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Advances in the Rayleigh Multipole Method for Problems in Photonics and Phononics

  • R. C. McPhedran
  • N. A. Nicorovici
  • L. C. Botten
  • A. B. Movchan
Conference paper
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 91)

Abstract

We review the basis of the Rayleigh multipole method for scattering and propagation problems in photonics and phononics. The method assumes the corresponding problem for a single inclusion has been solved, and generalizes the solution to a periodic array of such inclusions. We discuss the link between the method and representations of Green’s functions involving lattice sums.

Keywords

Helmholtz Equation Addition Theorem Effective Dielectric Constant Neumann Function Dilational Wave 
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Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • R. C. McPhedran
    • 1
  • N. A. Nicorovici
    • 1
  • L. C. Botten
    • 2
  • A. B. Movchan
    • 3
  1. 1.School of PhysicsUniversity of SydneyAustralia
  2. 2.School of Mathematical SciencesUniversity of TechnologySydneyAustralia
  3. 3.Department of Mathematical SciencesUniversity of LiverpoolLiverpoolUK

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