ELECTROMAGNETIC INVERSE PROBLEMS AND GENERALIZED SOMMERFELD POTENTIALS

In this article we study the inverse boundary value problem for Maxwel l's equation; that is, we determine the scalar permeability, permissib ility, and conductivity of a body from electromagnetic field measureme nts outside the body. In this paper, the problem is approached by usin g certain generalized Sommerfeld potentials that are shown to satisfy a vector-valued Schrodinger equation. By using these potentials, the i nverse boundary value problem is reduced to the problem of determining the potential of this second-order operator. Further, it is shown tha t the electromagnetic material parameters can be determined by using e lectric or magnetic dipole point sources only.