Accurate Evaluation of Green's Functions for a Lossy Layered Medium by Fast Extraction of Surface- and Leaky-Wave Modes

Song, Zhe; Zhou, Haibo; Zheng, Kai-Lai; Hu, Jun; Li, Weidong; Wang, Hong

doi:10.1109/map.2013.6474489

Cited by 17 publications

(11 citation statements)

References 38 publications

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“…The most important one is the mixed potential integral equation (MPIE), based on which the MoM can be established [30][31][32][33][34][35].…”

Section: Principle Of Cg-fft Multilayered Green's Functions Andmentioning

confidence: 99%

“…According to the analysis in [30], the DCIM is suitable for near-field region ( ≤ 0.05 ) by calculating three terms, namely, the quasi-static term ( Q-S ), the surface wave term ( SWP ), and the complex image term ( CIM ), as shown below.…”

Section: Principle Of Cg-fft Multilayered Green's Functions Andmentioning

confidence: 99%

“…where SIP stands for the Sommerfeld integral path, SWP and LWP stand for the number of extracted surface and leaky wave poles, respectively, D stands for the integral path along the branch cut, and̃+ and̃− are the spectral Green's functions along the top and bottom Riemann sheets of the branch cut, respectively [30]. With accurate evaluation of all the components in dyadic Green's functions, the MPIE can be solved by MoM with RWG functions, in which the matrix element is calculated as…”

Section: Principle Of Cg-fft Multilayered Green's Functions Andmentioning

confidence: 99%

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High Performance Computing of Complex Electromagnetic Algorithms Based on GPU/CPU Heterogeneous Platform and Its Applications to EM Scattering and Multilayered Medium Structure

Song

Mu²,

Zhou

2017

International Journal of Antennas and Propagation

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The fast and accurate numerical analysis for large-scale objects and complex structures is essential to electromagnetic simulation and design. Comparing to the exploration in EM algorithms from mathematical point of view, the computer programming realization is coordinately significant while keeping up with the development of hardware architectures. Unlike the previous parallel algorithms or those implemented by means of parallel programming on multicore CPU with OpenMP or on a cluster of computers with MPI, the new type of large-scale parallel processor based on graphics processing unit (GPU) has shown impressive ability in various scenarios of supercomputing, while its application in computational electromagnetics is especially expected. This paper introduces our recent work on high performance computing based on GPU/CPU heterogeneous platform and its application to EM scattering problems and planar multilayered medium structure, including a novel realization of OpenMP-CUDA-MLFMM, a developed ACA method and a deeply optimized CG-FFT method. With fruitful numerical examples and their obvious enhancement in efficiencies, it is convincing to keep on deeply investigating and understanding the computer hardware and their operating mechanism in the future.

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“…The most important one is the mixed potential integral equation (MPIE), based on which the MoM can be established [30][31][32][33][34][35].…”

Section: Principle Of Cg-fft Multilayered Green's Functions Andmentioning

confidence: 99%

Section: Principle Of Cg-fft Multilayered Green's Functions Andmentioning

confidence: 99%

Section: Principle Of Cg-fft Multilayered Green's Functions Andmentioning

confidence: 99%

See 1 more Smart Citation

High Performance Computing of Complex Electromagnetic Algorithms Based on GPU/CPU Heterogeneous Platform and Its Applications to EM Scattering and Multilayered Medium Structure

Song

Mu²,

Zhou

2017

International Journal of Antennas and Propagation

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“…With fast and accurate evaluation of the dyadic Green's functions for planar multilayered structures [5,6], the mixed potential integral equation (MPIE) can be adopted to describe the boundary condition on conductor surfaces with the vanishing total tangential electric field [7]. Although the MoM has advantages of relative less unknowns and lower matrix dimensions, it is still inefficient to fulfill the impedance matrix and calculate the matrix function when the problem geometry goes large [8].…”

Section: Introductionmentioning

confidence: 99%

“…As the dimension of the impedance matrix becomes larger and larger, another difficulty arises in the calculation of the matrix function. Unlike the free space environment, the Green's functions in multilayered structure have a complex combination of three kinds of analytical expression, namely, the quasi-static term, the surface/leaky wave term and the complex image term, and one kind of integral expression, which stands for the contribution from the branch cut in far-field region [6,7]. Therefore, most of the fast algorithms, such as the MLFMA [8,9], AIM [10], p-FFT [11] and IE-FFT [12], make no longer remarkable enhancement in efficiency.…”

Section: Introductionmentioning

confidence: 99%

Full wave analysis of millimeter wave quasi-periodical structure for antenna applications by method of moments and its conjugate gradient solution on GPU/CPU platform

Song

Zhang

et al. 2015

2015 IEEE International Conference on Computational Electromagnetics

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In this paper, an accurate and efficient full wave analysis for millimeter wave quasi-periodical structure for antenna applications is realized. By extracting all the surface wave poles of the spectral domain multilayered Green's functions, the discrete complex image method (DCIM) can be adopted to fast evaluate their counter parts in spatial domain, and the mixed potential integral equation (MPIE) for method of moments (MoM) can be constructed. With the Jerusalem cross as a patch element on a dielectric layer, a quasi-periodical structure can be organized as the geometries gradually varied. By illuminate this kind of structure with an incident plane wave, the distribution of electric current on the metal surface can be obtained by solving the MoM equation and the forward scattering cross section can be fast calculated by the conjugate gradient (CG) algorithm written in CUDA and realized in NVIDIA graphic process unit (GPU). A layered structure with a 17×17 Jerusalem crosses at 30GHz was calculated and very good agreements have been found between the proposed method and commercial EM simulator (CST), while an improvement on efficiency is realized.Index Terms -Quasi-periodical structure, layered structure, MoM, multilayered Green's functions, CUDA.

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Electromagnetic Analysis of Planar Multilayers

Michalski

2024

Encyclopedia of RF and Microwave Engineering

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The computation of electromagnetic fields in planar, multilayered, uniaxial media is discussed. In particular, a complete set of electric and magnetic dyadic Green functions (DGFs) is derived for such media in a computationally efficient and convenient to use form, based on a spectral domain transmission line equivalent network along the axis normal to the stratification. Efficient methods for the computation of the Sommerfeld integrals that arise in the DGFs are also presented.

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Accurate Evaluation of Green's Functions for a Lossy Layered Medium by Fast Extraction of Surface- and Leaky-Wave Modes

Cited by 17 publications

References 38 publications

High Performance Computing of Complex Electromagnetic Algorithms Based on GPU/CPU Heterogeneous Platform and Its Applications to EM Scattering and Multilayered Medium Structure

High Performance Computing of Complex Electromagnetic Algorithms Based on GPU/CPU Heterogeneous Platform and Its Applications to EM Scattering and Multilayered Medium Structure

Full wave analysis of millimeter wave quasi-periodical structure for antenna applications by method of moments and its conjugate gradient solution on GPU/CPU platform

Electromagnetic Analysis of Planar Multilayers

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