Fast computation of wideband RCS using characteristic basis function method and asymptotic waveform evaluation technique

Sun, Yufa; Du, Yifeng; Shao, Yunfeng

doi:10.1007/s11767-011-0351-0

Cited by 8 publications

(8 citation statements)

References 10 publications

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“…The PCBFs of block i can be obtained by directly solving Eq. (6). After the PCBFs of each block are solved, according to Foldy-Lax equation theory [14][15][16], the SCBFs on a block are calculated by replacing the incident field with the scattered fields due to the PCBFs on all blocks except from itself.…”

Section: Improved Ultra-wide Characteristic Basis Function Methodsmentioning

confidence: 99%

“…The AWE technique can hardly deal with wide band electromagnetic scattering problems from electrically large objects or multi-objects because it requires MoM matrix inversion at a central frequency. Hence, in [6] and [7], the AWE technique based on the characteristic basis function method (CBFM) [8,9] is proposed to analyze wide band electromagnetic scattering problems. Although this method avoids solving the MoM matrix using iterative methods, it uses the mutual coupling method to generate characteristic basis functions (CBFs), which is time consuming and memory demanding.…”

Section: Introductionmentioning

confidence: 99%

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Solution for Wide Band Scattering Problems by Using the Improved Ultra-Wide Band Characteristic Basis Function Method

Nie¹,

Wang²

2016

PIER Letters

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Abstract-The ultra-wide band characteristic basis function method (UCBFM) is an efficient approach for analyzing wide band scattering problems because ultra-wide characteristic basis functions (UCBFs) can be reused for any frequency sample in the range of interest. However, the errors of the radar cross section calculated by using the UCBFs are usually large at low frequency points. To mitigate this problem, an improved UCBFM is presented. Improved UCBFs (IUCBFs) are derived from primary characteristic basis functions and secondary level characteristic basis functions (SCBFs) by applying a singular value decomposition procedure at the highest frequency point. This method fully considers the mutual coupling effects among sub-blocks to obtain the SCBFs. Therefore, the accuracy is improved at lower frequency points because of the higher quantity of current information contained in the IUCBFs. Numerical results demonstrate that the proposed method is accurate and efficient.

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Section: Improved Ultra-wide Characteristic Basis Function Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Solution for Wide Band Scattering Problems by Using the Improved Ultra-Wide Band Characteristic Basis Function Method

Nie¹,

Wang²

2016

PIER Letters

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“…However, all these methods are based on iterative schemes. Although the combinations of CBFM with AWE and frequency‐independent reaction avoid iterative process for solving the MoM matrix in analyzing the wideband scattering problems, 9,10 they still reconstruct characteristic basis functions (CBFs) at each sampling frequency point with an unacceptable time consumption. Additionally, in ref.…”

Section: Introductionmentioning

confidence: 99%

Fast analysis of wideband scattering problems using universal characteristic mode basis functions

Wang

Sun

et al. 2022

Micro & Optical Tech Letters

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The ultra‐wideband characteristic basis function method (UCBFM) is known as an effective technique for analyzing the wideband scattering problems, where the ultra‐wideband characteristic basis functions (UCBFs) can be reused for any sampling frequency in the range of interest. However, these UCBFs need to be constructed via an external excitation source, and the number of UCBFs is generally large for the increasing size of target, which leads to an increased size of the reduced matrix. To mitigate these problems, a universal characteristic mode basis function method (UCMBFM) is proposed in this study. Unlike the existing UCBFM, the construction of universal characteristic mode basis functions (UCMBFs) proposed in this study are only dependent on the impedance matrix, which is essentially determined by the material and shape of objects. Therefore, these UCMBFs are independent of frequency and can be reused at lower frequency band. Moreover, in proposed scheme, the number of UCMBFs and the size of reduced matrix are both less, when compared to traditional UCBFM. Finally, the corresponding numerical results demonstrate that efficiency and accuracy can be achieved by the proposed method.

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“…Recently, the Chebyshev approximation technique (CAT) is present to interpolate the frequency response by the Chebyshev polynomials [13]- [17]. Among the above techniques, the AWE is quite popular and applicable to the CBF and MoM its fast solvers [18]- [21]. However, the high-order derivative impedance matrices require to be calculated and stored first, which make the procedure difficult to implement and leads a lot of memory costs.…”

Section: Introductionmentioning

confidence: 99%

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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Fast computation of wideband RCS using characteristic basis function method and asymptotic waveform evaluation technique

Cited by 8 publications

References 10 publications

Solution for Wide Band Scattering Problems by Using the Improved Ultra-Wide Band Characteristic Basis Function Method

Solution for Wide Band Scattering Problems by Using the Improved Ultra-Wide Band Characteristic Basis Function Method

Fast analysis of wideband scattering problems using universal characteristic mode basis functions

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

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