On the fast approximation of Green's functions in MPIE formulations for planar layered media

Shuley, N.V.; Boix, Rafael R.; Medina, F.; Horno, M.

doi:10.1109/tmtt.2002.802333

Cited by 49 publications

(38 citation statements)

References 16 publications

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“…The discrete complex image method (DCIM) has been shown to deteriorate sharply for distances between source and observation points larger than a few wavelengths [20]. So, the total least squares algorithm (TLSA) is applied to the determination of the proper and improper poles of spectral domain multilayered Green's functions that are closer to the branch point and to the determination of the residues at these poles [21].…”

Section: The Recent Applications Of the Green Function Methods 71 Comentioning

confidence: 99%

Green Function

Huang¹

2017

Recent Studies in Perturbation Theory

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Section: The Recent Applications Of the Green Function Methods 71 Comentioning

confidence: 99%

Green Function

Huang¹

2017

Recent Studies in Perturbation Theory

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“…Chew and Cui presented an approach to compute halfspace dyadic Green's function based on vector wave functions expressed in Cartesian form [7][8][9][10][11][12][22][23][24][25][26][27][28][29][30][31][32][33][34] and several manipulations to obtain less singular solutions. In this work, International Journal of Antennas and Propagation their spirit is used to explicitly calculate the half-space dyadic Green's functions needed in RF tomography.…”

Section: A Half-space Green's Functionsmentioning

confidence: 99%

A Comprehensive Forward Model for Imaging under Irregular Terrain Using RF Tomography

Monte

Soldovieri

Erricolo

et al. 2012

International Journal of Antennas and Propagation

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Imaging of tunnel networks under irregular terrain using RF tomography is generalized to include the possibility of magnetic dipoles (i.e., electric loops) either as transmitting or receiving devices. Forward scattering models are presented, and a generalized method for computing numerical dyadic Green's functions is detailed. Explicit formulas for fast numerical implementation are also presented. The paper is corroborated with numerical simulations aimed at validating formulas.

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“…Among the several methods that have been proposed in order to tackle this problem stands the discrete complex image method (DCIM) [5]- [7]. One of the most important and cumbersome steps in its application is the analytic extraction of the surface wave poles, along with the slowly decaying part (quasi-static part) of the spectrum of the Green's function, prior to the complex exponential fitting via the generalized pencil-of-function (GPOF) method [8].…”

Section: Introductionmentioning

confidence: 99%

A Robust Method for the Computation of Green's Functions in Stratified Media

Polimeridis

Yioultsis

Tsiboukis

2007

IEEE Trans. Antennas Propagat.

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Abstract-Closed-form Green's functions for unbounded planar stratified media are derived in terms of cylindrical and spherical waves. The methodology is based on a two-level approximation of the spectral-domain representation of Green's functions. This robust, efficient, and fully numerical approach does not call for an analytical extraction of "problematic" behaviors, such as the quasi-static terms and the surface wave poles, prior to the spectrum fitting. Instead, the spatial-domain Green's functions derived in this paper provide an accurate description of both the near-field singularity in the vicinity of the source and the far-field dominant behavior of the surface waves.Index Terms-Closed-form Green's functions, discrete complex image method (DCIM), quasi-static terms, rational function fitting method (RFFM).

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On the fast approximation of Green's functions in MPIE formulations for planar layered media

Cited by 49 publications

References 16 publications

Green Function

Green Function

A Comprehensive Forward Model for Imaging under Irregular Terrain Using RF Tomography

A Robust Method for the Computation of Green's Functions in Stratified Media

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