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

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.

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