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Numerical artifacts in finite-difference time- domain algorithms analyzed by means of principal components

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López Alonso, José Manuel and Rico-García, José María and Alda, Javier (2005) Numerical artifacts in finite-difference time- domain algorithms analyzed by means of principal components. IEEE Transactions on Antennas and Propagation, 53 (9). pp. 2920-2927. ISSN 0018-926X

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Official URL: http://dx.doi.org/10.1109/TAP.2005.854555




Abstract

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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© 2005 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.”

Uncontrolled Keywords:Filtering noise ; finite-difference time-domain (FDTD) methods ; photonic crystal ; principal component analysis (PCA) ; total field—scattered field excitation
Subjects:Sciences > Physics > Electromagnetism
Sciences > Physics > Optics
Medical sciences > Optics > Physical optics
ID Code:35050
Deposited On:18 Jan 2016 12:50
Last Modified:25 Feb 2016 14:58

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