Scattering by Finely Layered Obstacles: Frequency-Explicit Bounds and Homogenization
Scattering by Finely Layered Obstacles: Frequency-Explicit Bounds and Homogenization
.We consider the scalar Helmholtz equation with variable, discontinuous coefficients, modeling transmission of acoustic waves through an anisotropic penetrable obstacle. We first prove a well-posedness result and a frequency-explicit bound on the solution operator that are valid for sufficiently large frequency and for a class of coefficients that satisfy certain …