A Simplified Discontinuous Galerkin Self-Dual Integral Equation Formulation for Electromagnetic Scattering From Extremely Large IBC Objects

Huang, Xiao-Wei; Yang, Ming‐Lin; Sheng, Xin‐Qing

doi:10.1109/tap.2021.3137485

Cited by 16 publications

(3 citation statements)

References 20 publications

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Section: Introductionmentioning

confidence: 99%

Efficient EM Scattering Modeling from Metal Targets Coated with Anisotropic Thin Layers

Hua,

2024

Electronics

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To address the challenges posed by composite targets composed of an anisotropic medium and metal in electromagnetic (EM) scattering calculations, this paper introduces an innovative hybrid algorithm tailored for simulating the EM scattering characteristics of such complex targets. Utilizing impedance boundary condition (IBC), the method employs surface impedance vectors to precisely depict the EM properties of the medium. By harnessing the distinct advantages of the Method of Moments (MoMs) at low frequency and Physical Optics (POs) at high frequency, the algorithm ensures both accuracy and efficiency in the EM simulation of composite targets. By transforming the EM scattering problem of targets coated with a thin-layered medium into an equivalent radiation problem of EM currents on impedance surfaces, this research has achieved rapid and high-precision calculations of the Radar Cross Section (RCS) for complex targets with anisotropic medium coatings. To assess the performance of the algorithm, three target models—square plates, simplified aircraft, and complex satellites—are selected as test cases. The dual metrics of RCS and surface current distribution are utilized as evaluation benchmarks, and comparisons are made against the Method of Moments–Finite Element Method (MoM-FEM) hybrid numerical method. The comparative results demonstrate that the proposed method meets the engineering standards in terms of both the root mean square error (RMSE) of RCS and the relative error in surface current distribution, while also achieving a significant improvement of over 50% in computational efficiency, thereby validating its superior accuracy and practical utility.

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Section: Introductionmentioning

confidence: 99%

Efficient EM Scattering Modeling from Metal Targets Coated with Anisotropic Thin Layers

Hua,

2024

Electronics

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“…This model obviates the need to calculate the specific distribution of the internal fields within the medium, bypassing challenges associated with deriving and computing Greenʹs functions in complex dielectric coating structures. Consequently, it enables the rapid resolution of scattering problems and has found extensive application in the EM scattering studies of targets with diverse dielectric coatings or coverings [5][6][7]. 2 In the microwave frequency range where radar operates, common targets such as missiles and aircraft, featuring anisotropic material coatings and complex geometries, often exhibit large-scale scattering characteristics.…”

Section: Introductionmentioning

confidence: 99%

Efficient Electromagnetic Scattering Modeling from Composite Dielectric-Metal Targets

Hua,

2023

Preprint

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To address the challenges associated with the difficult electromagnetic (EM) scattering computations of anisotropic dielectric-coated metallic composite targets, we proposed an efficient hybrid algorithm for simulating the EM scattering of complex targets with anisotropic dielectric coatings. This method, based on Impedance Boundary Condition (IBC), utilizes surface impedance vectors to describe the EM properties of the dielectric. It fully leverages the respective advantages of the low-frequency Method of Moments (MoM) and the high-frequency Physical Optics (PO) to achieve high-precision and rapid EM simulation of anisotropic dielectric-coated metallic composite targets. Employing boundary conditions and equivalent principles, we equivalently transform the EM scattering problem of targets with thin dielectric coatings into the radiation problem of equivalent EM current on impedance surfaces. This enables the high-precision and rapid calculation of Radar Cross Sections (RCS) for complex targets with anisotropic dielectric coatings. Using examples such as a square plate structure, a simplified aircraft, and a complex satellite model, the simulation results exhibit a high degree of agreement with full-wave numerical solutions and demonstrate a significant advantage in computational resources. This research convincingly demonstrates the accuracy and effectiveness of the proposed method.

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“…Using this ternary strategy, together with the auxiliary-tree-based parallel mesh refinement technique and a hybrid octree storage strategy, electromagnetic scattering by extremely large objects with dimensions exceeding 10 thousand wavelengths and over 10 billion unknowns was solved, representing the largest number of unknowns to be solved and publicly reported via MLFMA to date. The ternary parallelization approach was further developed by incorporating a discontinuous Galerkin (DG) framework [31] and later extended to accelerate the solution of the DG-based self-dual integral equation method for objects with impedance boundary conditions (IBCs) [32].…”

Section: Introductionmentioning

confidence: 99%

Massively Parallel Multilevel Fast Multipole Algorithm for Extremely Large-Scale Electromagnetic Simulations: A Review

He¹,

Huang²,

Yang³

et al. 2022

PIER

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Since the first working multilevel fast multipole algorithm (MLFMA) for electromagnetic simulations was proposed by Chew's group in 1995, this algorithm has been recognized as one of the most powerful tools for numerical solutions of extremely large electromagnetic problems with complex geometries. It has been parallelized with different strategies to explore the computing power of supercomputers, increasing the size of solvable problems from millions to tens of billions of unknowns, thereby addressing the crucial demand arising from practical applications in a sense. This paper provides a comprehensive review of state-of-the-art parallel approaches of the MLFMA, especially on a newly proposed ternary parallelization scheme and its acceleration on graphics processing unit (GPU) clusters. We discuss and numerically study the advantages of the ternary parallelization scheme and demonstrate its flexibility and efficiency.

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A Simplified Discontinuous Galerkin Self-Dual Integral Equation Formulation for Electromagnetic Scattering From Extremely Large IBC Objects

Cited by 16 publications

References 20 publications

Efficient EM Scattering Modeling from Metal Targets Coated with Anisotropic Thin Layers

Efficient EM Scattering Modeling from Metal Targets Coated with Anisotropic Thin Layers

Efficient Electromagnetic Scattering Modeling from Composite Dielectric-Metal Targets

Massively Parallel Multilevel Fast Multipole Algorithm for Extremely Large-Scale Electromagnetic Simulations: A Review

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