The aim of this paper is to explain some recent numerical methods for solving
high-frequency scattering problems. Most particularly, we focus on the multiple scattering
problem where rays are multiply bounced by a collection of separate objects. We review
recent developments for three main families of approaches: Fourier series based methods,
Partial Differential Equations approaches and Integral Equations based techniques. Furthermore,
for each of these three families of methods, we present original procedures for solving
the high-frequency multiple scattering problem. Computational examples are given, in particular
for finite periodic structures calculations. Difficulties for solving such problems are
explained, showing that many serious simulation problems are still open.
