Title

Numerical Artifacts In Finite-Difference Time-Domain Algorithms Analyzed By Means Of Principal Components

Keywords

Filtering noise; Finite-difference time-domain (FDTD) methods; Photonic crystal; Principal component analysis (PCA); Total field - scattered field excitation

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. © 2005 IEEE.

Publication Date

9-1-2005

Publication Title

IEEE Transactions on Antennas and Propagation

Volume

53

Issue

9

Number of Pages

2920-2927

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1109/TAP.2005.854555

Socpus ID

21244431762 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/21244431762

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