GENERALIZED SPECTRAL-DOMAIN GREEN'S FUNCTION FOR MULTILAYER DIELECTRIC SUBSTRATES WITH APPLICATION TO MULTILAYER TRANSMISSION LINES.

Nirod Das, David M. Pozar

Research output: Contribution to journalArticle

Abstract

A generalized full-wave Green's function completely defining the field inside a multilayer dielectric structure due to a current element arbitrarily placed between any two layers is derived in two-dimensional spectral-domain form. It is derived by solving a standard form containing the current element with two substrates on either side of it, and using an iterative algorithm to take care of additional layers. Another iterative algorithm is then used to find the field in any layer in terms of the field expressions in the two layers of the standard form. The locations of the poles of the Green's function are predicted, and an asymptotic form is derived along with the asymptotic limit. By the use of these, the multilayer Green's function can be used in numerical methods as efficiently as the single-layer grounded-dielectric-substrate Green's function. This Green's function is then applied to a few multilayer transmission lines for which data are not found in the literature to date.

Original languageEnglish (US)
Pages (from-to)326-335
Number of pages10
JournalIEEE Transactions on Microwave Theory and Techniques
VolumeMTT-35
Issue number3
StatePublished - Mar 1987

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Green's function
transmission lines
Electric lines
Multilayers
Green's functions
Substrates
Wave functions
Poles
Numerical methods
poles

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

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title = "GENERALIZED SPECTRAL-DOMAIN GREEN'S FUNCTION FOR MULTILAYER DIELECTRIC SUBSTRATES WITH APPLICATION TO MULTILAYER TRANSMISSION LINES.",
abstract = "A generalized full-wave Green's function completely defining the field inside a multilayer dielectric structure due to a current element arbitrarily placed between any two layers is derived in two-dimensional spectral-domain form. It is derived by solving a standard form containing the current element with two substrates on either side of it, and using an iterative algorithm to take care of additional layers. Another iterative algorithm is then used to find the field in any layer in terms of the field expressions in the two layers of the standard form. The locations of the poles of the Green's function are predicted, and an asymptotic form is derived along with the asymptotic limit. By the use of these, the multilayer Green's function can be used in numerical methods as efficiently as the single-layer grounded-dielectric-substrate Green's function. This Green's function is then applied to a few multilayer transmission lines for which data are not found in the literature to date.",
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