Multilayered media Green's functions in integral equation formulations

Michalski, Krzysztof A.; Mosig, J. R.

doi:10.1109/8.558666

Cited by 739 publications

(434 citation statements)

References 108 publications

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“…The presence in the integrand of the highly oscillating Bessel function and of an integrable singularity are the main causes of numerical troubles. Such troubles led some authors, involved in antenna modeling, to address their research to the investigation of some sort of approximate approaches in order to find simplified formulas and methods [Sarkar, 1975;Bannister, 1984;Michalski and Mosig, 1997;Michalski, 1998;Wait, 1999;Baumann and Sampaio, 1999].…”

Section: Introductionmentioning

confidence: 99%

Lightning return stroke current radiation in presence of a conducting ground: 1. Theory and numerical evaluation of the electromagnetic fields

2008

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[1] The general theory describing the electromagnetic field radiated by a lightning stroke over a conducting ground is presented in this paper. The derivation of the Green functions necessary to solve the problem is discussed in detail, and the determination of the expressions for the electromagnetic field components is carried out in a form that minimizes the final computational costs. A method for the numerical evaluation of the electromagnetic field is then proposed, and it is shown that it can be used starting from any ''engineering model'' representation for the lightning current distribution along the channel. Such method is based on a new efficient evaluation of the so-called Sommerfeld's integrals appearing in the electromagnetic field expressions, without resorting to any kind of approximated formulas for them. The numerical treatment of the Sommerfeld's integrals is characterized by a proper subdivision of the integration domain, the use of the Romberg technique and the determination of a suitable upper bound for the error due to the integral truncation. In the second part of this work it will be shown how the results provided by the developed theory can be used in order to assess the validity of the most common simplified approach for the calculation of the lightning radiation over a lossy ground plane.

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Section: Introductionmentioning

confidence: 99%

Lightning return stroke current radiation in presence of a conducting ground: 1. Theory and numerical evaluation of the electromagnetic fields

2008

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“…Suppose only electric currents are present, electric field generated by current source and boundary can be formulated in the mixed-potential integral equation (MPIE) as follows [23]:…”

Section: Two-level Discrete Complex Image Methods and Discussionmentioning

confidence: 99%

Automatic Incorporation of Surface Wave Poles in Discrete Complex Image Method

Zhuang¹,

Zhang²,

Hu³

et al. 2008

PIER

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Abstract-Discrete complex image method is introduced to get a closed-form dyadic Green's function by a sum of spherical waves. However, the simulation result by the traditional discrete complex image method is only valid in near-field for several wavelengths. In this paper, we analyze the form of spectral domain dyadic Green's function in the whole k ρ plane and the variety of valid range of simulation results by different sampling paths in two-level discrete complex image method. Consequently, for dyadic Green's function, surface wave pole contribution both in spectral domain and spatial domain is clarified. We introduce the automatic incorporation of surface wave poles in discrete complex image method without extracting surface wave poles. The contribution of surface wave poles in spectral domain and spatial domain dyadic Green's function is further confirmed in the new method. Besides, this method can represent dyadic Green's function by spherical waves in the layer where the source and field points are. So it satisfies the splitting requirement and consequently reduces the computational complexity dramatically especially for objects with large scale inẑ direction.

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“…The unique properties of PBG materials in microwave and millimeter-wave frequencies make them excellent platforms for planar transmission lines; waveguides; power combiners/dividers; filters; diplexers; EMC measurements; broadband absorbers and reflectors; high-efficiency broadband power amplifiers; phased arrays; highly directive, high efficiency, and broadband antenna elements; and many other devices. The research is continuing to explore the full benefit of the photonic bandgap materials for microwave and millimeter-wave applications [5][6][7][8][9][10][11][12].…”

Section: Discussionmentioning

confidence: 99%

“…These include the method of series expansion of the source function of the wave equation over a complete set of vector wave functions [1][2][3][4], the spectral domain method (SDM) [5][6][7][8], the approach based on the principle of scattering superposition [1,9], the method of image source expansion [10], and the method based on the transmission-line network analogy and the modal field expansion [11,12]. Most of these techniques, however, deal only with horizontal metallizations.…”

Section: Introductionmentioning

confidence: 99%

Green's functions for vertical current sources embedded in uniform waveguides or cavities filled with multilayered media

Słobodzian

Álvarez‐Melcón

Grzegorczyk

et al. 2002

Micro & Optical Tech Letters

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A modal series representation of spatial‐domain electric field Green's functions for arbitrarily oriented electric current sources embedded in shielded multilayer media is presented. The Green's functions associated with planar excitations are briefly recalled, and the method to compute them is generalized to vertical current sources, yielding new components of the Green's function necessary for the analysis of vertical metallizations embedded in waveguides or cavities. © 2002 Wiley Periodicals, Inc. Microwave Opt Technol Lett 33: 186–191, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.10272

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Multilayered media Green's functions in integral equation formulations

Cited by 739 publications

References 108 publications

Lightning return stroke current radiation in presence of a conducting ground: 1. Theory and numerical evaluation of the electromagnetic fields

Lightning return stroke current radiation in presence of a conducting ground: 1. Theory and numerical evaluation of the electromagnetic fields

Automatic Incorporation of Surface Wave Poles in Discrete Complex Image Method

Green's functions for vertical current sources embedded in uniform waveguides or cavities filled with multilayered media

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