D. Colton et al., A NEW ALGORITHM IN ELECTROMAGNETIC INVERSE SCATTERING-THEORY WITH AN APPLICATION TO MEDICAL IMAGING, Mathematical methods in the applied sciences, 20(5), 1997, pp. 385-401
We consider the electromagnetic inverse scattering problem of determin
ing the index of refraction of an isotropic inhomogeneous medium from
a knowledge of the total electric near field data. We consider both th
e case of scattering by an infinite inhomogeneous cylinder and a bound
ed inhomogeneous region in space. We conclude by giving an application
of our method to the problem of imaging leukemia in the upper leg by
means of microwaves. (C) 1997 by B. G. Teubner Stuttgart-John Wiley &
Sons Ltd.