On the Computation of Electromagnetic Dyadic Green's Function in Spherically Multilayered Media

Fallahi, Arya; Oswald, Benedikt

doi:10.1109/tmtt.2011.2136356

Cited by 22 publications

(15 citation statements)

References 34 publications

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“…To save some space here, only the first and fourth sets are provided since the other two sets have precisely the same form as the first and fourth sets. Thus, the first set is given by (5) while the fourth set is given by (6) The two remaining sets are obtained as follows: the second set is given by (5) and the third set is given by (6) simply by replacing with and with . The cumbersome quantities , , , and are given by [18, eqs.…”

Section: A Formal Full-wave Series Solutionmentioning

confidence: 99%

“…Modifying accordingly , up to the order of , yields the expansion (7) and therefore, is expanded, up to the order of , as (8) The quantities , appearing in (7) and (8) are defined in [18,App.]. Using Maclaurin series expansions for all the quantities involved in the sets (5) and (6), and their accompanying ones, and keeping terms up to , the sets (5), (6), and their accompanying ones take the form (9) The first set in (9) corresponds to the expansion of the set in (5). The fourth set in (9) corresponds to the expansion of the set in (6).…”

Section: B Closed-form Solutionmentioning

confidence: 99%

“…T HE electromagnetic scattering by composite objects is useful in many applications, like radar engineering for the calculation of the scattering patterns due to dielectric coated metallic objects [1], [2], for the design of microwave dielectric resonators, used as microwave filters or for permittivity measurements [3], in spherical/spheroidal microstrip structures where a spherical or spheroidal dielectric substrate covers a metallic spherical or spheroidal core [4], for improving electromagnetic scattering techniques used to explain the operation of high-frequency components [5]- [8], or in the future validation of other numerical methods. Moreover, spheroidal-spherical configurations can be also used for approximating other less tractable 3-D particles.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Fast Solution of the Electromagnetic Scattering by Composite Spheroidal–Spherical and Spherical–Spheroidal Configurations

Zouros

Kolezas

Roumeliotis

2015

IEEE Trans. Microwave Theory Techn.

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The electromagnetic scattering of a plane wave by composite spheroidal-spherical and spherical-spheroidal configurations is studied in this work. The spheroidal-spherical configuration consists of a spheroidal dielectric shell coating a spherical metallic core, while the spherical-spheroidal configuration consists of a spherical dielectric shell coating a spheroidal metallic core. Initially, the formal series solution is constructed by using analytical expansions connecting the spheroidal with the spherical eigenvectors. The solution of the problem is then obtained following two independent paths: first, asymptotic expansions are applied on all related quantities leading to a solution for the fields and the scattering cross sections, which is given by closed-form expressions, and is valid for small eccentricities of the spheroid. Second, the formal full-wave series solution is solved numerically by truncation. Both the full-wave and the closed-form solutions are validated by numerous comparisons with numerical simulations. The accuracy of the closed-form solution is then compared to the full-wave solution. The closed-form solution has very low computational cost. The spheroid can be one of prolate or oblate type. Both TE and TM incidence are studied and numerical results are given for various values of the parameters.Index Terms-Closed form, electromagnetic scattering, full wave, scattering cross sections, spheroids. 0018-9480

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Section: A Formal Full-wave Series Solutionmentioning

confidence: 99%

Section: B Closed-form Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fast Solution of the Electromagnetic Scattering by Composite Spheroidal–Spherical and Spherical–Spheroidal Configurations

Zouros

Kolezas

Roumeliotis

2015

IEEE Trans. Microwave Theory Techn.

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“…Since the fields of a structure can always be expanded by eigenfunctions, eigenvalue problems are of importance. Among all the axisymmetric structures, only dipoles [16], [17], spheres [18]- [20], and spheroids [21]- [23] possess analytical eigensolutions, while other structures, such as disks and rings, have to be handled by numerical methods, such as the finite-difference time-domain (FDTD) method [24] and finite-element method (FEM) [25]. For the nanoparticle antennas, a 3-D simulation is appropriate because the scatter is relatively small.…”

Section: Introductionmentioning

confidence: 99%

Extension and Optimization of the Axisymmetric 2.5-D Eigensolver: Toward Far-Field Calculations in Stratified Backgrounds

Zhang

Wang

2016

IEEE Trans. Antennas Propagat.

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We extend and optimize the axisymmetric 2.5-D eigensolver to calculate the far-field results of axisymmetric structures in stratified backgrounds (SBs), which is useful and practical for optical design and engineering. Two kinds of near-field-to-farfield transformations (NFFFTs) are proposed. One is called closedsurface transformation which is based on the dipole radiations in SBs. The other is called open-surface transformation which is based on the analytic continuation. This transformation can provide the far-field results of any axisymmetric structure (including backgrounds). The far-field results achieved by these two transformations are in good agreement with each other and with analytical ones. Moreover, in order to obtain accurate near-field results, we optimize the perfectly matched layer (PML) setting of the 2.5-D eigensolver. Corresponding optimization rules are proposed and discussed.

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“…In addition, an externally excited strip curl antenna with a CP tilted beam has been reported in [5]. Several studies have also been published on the computations of the DGF components of layered structures [6]- [8], and closed form DGF expressions have been reported [9]- [12], in which asymptotic extraction and the GPOF method were applied in the approximation of the Green's functions.…”

Section: Introductionmentioning

confidence: 99%

Moment Method Analysis of a Conformal Curl Antenna Printed Within Layered Dielectric Cylindrical Media

Khamas

Cook

2013

IEEE Trans. Antennas Propagat.

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A curl antenna printed within a grounded cylindrical dielectric substrate is analyzed efficiently using the method of moments (MoM). The antenna consists of a single Archimedean spiral arm printed on the cylindrical surface which is fed through the substrate using a radial probe, and a rigorous model is developed for this feeding probe. The cylindrical media is modeled using dyadic Green's functions (DGF), where a novel asymptotic extraction approach and the generalized pencil of functions (GPOF) method are employed to expedite the analysis. Computations are compared with those of antennas in equivalent planar structures, as well as with the results of commercial software, and good agreement is achieved in all cases.

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On the Computation of Electromagnetic Dyadic Green's Function in Spherically Multilayered Media

Cited by 22 publications

References 34 publications

Fast Solution of the Electromagnetic Scattering by Composite Spheroidal–Spherical and Spherical–Spheroidal Configurations

Fast Solution of the Electromagnetic Scattering by Composite Spheroidal–Spherical and Spherical–Spheroidal Configurations

Extension and Optimization of the Axisymmetric 2.5-D Eigensolver: Toward Far-Field Calculations in Stratified Backgrounds

Moment Method Analysis of a Conformal Curl Antenna Printed Within Layered Dielectric Cylindrical Media

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