ON THE RECONSTRUCTION OF DIELECTRIC OBJECTS FROM SCATTERED FIELD DATAUSING THE HEITLER EQUATION

The problem of determining a scattering potential from scattered field data, is addressed within the Heitler equation. This equation relates the on shell components of the T matrix directly to the scattering: p otential. This relationship leads to a novel iterative reconstruction algorithm for recovering the distribution of the possibly complex inde x of refraction of the scattering potential from measurements of the s cattered field outside the potential at a single frequency. Reconstruc tions of cylindrical objects from data obtained in a suite of scatteri ng experiments show that the method can handle relatively large object s compared to the wavelength whose index of refraction is close to the index of refraction of the surrounding medium.