@article{oai:tsukuba.repo.nii.ac.jp:00018423, author = {磯崎, 洋 and Ide, Takanori and Isozaki, Hiroshi and Nakata, Susumu and Siltanen, Samuli and Uhlmann, Gunther}, issue = {10}, journal = {Communications on pure and applied mathematics}, month = {Oct}, note = {application/pdf, Let a physical body in 2 or 3 be given. Assume that the electric conductivity distribution inside consists of conductive inclusions in a known smooth background. Further, assume that a subset is available for boundary measurements. It is proved using hyperbolic geometry that certain information about the location of the inclusions can be exactly recovered from static electric measurements on . More precisely: given a ball B with center outside the convex hull of and satisfying ( ) , boundary measurements on with explicitly given Dirichlet data are enough to determine whether B intersects the inclusion. An approximate detection algorithm is introduced based on the theory. Numerical experiments in dimension two with simulated noisy data suggest that the algorithm finds the inclusion-free domain near and is robust against measurement noise.}, pages = {1415--1442}, title = {Probing for electrical inclusions with complex spherical waves}, volume = {60}, year = {2007} }