A New Method for Locating the Poles of Green's Functions in a Lossless or Lossy Multilayered Medium

Wang, Daoxiang; Yung, E.K.N.; Chen, Rushan; Bao, Jiguang

doi:10.1109/tap.2010.2046830

Cited by 9 publications

(8 citation statements)

References 9 publications

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“…3 via (20), and we compare these values with the numerical exact results obtained by the contour integrals [25]. it is observed that the poles obtained by the proposed method coincide with the poles obtained by the method in [25] within six significant figures. The real part of the residues by the former method also coincide within three significant figures.…”

Section: Numerical Results and Discussionmentioning

confidence: 75%

“…In Table 1, we present results for the normalized poles and residues ofG A φφ of Fig. 3 via (20), and we compare these values with the numerical exact results obtained by the contour integrals [25]. it is observed that the poles obtained by the proposed method coincide with the poles obtained by the method in [25] within six significant figures.…”

Section: Numerical Results and Discussionmentioning

confidence: 81%

“…It shows a good agreement between the two methods. On the other hand, the CPU time needed to obtain the poles and residues by the proposed method is about 14 seconds, which is much less than 30 seconds by the method in [25].…”

Section: Numerical Results and Discussionmentioning

confidence: 95%

See 2 more Smart Citations

An Efficient Method for the Computation of Mixed Potential Green's Functions in Cylindrically Stratified Media

Ye¹,

Xiao²,

Qiu³

et al. 2012

PIER

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Abstract-Closed-form mixed potential Green's functions (MPGFs) for cylindrically stratified media are derived in terms of quasistaticwave and surface-wave contributions. In order to avoid possible overflow/underflow problems in the numerical calculations of special cylindrical functions such as Bessel and Hankel functions, a novel form of the spectral-domain MPGFs is developed. Then, a twolevel methodology is used for the approximation of the spectraldomain MPGFs. In the first step, the qusistatic components are extracted from the spectral-domain MPGFs, and then transformed into the space domain with the use of the Sommerfeld identity and its derivatives. In the second step, the remaining parts of the spectral-domain MPGFs are approximated in terms of pole-residue expressions via the rational function fitting method (RFFM). The proposed method is efficient and fully automatic, which avoids an analytical cumbersome extraction of the surface wave poles (SWPs), prior to the spectrum fitting. In addition, this method can evaluate the spatial-domain MPGFs accurately and efficiently for both the nearand far-fields. Finally, numerical results for the spatial-domain MPGFs of a two-layer structure are presented and discussed.

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Section: Numerical Results and Discussionmentioning

confidence: 75%

Section: Numerical Results and Discussionmentioning

confidence: 81%

See 1 more Smart Citation

An Efficient Method for the Computation of Mixed Potential Green's Functions in Cylindrically Stratified Media

Ye¹,

Xiao²,

Qiu³

et al. 2012

PIER

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“…Similar to [13, Table I], the normalized poles and the residues of the approximation expression ofG E z =k z obtained via (10) are compared with the numerical exact results obtained by the contour integrals [14]. The comparison of Table I and have large negative imaginary part compared to pole 18 which will make their contributions to the spatial domain GFs negligible for large jz 0 z 0 j, due to (14). This analysis is similar to that of [13, Sec.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…In this communication, G qu is obtained along 0 3 shown in Fig. 2 by the method described in Section II-A, Gsw is extracted explicitly following the procedure suggested in [4], [14], and Gres is calculated using the Filon method [15] along 0 1 and 0 2 after the extraction of quasistatic part and surface wave part. The spatial-domain Green's functions of electric field, G E zz , [4] ("" and "2").…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

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

Zhao

Xiao

et al. 2012

IEEE Trans. Antennas Propagat.

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Closed-form Green's functions for cylindrically stratified media are derived in terms of spherical waves and surface-wave contributions. The methodology is based on a two-level approximation of the spectral-domain Green's functions. In the first step, the large argument behavior of the zeroth-order Hankel functions is used for the extraction of the quasistatic images from the spectral-domain Green's functions with the use of the Sommerfeld identity. In the second step, the remaining part of the Green's functions are approximated in terms of pole-residue expressions via the rational function fitting method. This robust, efficient, and fully numerical approach does not call for an analytical cumbersome extraction of the surface wave poles, prior to the spectrum fitting. Moreover, it can be applied in both the near-and far-field. Numerical results for the Green's functions of one-layer and two-layer structures are presented to verify the accuracy and efficiency of this approach.Index Terms-Closed-form Green's functions, cylindrically stratified media, discrete complex images method (DCIM), rational function fitting method (RFFM).

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Surface Wave Attenuation in Multilayer Structures With Lossy Media and Impedance Surfaces

Mishra¹,

Costa

Monorchio

2021

IEEE Access

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A methodology for analyzing the attenuation constant of surface wave propagating in general multilayer structures is proposed. The multilayer structure may include any number of layers, that can be made up of lossy dielectric, magnetic-material, and impedance surfaces. The non-linear characteristic equation (transverse resonance equation -TRE) of the multilayer structure is defined by utilizing transmission line (TL) theory. Consequently, the root(s) of the TRE is/are computed which indicates the complex propagation constant of that characteristic equation. The obtained results are validated over the completely shielded waveguide structures where the full wave simulation is possible. The proposed approach is employed to analyze and discuss the propagation and attenuation constant of surface wave modes in several representative examples. The analysis is carried out in the frequency range from 1 to 12 GHz.

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A New Method for Locating the Poles of Green's Functions in a Lossless or Lossy Multilayered Medium

Cited by 9 publications

References 9 publications

An Efficient Method for the Computation of Mixed Potential Green's Functions in Cylindrically Stratified Media

An Efficient Method for the Computation of Mixed Potential Green's Functions in Cylindrically Stratified Media

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

Surface Wave Attenuation in Multilayer Structures With Lossy Media and Impedance Surfaces

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