An economic method for the solution of the scalar wave equation for arbitrarily shaped optical waveguides

Hugo Hoekstra

Research output: Contribution to journalArticleAcademicpeer-review

5 Citations (Scopus)
26 Downloads (Pure)

Abstract

The discrete sine method, in which the basis functions consist of sine functions defined on a set of parallel discretization lines, is discussed. The method is a combination of a scalar version of the finite difference method and sine method. The choice of the basis set leads for the eigenvalue equation to be solved, to a sparse matrix with a small bandwidth. As a consequence, the propagation constant of guided modes in optical waveguides may be calculated with short computation times and low storage needs. Results obtained with the method for three different wave guiding structures are compared with those of other methods
Original languageUndefined
Pages (from-to)789-793
Number of pages5
JournalJournal of lightwave technology
Volume8
Issue number5
DOIs
Publication statusPublished - 1990

Keywords

  • METIS-129009
  • IR-24209

Cite this

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title = "An economic method for the solution of the scalar wave equation for arbitrarily shaped optical waveguides",
abstract = "The discrete sine method, in which the basis functions consist of sine functions defined on a set of parallel discretization lines, is discussed. The method is a combination of a scalar version of the finite difference method and sine method. The choice of the basis set leads for the eigenvalue equation to be solved, to a sparse matrix with a small bandwidth. As a consequence, the propagation constant of guided modes in optical waveguides may be calculated with short computation times and low storage needs. Results obtained with the method for three different wave guiding structures are compared with those of other methods",
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author = "Hugo Hoekstra",
year = "1990",
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journal = "Journal of lightwave technology",
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An economic method for the solution of the scalar wave equation for arbitrarily shaped optical waveguides. / Hoekstra, Hugo.

In: Journal of lightwave technology, Vol. 8, No. 5, 1990, p. 789-793.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - An economic method for the solution of the scalar wave equation for arbitrarily shaped optical waveguides

AU - Hoekstra, Hugo

PY - 1990

Y1 - 1990

N2 - The discrete sine method, in which the basis functions consist of sine functions defined on a set of parallel discretization lines, is discussed. The method is a combination of a scalar version of the finite difference method and sine method. The choice of the basis set leads for the eigenvalue equation to be solved, to a sparse matrix with a small bandwidth. As a consequence, the propagation constant of guided modes in optical waveguides may be calculated with short computation times and low storage needs. Results obtained with the method for three different wave guiding structures are compared with those of other methods

AB - The discrete sine method, in which the basis functions consist of sine functions defined on a set of parallel discretization lines, is discussed. The method is a combination of a scalar version of the finite difference method and sine method. The choice of the basis set leads for the eigenvalue equation to be solved, to a sparse matrix with a small bandwidth. As a consequence, the propagation constant of guided modes in optical waveguides may be calculated with short computation times and low storage needs. Results obtained with the method for three different wave guiding structures are compared with those of other methods

KW - METIS-129009

KW - IR-24209

U2 - 10.1109/50.54489

DO - 10.1109/50.54489

M3 - Article

VL - 8

SP - 789

EP - 793

JO - Journal of lightwave technology

JF - Journal of lightwave technology

SN - 0733-8724

IS - 5

ER -