Fast multipole method for scattering from 3-D PEC targets situated in a half-space environment

Geng, Norbert; Sullivan, Anders; Carin, Lawrence

doi:10.1002/(sici)1098-2760(19990620)21:6<399::aid-mop3>3.0.co;2-z

Cited by 21 publications

(50 citation statements)

References 14 publications

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“…The half-space dyadic Green's function can be split into a termĪg i representing the "direct" radiation between source and observation point (as in free space, but using in general a complex wave number k i ) and a remaining dyadic ∆Ḡ Aii accounting for interactions with the interface (i.e., here ∆ is not an operator) [9][10][11].…”

Section: Free-space and Half-space Mlfmamentioning

confidence: 99%

“…For a half-space FMM/MLFMA, it is essential to include the effects of the far interface interactions. However, that the number of terms L required for convergence can be prohibitively large for general complex source points, undermining the efficiency of using (4) for far interface interactions in the context of the discrete compleximage technique [9][10][11].…”

Section: Free-space and Half-space Mlfmamentioning

confidence: 99%

“…While the half-space dyadic Green's function is rigorously accounted for in the near interaction matrix, far interactions are often less sensitive to approximations in the Green's function [9][10][11]. The FMM has been successfully extended to the scattering from a PEC object above or buried in a half space by employing the asymptotic form of the Green's function [11] for far interactions.…”

Section: Free-space and Half-space Mlfmamentioning

confidence: 99%

“…In [9][10][11], Geng and colleagues developed an approximate means of handling the dyadic half-space Green's function, with application to the fast multipole method (FMM) and the multilevel fast multipole algorithm (MLFMA), which were originally developed for targets in free space [12][13][14][15][16][17][18][19][20][21][22]. In their works, the near MLFMA terms are evaluated via the use of the exact dyadic Green's function, the latter evaluated efficiently via the complex-image technique [23].…”

Section: Introductionmentioning

confidence: 99%

“…The far terms, evaluated efficiently via the clustering algorithm, employ the asymptotic form of the dyadic Green's function. As elucidated further in the following, each component of the approximate Green's function is expressed in terms of the direct-radiation term plus radiation from an image source in real space [9][10][11]. The former accounts for the radiation of currents into the medium in which it resides, while the latter accounts for interactions with the half-space interface.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Multilevel Fast Multipole Algorithm for Radiation Characteristics of Shipborne Antennas Above Seawater

Zhao¹,

Liang²,

Liang³

2008

PIER

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Abstract-Radiation characteristics of shipborne antennas above lossy half-space are studied using the multilevel fast multipole algorithm (MLFMA). The near terms in the MLFMA are evaluated by using the rigorous half-space dyadic Green's function, computed via the method of complex images. The far MLFMA interactions employ an approximate dyadic Green's function via a direct-radiation term plus a single real image, with the image amplitude characterized by the polarization-dependent Fresnel reflection coefficient. Finally, radiation patterns of an ultra-shortwave antenna mounted on a realistic 3-D ship over seawater are presented and compared with a rigorous method-ofmoments (MoM) solution.

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Section: Free-space and Half-space Mlfmamentioning

confidence: 99%

Section: Free-space and Half-space Mlfmamentioning

confidence: 99%

Section: Free-space and Half-space Mlfmamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Multilevel Fast Multipole Algorithm for Radiation Characteristics of Shipborne Antennas Above Seawater

Zhao¹,

Liang²,

Liang³

2008

PIER

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Multilevel fast multipole algorithm for three‐dimensional dielectric targets in the vicinity of a lossy half space

Sullivan

Carin

2001

Micro & Optical Tech Letters

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The multilevel fast multipole algorithm (MLFMA) is applied to the problem of a general three‐dimensional dielectric target above or below a lossy half space. The dyadic half‐space Green's function is evaluated rigorously for the “near” MLFMA interactions, while an asymptotic Green's function approximation is applied for the “far” interactions. The model is discussed, and results are compared with those from a rigorous method‐of‐moments (MoM) analysis. © 2001 John Wiley & Sons, Inc. Microwave Opt Technol Lett 29: 100–104, 2001.

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Efficient evaluation of the half‐space Green's function for fast‐multipole scattering models

Liu

Carin

2001

Micro & Optical Tech Letters

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There has recently been significant interest in the method‐of‐moments (MoM) and fast multipole method (FMM) for the analysis of scattering from targets in the presence of a lossy dielectric half space (soil). It is desirable to make the analysis of scattering from such a target consistent with use of the free‐space Green's function, to exploit previously developed free‐space scattering models, and for compatibility with the FMM. In this paper, we present a new and simple formulation for Green's‐function evaluation, which is shown to yield efficient and highly accurate scattering results. © 2001 John Wiley & Sons, Inc. Microwave Opt Technol Lett 29: 388–392, 2001.

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Fast multipole method for scattering from 3-D PEC targets situated in a half-space environment

Cited by 21 publications

References 14 publications

Multilevel Fast Multipole Algorithm for Radiation Characteristics of Shipborne Antennas Above Seawater

Multilevel Fast Multipole Algorithm for Radiation Characteristics of Shipborne Antennas Above Seawater

Multilevel fast multipole algorithm for three‐dimensional dielectric targets in the vicinity of a lossy half space

Efficient evaluation of the half‐space Green's function for fast‐multipole scattering models

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