Iterative On-Surface Discretized Boundary Equation Method for 2-D Scattering Problems

Tang, Fu-Sheng; Xu, Yun-Sheng

doi:10.1109/tap.2012.2208257

Cited by 2 publications

(2 citation statements)

References 12 publications

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“…First, denoting the coupling between the scattered and incident fields on the node "0" as f 0 [11], the following matrix equation is established and solved with a low coverage rate:…”

Section: Prior Parameter Extraction Methodsmentioning

confidence: 99%

A Prior Parameter Extraction Method for the Solution of Wide-Angle Electromagnetic Scattering Problems Based on Compressed Sensing

Wang¹,

Chen²,

Cao³

et al. 2021

PIER M

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A fast solution for electromagnetic scattering problems over a wide incident angle based on compressed sensing (CS) was proposed in recent years. Since current expansion coefficients are not known in advance, the parameters of this solution (e.g., the times of measurements, the selection of sparse transforms) for different scattering objects are difficult to determine. In order to solve this problem, this paper presents a prior parameter extraction method based on the principle of on-surface discretized boundary equation (OS-DBE), in which an approximate distribution of current expansion coefficients at any given point of the scatterer is first obtained with low-coverage and low-complexity, and then the prior parameters can be determined by CS tests for the approximate result. The implementation method is elaborated, and its effectiveness is verified by numerical results.

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“…First, denoting the coupling between the scattered and incident fields on the node "0" as f 0 [11], the following matrix equation is established and solved with a low coverage rate:…”

Section: Prior Parameter Extraction Methodsmentioning

confidence: 99%

A Prior Parameter Extraction Method for the Solution of Wide-Angle Electromagnetic Scattering Problems Based on Compressed Sensing

Wang¹,

Chen²,

Cao³

et al. 2021

PIER M

View full text Add to dashboard Cite

show abstract

“…To tackle the problem , Y. S. Xu proposed discretized boundary equation (DBE) method [10], which can obtain independent current at any interesting node on the object surface with a matrix of smaller order than that in the MoM. Subsequently, asymptotic waveform evaluation (AWE) was employed as a spatial sweep technique to avoid repeating calculations pointby-point for local electromagnetic scattering [11], and iterative OS-DBE (IT-OS-DBE) was proposed to further VOLUME XX, 2017 1 reduce the number of repeated calculations for smaller order matrix equation [12]. For electromagnetic problems with multiple incident angle excitations, there are some challenges to DBE method.…”

Section: Introductionmentioning

confidence: 99%

Fast Analysis of Local Current Distribution for Electromagnetic Scattering Problems of Electrically Large Objects

et al. 2020

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To improve computational efficiency of obtaining local induced current distribution under multiple incidents angles when electromagnetic scattering problems of electrically large objects are considered, a novel method is proposed to form small-scale impedance matrix and reduce number of repeated calculation for different incident angles, which is implemented by following three steps. Firstly, an undetermined matrix equation including multiple incident angles is constructed by interrelating part field nodes and all source nodes on object surface. Secondly, the undetermined matrix equation is transformed into a form that conforms to the compressive sensing (CS) framework, which is solved by reconstructed algorithm to obtain approximate induced currents of all source nodes under a wide incident angle range. Finally, exact wide-angle currents of a given node are obtained by calculating total magnetic field, and neighborhood wide-angle currents of the given node can be expanded by choosing appropriate technology in different boundary conditions. Numerical results of electrically large objects shown the efficiency of the proposed method.

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Iterative On-Surface Discretized Boundary Equation Method for 2-D Scattering Problems

Cited by 2 publications

References 12 publications

A Prior Parameter Extraction Method for the Solution of Wide-Angle Electromagnetic Scattering Problems Based on Compressed Sensing

A Prior Parameter Extraction Method for the Solution of Wide-Angle Electromagnetic Scattering Problems Based on Compressed Sensing

Fast Analysis of Local Current Distribution for Electromagnetic Scattering Problems of Electrically Large Objects

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