Effiziente Eigenmodenberechnung für den Entwurf integriert-optischer Chips

P. Deuflhard (), T. Friese, F. Schmidt, R. März () and H.-P. Nolting ()
Additional contact information
P. Deuflhard: Konrad-Zuse-Zentrum für Informationstechnik Berlin
T. Friese: Konrad-Zuse-Zentrum für Informationstechnik Berlin
F. Schmidt: Konrad-Zuse-Zentrum für Informationstechnik Berlin
R. März: Siemens AG München
H.-P. Nolting: Heinrich-Hertz-Institut für Nachrichtentechnik Berlin GmbH

A chapter in Mathematik Schlüsseltechnologie für die Zukunft, 1997, pp 267-279 from Springer

Abstract: Abstract The paper deals with adaptive multigrid methods for 2D Helmholtz eigenvalue problems arising in the design of integrated optical chips. Typical features of the technological problem are its geometric complexity, its multiscale structure, the possible occurrence of eigenvalue clusters, and the necessity of quite stringent required relative error tolerances. For reasons of sheer computational complexity, multigrid methods must be used to solve the discretized eigenvalue problems and adaptive grids must be automatically constructed to avoid an undesirable blow-up of the required number of nodes for these accuracies. In view of the problem specifications, an adaptive multigrid method based on Rayleigh quotient minimization, simultaneous eigenspace iteration, and conjugate gradient method as smoother is carefully selected. Its performance in the numerical simulation of a component of a rather recent optical chip (heterodyne receiver of HHI) is documented.

Date: 1997
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-60550-5_23

Ordering information: This item can be ordered from
http://www.springer.com/9783642605505

DOI: 10.1007/978-3-642-60550-5_23

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().