We present an extension of the well-known method of 'inverse iteration' for the standard eigenvalue problem to the nonlinear problem of finding dispersion relations for electromagnetic waves moving through a doublyperiodic ...

We describe a method for the calculation of Green's functions for an array of dielectric cylinders. The method is to first construct quasi-periodic Green?s functions, with Bloch vector kB. This function also obeys the ...

We study the propagation of elastic waves in a two-dimensional solid containing a doubly periodic array of circular holes. The method of multipoles expansions is employed here, so that it takes into account a coupling ...

We present here an analysis of electromagnetic waves propagating through a doubly periodic array of inclusions which are not necessarily circular. A small perturbation to a circular boundary is introduced, and this can be ...

In this paper, we analyse the propagation of elastodynamic waves in a circular cylinder in the case of oblique incidence. We use a scattering matrix approach and derive an algebraic linear system which allows us to get a ...