Full-wave analysis of multiconductor transmission lines on anisotropie inhomogeneous substrates

Kaladhar Radhakrishnan; Weng Cho Chew

doi:10.1109/22.788510

Full-wave analysis of multiconductor transmission lines on anisotropie inhomogeneous substrates

Kaladhar Radhakrishnan, Weng Cho Chew

Research output: Contribution to journal › Article › peer-review

Abstract

The full-wave analysis of the generalized microstrip line on an inhomogeneous anisotropic substrate is carried out by using the finite-difference method. The resulting sparse matrix equation is solved efficiently using the bi-Lanczos algorithm. The use of the inhomogeneous wave equation to formulate the problem makes it easy to analyze structures with multilayered substrates. The algorithm can analyze complicated structures with multiple conductors at arbitrary locations. A spatial interpolation scheme is used to evaluate the contribution from the off-diagonal terms in fl and ?. The use of the bi-Lanczos algorithm allows us to solve the problem at O(N1 '5) complexity. Storage requirements can be made to scale as O(N). This makes it possible to analyze large problems on a small computer. Very good agreement is seen between published results and results obtained using this technique.

Original language	English (US)
Pages (from-to)	1764-1770
Number of pages	7
Journal	IEEE Transactions on Microwave Theory and Techniques
Volume	47
Issue number	9 PART 2
DOIs	https://doi.org/10.1109/22.788510
State	Published - 1999
Externally published	Yes

Keywords

Anisotropic substrate
Finite difference
Lanczos algorithm
Microstrip lines

ASJC Scopus subject areas

Radiation
Condensed Matter Physics
Electrical and Electronic Engineering

Online availability

10.1109/22.788510

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title = "Full-wave analysis of multiconductor transmission lines on anisotropie inhomogeneous substrates",

abstract = "The full-wave analysis of the generalized microstrip line on an inhomogeneous anisotropic substrate is carried out by using the finite-difference method. The resulting sparse matrix equation is solved efficiently using the bi-Lanczos algorithm. The use of the inhomogeneous wave equation to formulate the problem makes it easy to analyze structures with multilayered substrates. The algorithm can analyze complicated structures with multiple conductors at arbitrary locations. A spatial interpolation scheme is used to evaluate the contribution from the off-diagonal terms in fl and ?. The use of the bi-Lanczos algorithm allows us to solve the problem at O(N1 '5) complexity. Storage requirements can be made to scale as O(N). This makes it possible to analyze large problems on a small computer. Very good agreement is seen between published results and results obtained using this technique.",

keywords = "Anisotropic substrate, Finite difference, Lanczos algorithm, Microstrip lines",

author = "Kaladhar Radhakrishnan and Chew, {Weng Cho}",

note = "Funding Information: Manuscript received January 11, 1999; revised May 21, 1999. This work was supported by the Multidisciplinary Research Initiative Program under Grant F49620-96-1-0025, by the National Science Foundation under Grant NSF ECS 93-02145, and by the Office of Naval Research under Grant N00014-95-1-0872.",

year = "1999",

doi = "10.1109/22.788510",

language = "English (US)",

volume = "47",

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issn = "0018-9480",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "9 PART 2",

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T1 - Full-wave analysis of multiconductor transmission lines on anisotropie inhomogeneous substrates

AU - Radhakrishnan, Kaladhar

AU - Chew, Weng Cho

N1 - Funding Information: Manuscript received January 11, 1999; revised May 21, 1999. This work was supported by the Multidisciplinary Research Initiative Program under Grant F49620-96-1-0025, by the National Science Foundation under Grant NSF ECS 93-02145, and by the Office of Naval Research under Grant N00014-95-1-0872.

PY - 1999

Y1 - 1999

N2 - The full-wave analysis of the generalized microstrip line on an inhomogeneous anisotropic substrate is carried out by using the finite-difference method. The resulting sparse matrix equation is solved efficiently using the bi-Lanczos algorithm. The use of the inhomogeneous wave equation to formulate the problem makes it easy to analyze structures with multilayered substrates. The algorithm can analyze complicated structures with multiple conductors at arbitrary locations. A spatial interpolation scheme is used to evaluate the contribution from the off-diagonal terms in fl and ?. The use of the bi-Lanczos algorithm allows us to solve the problem at O(N1 '5) complexity. Storage requirements can be made to scale as O(N). This makes it possible to analyze large problems on a small computer. Very good agreement is seen between published results and results obtained using this technique.

AB - The full-wave analysis of the generalized microstrip line on an inhomogeneous anisotropic substrate is carried out by using the finite-difference method. The resulting sparse matrix equation is solved efficiently using the bi-Lanczos algorithm. The use of the inhomogeneous wave equation to formulate the problem makes it easy to analyze structures with multilayered substrates. The algorithm can analyze complicated structures with multiple conductors at arbitrary locations. A spatial interpolation scheme is used to evaluate the contribution from the off-diagonal terms in fl and ?. The use of the bi-Lanczos algorithm allows us to solve the problem at O(N1 '5) complexity. Storage requirements can be made to scale as O(N). This makes it possible to analyze large problems on a small computer. Very good agreement is seen between published results and results obtained using this technique.

KW - Anisotropic substrate

KW - Finite difference

KW - Lanczos algorithm

KW - Microstrip lines

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JF - IRE Transactions on Microwave Theory and Techniques

SN - 0018-9480

IS - 9 PART 2

ER -

Full-wave analysis of multiconductor transmission lines on anisotropie inhomogeneous substrates

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