Analysis of dielectric guides by vector transverse magnetic field finite elements

Zine Eddine Abid; Klein L. Johnson; Anand Gopinath

doi:10.1109/50.249894

Analysis of dielectric guides by vector transverse magnetic field finite elements

Zine Eddine Abid
, Klein L. Johnson
, Anand Gopinath

Electrical and Computer Engineering

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

30 Scopus citations

Abstract

A transverse magnetic field formulation of the finite-element method for solving lightwave propagation in optical guides has been implemented. The method requires that the interface boundary conditions E and H, have been imposed, and this performed by solving the vector wave equation in the null space of the boundary operator. Results for a three-layer ridge waveguide, even with a very coarse mesh, compare well with published values. In addition, results for a lossless multiple-quantum-well ridge guide, again using a coarse mesh, show excellent agreement with results from a variable mesh semivectorial finite-difference program.

Original language	English (US)
Pages (from-to)	1545-1549
Number of pages	5
Journal	Journal of Lightwave Technology
Volume	11
Issue number	10
DOIs	https://doi.org/10.1109/50.249894
State	Published - 1993

Bibliographical note

Funding Information:
Manucript received September 9, 1992; revised March 2, 1993. This work was performed with the support of the U.S. Air Force Rome Laboratories, Hanson Field AFI3 contract AF/F19628-91-K-0044, NSF Grant ECS4-9025096, and the University of Minnesota. The authors are with the University of Minnesota, Department of Electrical Engineering, Minneapolis, MN 55455. IEEE Log Number 9210004.

Publisher link

10.1109/50.249894

Find It

Find It at U of M Libraries

Cite this

@article{f25bc7821cbb4cfaa2e6dce872361ce0,

title = "Analysis of dielectric guides by vector transverse magnetic field finite elements",

abstract = "A transverse magnetic field formulation of the finite-element method for solving lightwave propagation in optical guides has been implemented. The method requires that the interface boundary conditions E and H, have been imposed, and this performed by solving the vector wave equation in the null space of the boundary operator. Results for a three-layer ridge waveguide, even with a very coarse mesh, compare well with published values. In addition, results for a lossless multiple-quantum-well ridge guide, again using a coarse mesh, show excellent agreement with results from a variable mesh semivectorial finite-difference program.",

author = "Abid, \{Zine Eddine\} and Johnson, \{Klein L.\} and Anand Gopinath",

note = "Funding Information: Manucript received September 9, 1992; revised March 2, 1993. This work was performed with the support of the U.S. Air Force Rome Laboratories, Hanson Field AFI3 contract AF/F19628-91-K-0044, NSF Grant ECS4-9025096, and the University of Minnesota. The authors are with the University of Minnesota, Department of Electrical Engineering, Minneapolis, MN 55455. IEEE Log Number 9210004.",

year = "1993",

doi = "10.1109/50.249894",

language = "English (US)",

volume = "11",

pages = "1545--1549",

journal = "Journal of Lightwave Technology",

issn = "0733-8724",

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

number = "10",

}

TY - JOUR

T1 - Analysis of dielectric guides by vector transverse magnetic field finite elements

AU - Abid, Zine Eddine

AU - Johnson, Klein L.

AU - Gopinath, Anand

N1 - Funding Information: Manucript received September 9, 1992; revised March 2, 1993. This work was performed with the support of the U.S. Air Force Rome Laboratories, Hanson Field AFI3 contract AF/F19628-91-K-0044, NSF Grant ECS4-9025096, and the University of Minnesota. The authors are with the University of Minnesota, Department of Electrical Engineering, Minneapolis, MN 55455. IEEE Log Number 9210004.

PY - 1993

Y1 - 1993

N2 - A transverse magnetic field formulation of the finite-element method for solving lightwave propagation in optical guides has been implemented. The method requires that the interface boundary conditions E and H, have been imposed, and this performed by solving the vector wave equation in the null space of the boundary operator. Results for a three-layer ridge waveguide, even with a very coarse mesh, compare well with published values. In addition, results for a lossless multiple-quantum-well ridge guide, again using a coarse mesh, show excellent agreement with results from a variable mesh semivectorial finite-difference program.

AB - A transverse magnetic field formulation of the finite-element method for solving lightwave propagation in optical guides has been implemented. The method requires that the interface boundary conditions E and H, have been imposed, and this performed by solving the vector wave equation in the null space of the boundary operator. Results for a three-layer ridge waveguide, even with a very coarse mesh, compare well with published values. In addition, results for a lossless multiple-quantum-well ridge guide, again using a coarse mesh, show excellent agreement with results from a variable mesh semivectorial finite-difference program.

UR - https://www.scopus.com/pages/publications/0027680645

UR - https://www.scopus.com/pages/publications/0027680645#tab=citedBy

U2 - 10.1109/50.249894

DO - 10.1109/50.249894

M3 - Article

AN - SCOPUS:0027680645

SN - 0733-8724

VL - 11

SP - 1545

EP - 1549

JO - Journal of Lightwave Technology

JF - Journal of Lightwave Technology

IS - 10

ER -

Analysis of dielectric guides by vector transverse magnetic field finite elements

Abstract

Bibliographical note

Publisher link

Find It

Other files and links

Fingerprint

Cite this