MANAGEABLE MULTIDIMENSIONAL INVERSE SCATTERING-THEORY

Established theoretical techniques for inferring the constitution of more-than-one-dimensional bodies probed by linear scalar (or singly polarized vector) wave motion are fitted into a systematic theoretical development. It is concluded that what are now most needed are computationally manageable (and efficient) approaches of accuracy intermediate between the simplistic algorithms employed in virtually all important practical systems (e.g., radar, sonar, computed tomography, seismology) and the computationally intensive exact methods. A possible basis for such an approach is suggested.