Scattering by Obstacles

Abstract

In this chapter we study the phenomenon of scattering by a compact obstacle in Euclidean space $${\mathbb{R}}^{3}$$. We restrict attention to the three-dimensional case, though a similar analysis can be given for obstacles in $${\mathbb{R}}^{n}$$ whenever n is odd. The Huygens principle plays an important role in part of the analysis, and for that part the situation for n even is a little more complicated, though a theory exists there also.