A New Edge Element Analysis of Dispersive Waveguiding Structures

Jilin Tan; George Pan

doi:10.1109/22.473184

A New Edge Element Analysis of Dispersive Waveguiding Structures

Jilin Tan, George Pan

Electrical Engineering

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

24 Scopus citations

Abstract

A new functional is rigorously selected for the edge element method to solve the 2 – D ½ guided wave problems. The variational formulation is derived from the vector wave equation without any assumption or simplifications, and therefore the formulation is the full-wave analysis. Moderate to heavy ohmic loss and dielectric loss are taken into account in a natural and consistent manner. As a result, finite cross-section of arbitrary shape and finite conductivity can be handled without imposing the impedance boundary condition (IBC). The IBC may no longer be held for high-speed microelectronics applications, where the cross-section dimension may have been in the same order of the skin depths of some frequency components. The propagation modes are obtained by solving the large scale generalized eigenvalue and eigenvector equations employing the subspace iteration method. The spurious modes are totally suppressed in the whole frequency range of interest. Numerical examples of dielectric waveguide, microstrip transmission lines with finite conductivity are conducted and compared with previous publications with good agreement.

Original language	English (US)
Pages (from-to)	2600-2607
Number of pages	8
Journal	IEEE Transactions on Microwave Theory and Techniques
Volume	43
Issue number	11
DOIs	https://doi.org/10.1109/22.473184
State	Published - Nov 1995

ASJC Scopus subject areas

Radiation
Condensed Matter Physics
Electrical and Electronic Engineering

Access to Document

10.1109/22.473184

Cite this

@article{5f78b7ec43e74c9f926e047dd6aa598a,

title = "A New Edge Element Analysis of Dispersive Waveguiding Structures",

abstract = "A new functional is rigorously selected for the edge element method to solve the 2 – D ½ guided wave problems. The variational formulation is derived from the vector wave equation without any assumption or simplifications, and therefore the formulation is the full-wave analysis. Moderate to heavy ohmic loss and dielectric loss are taken into account in a natural and consistent manner. As a result, finite cross-section of arbitrary shape and finite conductivity can be handled without imposing the impedance boundary condition (IBC). The IBC may no longer be held for high-speed microelectronics applications, where the cross-section dimension may have been in the same order of the skin depths of some frequency components. The propagation modes are obtained by solving the large scale generalized eigenvalue and eigenvector equations employing the subspace iteration method. The spurious modes are totally suppressed in the whole frequency range of interest. Numerical examples of dielectric waveguide, microstrip transmission lines with finite conductivity are conducted and compared with previous publications with good agreement.",

author = "Jilin Tan and George Pan",

note = "Funding Information: Manuscript received January 16, 1995; revised August 1, 1995. This work was supported in part by DARF{\textquoteright}AESTO Grant “14-91-J-4030 from the Office of Naval Research and Boeing Aerospace Co. Contract 133-W71. The authors are with the Department of Electrical Engineering, Arizona State University, Tempe, AZ 85287-7206 USA. IEEE Log Number 9414845.",

year = "1995",

month = nov,

doi = "10.1109/22.473184",

language = "English (US)",

volume = "43",

pages = "2600--2607",

journal = "IEEE Transactions on Microwave Theory and Techniques",

issn = "0018-9480",

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

number = "11",

}

TY - JOUR

T1 - A New Edge Element Analysis of Dispersive Waveguiding Structures

AU - Tan, Jilin

AU - Pan, George

N1 - Funding Information: Manuscript received January 16, 1995; revised August 1, 1995. This work was supported in part by DARF’AESTO Grant “14-91-J-4030 from the Office of Naval Research and Boeing Aerospace Co. Contract 133-W71. The authors are with the Department of Electrical Engineering, Arizona State University, Tempe, AZ 85287-7206 USA. IEEE Log Number 9414845.

PY - 1995/11

Y1 - 1995/11

N2 - A new functional is rigorously selected for the edge element method to solve the 2 – D ½ guided wave problems. The variational formulation is derived from the vector wave equation without any assumption or simplifications, and therefore the formulation is the full-wave analysis. Moderate to heavy ohmic loss and dielectric loss are taken into account in a natural and consistent manner. As a result, finite cross-section of arbitrary shape and finite conductivity can be handled without imposing the impedance boundary condition (IBC). The IBC may no longer be held for high-speed microelectronics applications, where the cross-section dimension may have been in the same order of the skin depths of some frequency components. The propagation modes are obtained by solving the large scale generalized eigenvalue and eigenvector equations employing the subspace iteration method. The spurious modes are totally suppressed in the whole frequency range of interest. Numerical examples of dielectric waveguide, microstrip transmission lines with finite conductivity are conducted and compared with previous publications with good agreement.

AB - A new functional is rigorously selected for the edge element method to solve the 2 – D ½ guided wave problems. The variational formulation is derived from the vector wave equation without any assumption or simplifications, and therefore the formulation is the full-wave analysis. Moderate to heavy ohmic loss and dielectric loss are taken into account in a natural and consistent manner. As a result, finite cross-section of arbitrary shape and finite conductivity can be handled without imposing the impedance boundary condition (IBC). The IBC may no longer be held for high-speed microelectronics applications, where the cross-section dimension may have been in the same order of the skin depths of some frequency components. The propagation modes are obtained by solving the large scale generalized eigenvalue and eigenvector equations employing the subspace iteration method. The spurious modes are totally suppressed in the whole frequency range of interest. Numerical examples of dielectric waveguide, microstrip transmission lines with finite conductivity are conducted and compared with previous publications with good agreement.

UR - http://www.scopus.com/inward/record.url?scp=0029403265&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029403265&partnerID=8YFLogxK

U2 - 10.1109/22.473184

DO - 10.1109/22.473184

M3 - Article

AN - SCOPUS:0029403265

SN - 0018-9480

VL - 43

SP - 2600

EP - 2607

JO - IEEE Transactions on Microwave Theory and Techniques

JF - IEEE Transactions on Microwave Theory and Techniques

IS - 11

ER -

A New Edge Element Analysis of Dispersive Waveguiding Structures

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this