Title

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

Authors

Authors

J. M. Lopez-Alonso; J. M. Rico-Garcia;J. Alda

Comments

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Abbreviated Journal Title

IEEE Trans. Antennas Propag.

Keywords

filtering noise finite-difference time-domain (FDTD) methods; photonic; crystal; principal component analysis (PCA); total field-scattered field; excitation; FDTD METHOD; NOISE; Engineering, Electrical & Electronic; Telecommunications

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.

Journal Title

Ieee Transactions on Antennas and Propagation

Volume

53

Issue/Number

9

Publication Date

1-1-2005

Document Type

Article

Language

English

First Page

2920

Last Page

2927

WOS Identifier

WOS:000231830100017

ISSN

0018-926X

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