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- W2129305655 abstract "Most compact FD-FD stencils for discretizing 3-D homogeneous Helmholtz equation suffers from so-called numerical dispersion due to inadequate spatial sampling of the EM field. To verify the effectiveness of newly-derived compact local spherical Fourier-Bessel series (LSFBS) -based formulae, including local field expansion (LFE) face-centered LFE-FC-7, edge-centered LFE-EC-13, corner-point LFE-CR-9, and LFE3D-27, we investigate dispersion characteristics of those formulae. The classical FD formula (FD2-7) requires that the number of sampling points per wavelength is fifteen or more to reduce the relative error of phase velocity to less than 1% and to reduce the relative error of group velocity to less than 2.5%. However, with the LSFBS-based formula (LFE3D-27) it takes only three points per wavelength to achieve less than 1% the relative phase and group velocity errors along various chosen directions." @default.
- W2129305655 created "2016-06-24" @default.
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- W2129305655 date "2013-07-01" @default.
- W2129305655 modified "2023-09-27" @default.
- W2129305655 title "Dispersion characteristics of compact 3-D formulae based on local spherical fourier-bessel series" @default.
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- W2129305655 doi "https://doi.org/10.1109/csqrwc.2013.6657335" @default.
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