Reduced Bloch mode expansion for periodic media band structure calculations

@article{Hussein2009ReducedBM,
  title={Reduced Bloch mode expansion for periodic media band structure calculations},
  author={M. Hussein},
  journal={Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences},
  year={2009},
  volume={465},
  pages={2825 - 2848}
}
  • M. Hussein
  • Published 2009
  • Mathematics, Physics
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • Reduced Bloch mode expansion (RBME) is presented for fast periodic media band structure calculations. The expansion employs a natural basis composed of a selected reduced set of Bloch eigenfunctions. The reduced basis is selected within the irreducible Brillouin zone at high symmetry points determined by the medium’s crystal structure and group theory (and possibly at additional related points). At each of the reciprocal lattice selection points, a number of Bloch eigenfunctions are selected up… CONTINUE READING
    135 Citations

    Figures from this paper

    A Fast Method for Electronic Band Structure Calculations
    • 1

    References

    SHOWING 1-10 OF 86 REFERENCES
    Simplified LCAO Method for the Periodic Potential Problem
    • 3,001
    • PDF
    Band structure computations of metallic photonic crystals with the multiple multipole method
    • 126
    • PDF
    Mode-enriched dispersion models of periodic materials within a multiscale mixed finite element framework
    • 19
    Homogenization of vibrating periodic lattice structures
    • 29
    Finite-element methods in electronic-structure theory
    • 87
    • Highly Influential
    Photonic band structure calculations using scattering matrices.
    • 145
    Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis.
    • 2,889
    • PDF
    CLASSICAL BAND STRUCTURE OF PERIODIC ELASTIC COMPOSITES
    • 134
    Maximally localized Wannier functions for entangled energy bands
    • 855
    • PDF
    Analysis of two-dimensional photonic crystals using a multidomain pseudospectral method.
    • 50
    • PDF