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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 12, Iss. 10 — May. 17, 2004
  • pp: 2176–2186

Photonic crystal characterization by FDTD and principal component analysis

José M. López-Alonso, José M. Rico-García, and Javier Alda  »View Author Affiliations


Optics Express, Vol. 12, Issue 10, pp. 2176-2186 (2004)
http://dx.doi.org/10.1364/OPEX.12.002176


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Abstract

We demonstrate the capabilities of principal component analysis (PCA) for studying the results of finite-difference time-domain (FDTD) algorithms in simulating photonic crystal microcavities. The spatial-temporal structures provided by PCA are related to the actual electric field vibrating inside the photonic microcavity. A detailed analysis of the results has made it possible to compute the phase maps for each mode of the arrangement at their respective resonant frequencies. The existence of standing wave behavior is revealed by this analysis. In spite of this, some numerical artifacts induced by FDTD algorithms have been clearly detailed through PCA analysis. The data we have analyzed are a given set of maps of the electric field recorded during the simulation.

© 2004 Optical Society of America

OCIS Codes
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(230.3990) Optical devices : Micro-optical devices
(260.2110) Physical optics : Electromagnetic optics
(350.3950) Other areas of optics : Micro-optics

ToC Category:
Research Papers

History
Original Manuscript: March 23, 2004
Revised Manuscript: May 3, 2004
Published: May 17, 2004

Citation
José López-Alonso, José Rico-García, and Javier Alda, "Photonic crystal characterization by FDTD and principal component analysis," Opt. Express 12, 2176-2186 (2004)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-10-2176


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