Anisotropic conductivities that cannot be detected by EIT.
We construct anisotropic conductivities in dimension 3 that give rise to the same voltage and current measurements at the boundary of a body as a homogeneous isotropic conductivity. These conductivities are non-zero, but degenerate close to a surface inside the body.
Greenleaf
Allan
A
Department of Mathematics, University of Rochester, Rochester, NY 14618, USA.
Lassas
Matti
M
Uhlmann
Gunther
G
D016880:Anisotropy; D004553:Electric Conductivity; D017097:Electric Impedance; D006801:Humans; D008954:Models, Biological; D009369:Neoplasms / Q000000981:diagnostic imaging*; D011859:Radiography; D014054:Tomography / Q000379:methods*