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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 28 — Oct. 1, 2012
  • pp: 6718–6725

Using adaptive weighted least squares approximation for coupling thermal and optical simulation

Alexander Gatej, Johannes Wasselowski, and Peter Loosen  »View Author Affiliations


Applied Optics, Vol. 51, Issue 28, pp. 6718-6725 (2012)
http://dx.doi.org/10.1364/AO.51.006718


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Abstract

Thermo-optical simulation is a mandatory enhancement of classical ray tracing, since nowadays many fields in the branch of optical technology have to deal with thermal effects. This paper discusses an approach for coupling the finite element method (FEM) and ray tracing simulation by processing finite element (FE) data using scattered data approximation techniques, particularly with an adaptive weighted least squares approximation algorithm in two dimensions. The validation of the implemented interface is being conducted by comparing approximated data to analytical functions. Finally, FEM data are being processed by the developed algorithm to demonstrate the applicability on appropriate problems.

© 2012 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(080.2710) Geometric optics : Inhomogeneous optical media
(140.0140) Lasers and laser optics : Lasers and laser optics
(140.6810) Lasers and laser optics : Thermal effects
(350.6830) Other areas of optics : Thermal lensing

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: June 13, 2012
Revised Manuscript: August 24, 2012
Manuscript Accepted: August 25, 2012
Published: September 24, 2012

Citation
Alexander Gatej, Johannes Wasselowski, and Peter Loosen, "Using adaptive weighted least squares approximation for coupling thermal and optical simulation," Appl. Opt. 51, 6718-6725 (2012)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-28-6718


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References

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