Three-Dimensional Analytical Electrostatic Green's Functions for Shielded and Open Arbitrarily Multilayered Medium Structures and Their Application to Analysis of Microstrip Discontinuities

Keren LI; Kazuhiko ATSUKI

Three-Dimensional Analytical Electrostatic Green's Functions for Shielded and Open Arbitrarily Multilayered Medium Structures and Their Application to Analysis of Microstrip Discontinuities

Keren LI, Kazuhiko ATSUKI

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In this paper, we present for the first time two three-dimensional analytical electrostatic Green's functions for shielded and open arbitrarily multilayered medium structures. The analytical formulas for the Green's functions are simply expressed in the form of Fourier series and integrals, and are applicable to the arbitrary number of dielectric layers. In combination with the complex image charge method, we demonstrate an efficient application to analyze microstrip discontinuities in a three-layered dielectric structure. Numerical results for the capacitance associated with on open-end discontinuity show good agreement with those from a previous paper and the effectiveness of using the analytical Green's functions to analyze three-dimensional electrostatic problems.

Publication: IEICE TRANSACTIONS on Electronics Vol.E78-C No.10 pp.1366-1372

Publication Date: 1995/10/25

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Type of Manuscript: Special Section PAPER (Special Issue on Electromagnetic Theory)

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Keren LI, Kazuhiko ATSUKI, "Three-Dimensional Analytical Electrostatic Green's Functions for Shielded and Open Arbitrarily Multilayered Medium Structures and Their Application to Analysis of Microstrip Discontinuities" in IEICE TRANSACTIONS on Electronics, vol. E78-C, no. 10, pp. 1366-1372, October 1995, doi: .
Abstract: In this paper, we present for the first time two three-dimensional analytical electrostatic Green's functions for shielded and open arbitrarily multilayered medium structures. The analytical formulas for the Green's functions are simply expressed in the form of Fourier series and integrals, and are applicable to the arbitrary number of dielectric layers. In combination with the complex image charge method, we demonstrate an efficient application to analyze microstrip discontinuities in a three-layered dielectric structure. Numerical results for the capacitance associated with on open-end discontinuity show good agreement with those from a previous paper and the effectiveness of using the analytical Green's functions to analyze three-dimensional electrostatic problems.
URL: https://globals.ieice.org/en_transactions/electronics/10.1587/e78-c_10_1366/_p

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@ARTICLE{e78-c_10_1366,
author={Keren LI, Kazuhiko ATSUKI, },
journal={IEICE TRANSACTIONS on Electronics},
title={Three-Dimensional Analytical Electrostatic Green's Functions for Shielded and Open Arbitrarily Multilayered Medium Structures and Their Application to Analysis of Microstrip Discontinuities},
year={1995},
volume={E78-C},
number={10},
pages={1366-1372},
abstract={In this paper, we present for the first time two three-dimensional analytical electrostatic Green's functions for shielded and open arbitrarily multilayered medium structures. The analytical formulas for the Green's functions are simply expressed in the form of Fourier series and integrals, and are applicable to the arbitrary number of dielectric layers. In combination with the complex image charge method, we demonstrate an efficient application to analyze microstrip discontinuities in a three-layered dielectric structure. Numerical results for the capacitance associated with on open-end discontinuity show good agreement with those from a previous paper and the effectiveness of using the analytical Green's functions to analyze three-dimensional electrostatic problems.},
keywords={},
doi={},
ISSN={},
month={October},}

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TY - JOUR
TI - Three-Dimensional Analytical Electrostatic Green's Functions for Shielded and Open Arbitrarily Multilayered Medium Structures and Their Application to Analysis of Microstrip Discontinuities
T2 - IEICE TRANSACTIONS on Electronics
SP - 1366
EP - 1372
AU - Keren LI
AU - Kazuhiko ATSUKI
PY - 1995
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E78-C
IS - 10
JA - IEICE TRANSACTIONS on Electronics
Y1 - October 1995
AB - In this paper, we present for the first time two three-dimensional analytical electrostatic Green's functions for shielded and open arbitrarily multilayered medium structures. The analytical formulas for the Green's functions are simply expressed in the form of Fourier series and integrals, and are applicable to the arbitrary number of dielectric layers. In combination with the complex image charge method, we demonstrate an efficient application to analyze microstrip discontinuities in a three-layered dielectric structure. Numerical results for the capacitance associated with on open-end discontinuity show good agreement with those from a previous paper and the effectiveness of using the analytical Green's functions to analyze three-dimensional electrostatic problems.
ER -