Numerical artifacts in finite-difference time- domain algorithms analyzed by means of principal components
Finite-difference time-domain (FDTD) algorithms are affected by numerical artifacts and noise. In order to obtain better results we propose the use of the principal component analysis based on multivariate statistical techniques. It allows a straightforward discrimination between the numerical noise...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2005 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/51691 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/51691 |
| Access Level: | acceso abierto |
| Palabra clave: | 535.3 537.8 Filtering noise Finite-difference time-domain (FDTD) methods Photonic crystal Principal component analysis (PCA) Total field—scattered field excitation Electromagnetismo Óptica (Física) Óptica física, óptica cuántica 2202 Electromagnetismo 2209.19 Óptica Física 2209.19 Óptica física |
| Sumario: | Finite-difference time-domain (FDTD) algorithms are affected by numerical artifacts and noise. In order to obtain better results we propose the use of the principal component analysis based on multivariate statistical techniques. It allows a straightforward discrimination between the numerical noise and the actual electromagnetic field distributions, and the quantitative estimation of their respective contributions. Besides, the FDTD results can be filtered to clean the effect of the noise. The method has been applied successfully to two dimensional simulations: propagation of a pulse in vacuum using total field-scattered field techniques, and mode computation in a two-dimensional photonic crystal. In this last case, PCA has revealed hidden electromagnetic structures related to actual modes of the photonic crystal. |
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