the many-body wave scattering problem for many small impedance bodies.
Technical problems are described which, when solved, make this theory
practically applicable. It also provides physical and mathematical arguments
for the possibility to produce such particles. Inverse scattering with
non-over-determined scattering data is discussed.
Revised and expanded,
this new edition includes three new chapters: the discussion of technological
problems to be solved for immediate applicability for creating materials with a
desired refraction coefficient; symmetry properties of the solutions to the
Helmholtz equation and new results on symmetry properties in harmonic analysis;
and theorems in inverse scattering.