Photonic crystal characterization by FDTD and principal component analysis

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 th...

Full description

Bibliographic Details
Authors: López Alonso, José Manuel; Rico García, José María; Alda Serrano, Javier
Format: Article
Publication date:2004
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/51625
Online Access:https://hdl.handle.net/20.500.14352/51625
Access Level:Open access
Keyword:537.8
535.14
548.0:53
Micro-Optics
Microstructured devices
Electromagnetic Theory
Signal Processing
Spontaneous Emission
Física (Física)
Electromagnetismo
Óptica (Física)
Cristalografía (Química)
22 Física
2202 Electromagnetismo
2209.19 Óptica Física
2211.04 Cristalografía
_version_ 1878731361610629120
author López Alonso, José Manuel
author2 Rico García, José María
Alda Serrano, Javier
author2_role author
author
author_browse Alda Serrano, Javier
López Alonso, José Manuel
Rico García, José María
author_facet López Alonso, José Manuel
Rico García, José María
Alda Serrano, Javier
author_role author
collection Docta Complutense
description 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.
eu_rights_str_mv openAccess
format article
id ES_2e08cb8ea1a485decd7d5cc0db89c5e0
institution Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
language eng
network_acronym_str ES
network_name_str España
oai_identifier_str oai:docta.ucm.es:20.500.14352/51625
publishDate 2004
publishDateSort 2004
publisher OSA Publishing
publisherStr OSA Publishing
reponame_str Docta Complutense
spelling Photonic crystal characterization by FDTD and principal component analysis López Alonso, José Manuel Rico García, José María Alda Serrano, Javier 537.8 535.14 548.0:53 Micro-Optics Microstructured devices Electromagnetic Theory Signal Processing Spontaneous Emission Física (Física) Electromagnetismo Óptica (Física) Cristalografía (Química) 22 Física 2202 Electromagnetismo 2209.19 Óptica Física 2211.04 Cristalografía 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. OSA Publishing https://hdl.handle.net/20.500.14352/51625
spellingShingle Photonic crystal characterization by FDTD and principal component analysis
López Alonso, José Manuel
537.8
535.14
548.0:53
Micro-Optics
Microstructured devices
Electromagnetic Theory
Signal Processing
Spontaneous Emission
Física (Física)
Electromagnetismo
Óptica (Física)
Cristalografía (Química)
22 Física
2202 Electromagnetismo
2209.19 Óptica Física
2211.04 Cristalografía
title Photonic crystal characterization by FDTD and principal component analysis
title_full Photonic crystal characterization by FDTD and principal component analysis
title_fullStr Photonic crystal characterization by FDTD and principal component analysis
title_full_unstemmed Photonic crystal characterization by FDTD and principal component analysis
title_short Photonic crystal characterization by FDTD and principal component analysis
title_sort Photonic crystal characterization by FDTD and principal component analysis
topic 537.8
535.14
548.0:53
Micro-Optics
Microstructured devices
Electromagnetic Theory
Signal Processing
Spontaneous Emission
Física (Física)
Electromagnetismo
Óptica (Física)
Cristalografía (Química)
22 Física
2202 Electromagnetismo
2209.19 Óptica Física
2211.04 Cristalografía
topic_facet 537.8
535.14
548.0:53
Micro-Optics
Microstructured devices
Electromagnetic Theory
Signal Processing
Spontaneous Emission
Física (Física)
Electromagnetismo
Óptica (Física)
Cristalografía (Química)
22 Física
2202 Electromagnetismo
2209.19 Óptica Física
2211.04 Cristalografía
url https://hdl.handle.net/20.500.14352/51625