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...
| Authors: | ; ; |
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| 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 |
| Summary: | 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. |
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