A new acceleration technique with exponential convergence rate to evaluate periodic Green functions

@article{Silveirinha2005ANA,
  title={A new acceleration technique with exponential convergence rate to evaluate periodic Green functions},
  author={M. G. Silveirinha and C. A. Fernandes},
  journal={IEEE Transactions on Antennas and Propagation},
  year={2005},
  volume={53},
  pages={347-355}
}
We propose a new approach to compute the dynamic potential (Green function) from two- and three-dimensional periodic arrays of point sources in a three-dimensional space. The method has at least exponential convergence rate (in some cases it has Gaussian convergence rate). The convergence rate is independent of the position of the observation point in the unit cell. The proposed approach can also be used to calculate the derivatives of the Green function very efficiently. 
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Die Berechnung Optischer and Elektrostatischer Gitterpotentiale, Ann

  • P. P. Ewald
  • Der Physik, 1921,
  • 1921
Highly Influential
5 Excerpts

An efficient numerical evaluation of the Green’s function for the helmholtz operator on periodic structures

  • K. Jordan, G. Richter, P. Sheng
  • J. Comp. Phys., vol. 63, pp. 222–235, 1986.
  • 1986
Highly Influential
4 Excerpts

Effective permittivity of metallic crystals: A periodic Green’s function formulation

  • M. Silveirinha, C. A. Fernandes
  • Electromagnetics, no. 8, pp. 647–663, 2003.
  • 2003
1 Excerpt

Efficient calculation of the band structure of artificial materials with cylindrical metallic inclusions

  • IEEE Trans. Microwave Theory Tech., vol. 51, pp…
  • 2003
1 Excerpt

Integral equation analysis of artificial media

  • J. L. Blanchard, E. H. Newman, M. Peters
  • IEEE Trans . Antennas Propag .
  • 2000

Computational Methods for Electromagnetics

  • A. Peterson, S. Ray, R. Mittra
  • 1998
2 Excerpts

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