An interpolated spatial images method for the analysis of multilayered shielded microwave circuits

Juan Sebastian Gomez Diaz, M. Martínez-Mendoza, F. J. Pérez-Soler, A. Álvarez-Melcón

Research output: Contribution to journalArticle

Abstract

In this article, an efficient interpolation method is pre sented to compute the Green's function associated with electrical sources, when they are placed inside cylindrical cavities. The interpola tion scheme is formulated in the frame of the spatial images technique recently developed. The original idea was to calculate, for every loca tion of a point electric source, the complex values of the electric dipole and charge images, placed outside the cavity, to impose the appropriate boundary conditions for the potentials. To considerably reduce the com putational cost of the original technique, a simple interpolation method is proposed to obtain the complex values of the images for any source location. To do that, a rectangular spatial subdivision inside the cavity is proposed. Each new subregion is controlled by means of the exact image values obtained when the source is placed at the four corners of the region. The key idea is to use a bilinear interpolation to obtain the image complex values when the source is located anywhere inside this subregion. The interpolated images provide the Green's functions of the new source positions fast, and with high accuracy. This new approach can be directly applied to analyze printed planar filters. Two examples with CPU time comparisons are provided, showing the high accuracy and computational gain achieved with the technique just derived.

Original languageEnglish (US)
Pages (from-to)2294-2300
Number of pages7
JournalMicrowave and Optical Technology Letters
Volume50
Issue number9
DOIs
StatePublished - Sep 1 2008
Externally publishedYes

Fingerprint

Microwave circuits
microwave circuits
Interpolation
Green's function
interpolation
cavities
Program processors
Green's functions
Boundary conditions
subdivisions
electric charge
loci
electric dipoles
Costs
boundary conditions
costs
filters

Keywords

  • Green's functions
  • Interpolation methods
  • Method of moments
  • Multilayered circuits

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

Cite this

An interpolated spatial images method for the analysis of multilayered shielded microwave circuits. / Gomez Diaz, Juan Sebastian; Martínez-Mendoza, M.; Pérez-Soler, F. J.; Álvarez-Melcón, A.

In: Microwave and Optical Technology Letters, Vol. 50, No. 9, 01.09.2008, p. 2294-2300.

Research output: Contribution to journalArticle

Gomez Diaz, Juan Sebastian ; Martínez-Mendoza, M. ; Pérez-Soler, F. J. ; Álvarez-Melcón, A. / An interpolated spatial images method for the analysis of multilayered shielded microwave circuits. In: Microwave and Optical Technology Letters. 2008 ; Vol. 50, No. 9. pp. 2294-2300.
@article{e494d7da373640beaca64016fc5add85,
title = "An interpolated spatial images method for the analysis of multilayered shielded microwave circuits",
abstract = "In this article, an efficient interpolation method is pre sented to compute the Green's function associated with electrical sources, when they are placed inside cylindrical cavities. The interpola tion scheme is formulated in the frame of the spatial images technique recently developed. The original idea was to calculate, for every loca tion of a point electric source, the complex values of the electric dipole and charge images, placed outside the cavity, to impose the appropriate boundary conditions for the potentials. To considerably reduce the com putational cost of the original technique, a simple interpolation method is proposed to obtain the complex values of the images for any source location. To do that, a rectangular spatial subdivision inside the cavity is proposed. Each new subregion is controlled by means of the exact image values obtained when the source is placed at the four corners of the region. The key idea is to use a bilinear interpolation to obtain the image complex values when the source is located anywhere inside this subregion. The interpolated images provide the Green's functions of the new source positions fast, and with high accuracy. This new approach can be directly applied to analyze printed planar filters. Two examples with CPU time comparisons are provided, showing the high accuracy and computational gain achieved with the technique just derived.",
keywords = "Green's functions, Interpolation methods, Method of moments, Multilayered circuits",
author = "{Gomez Diaz}, {Juan Sebastian} and M. Mart{\'i}nez-Mendoza and P{\'e}rez-Soler, {F. J.} and A. {\'A}lvarez-Melc{\'o}n",
year = "2008",
month = "9",
day = "1",
doi = "10.1002/mop.23683",
language = "English (US)",
volume = "50",
pages = "2294--2300",
journal = "Microwave and Optical Technology Letters",
issn = "0895-2477",
publisher = "John Wiley and Sons Inc.",
number = "9",

}

TY - JOUR

T1 - An interpolated spatial images method for the analysis of multilayered shielded microwave circuits

AU - Gomez Diaz, Juan Sebastian

AU - Martínez-Mendoza, M.

AU - Pérez-Soler, F. J.

AU - Álvarez-Melcón, A.

PY - 2008/9/1

Y1 - 2008/9/1

N2 - In this article, an efficient interpolation method is pre sented to compute the Green's function associated with electrical sources, when they are placed inside cylindrical cavities. The interpola tion scheme is formulated in the frame of the spatial images technique recently developed. The original idea was to calculate, for every loca tion of a point electric source, the complex values of the electric dipole and charge images, placed outside the cavity, to impose the appropriate boundary conditions for the potentials. To considerably reduce the com putational cost of the original technique, a simple interpolation method is proposed to obtain the complex values of the images for any source location. To do that, a rectangular spatial subdivision inside the cavity is proposed. Each new subregion is controlled by means of the exact image values obtained when the source is placed at the four corners of the region. The key idea is to use a bilinear interpolation to obtain the image complex values when the source is located anywhere inside this subregion. The interpolated images provide the Green's functions of the new source positions fast, and with high accuracy. This new approach can be directly applied to analyze printed planar filters. Two examples with CPU time comparisons are provided, showing the high accuracy and computational gain achieved with the technique just derived.

AB - In this article, an efficient interpolation method is pre sented to compute the Green's function associated with electrical sources, when they are placed inside cylindrical cavities. The interpola tion scheme is formulated in the frame of the spatial images technique recently developed. The original idea was to calculate, for every loca tion of a point electric source, the complex values of the electric dipole and charge images, placed outside the cavity, to impose the appropriate boundary conditions for the potentials. To considerably reduce the com putational cost of the original technique, a simple interpolation method is proposed to obtain the complex values of the images for any source location. To do that, a rectangular spatial subdivision inside the cavity is proposed. Each new subregion is controlled by means of the exact image values obtained when the source is placed at the four corners of the region. The key idea is to use a bilinear interpolation to obtain the image complex values when the source is located anywhere inside this subregion. The interpolated images provide the Green's functions of the new source positions fast, and with high accuracy. This new approach can be directly applied to analyze printed planar filters. Two examples with CPU time comparisons are provided, showing the high accuracy and computational gain achieved with the technique just derived.

KW - Green's functions

KW - Interpolation methods

KW - Method of moments

KW - Multilayered circuits

UR - http://www.scopus.com/inward/record.url?scp=48849089339&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=48849089339&partnerID=8YFLogxK

U2 - 10.1002/mop.23683

DO - 10.1002/mop.23683

M3 - Article

AN - SCOPUS:48849089339

VL - 50

SP - 2294

EP - 2300

JO - Microwave and Optical Technology Letters

JF - Microwave and Optical Technology Letters

SN - 0895-2477

IS - 9

ER -