysis

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