New Finite Elements for Large-Scale Simulation of Optical Waves

Beitrag in einer Fachzeitschrift
(Report)


Details zur Publikation

Autorinnen und Autoren: Pflaum C, Berneker B, Steinle G
Zeitschrift: SIAM Journal on Scientific Computing
Verlag: Society for Industrial and Applied Mathematics
Jahr der Veröffentlichung: 2008
Band: 31
Heftnummer: 2
Seitenbereich: 1063-1081
ISSN: 1064-8275
Sprache: Englisch


Abstract


We present a new method to simulate optical waves in large geometries. This method is based on newly developed finite elements, so-called trigonometric finite wave elements (TFWEs). They are constructed by linear elements as well as by trigonometric functions such that the one-dimensional Helmholtz equation is exactly solved unde r certain conditions. In comparison with the transfer matrix method, the TFWE method offers equally good results, but it can be extended to higher dimensions and applied to time-dynamic problems. The analysis of TFWEs shows that these elements approximate functions with certain oscillation properties more accurately than standard finite elements. Thus, a finite element discretization with TFWEs leads to a smaller system of equations which eases the solving process. Numerical results obtained by applying the TFWE method to the simulation of the optical wave in distributed feedback lasers are presented. © 2008 Society for Industrial and Applied Mathematics.



FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Pflaum, Christoph Prof. Dr.
Professur für Informatik (Numerische Simulation mit Höchstleistungsrechnern)


Zitierweisen

APA:
Pflaum, C., Berneker, B., & Steinle, G. (2008). New Finite Elements for Large-Scale Simulation of Optical Waves. SIAM Journal on Scientific Computing, 31(2), 1063-1081. https://dx.doi.org/10.1137/070692224

MLA:
Pflaum, Christoph, Britta Berneker, and Günther Steinle. "New Finite Elements for Large-Scale Simulation of Optical Waves." SIAM Journal on Scientific Computing 31.2 (2008): 1063-1081.

BibTeX: 

Zuletzt aktualisiert 2018-07-08 um 14:23