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

    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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