SOLUTION OF THE 2-DIMENSIONAL ACOUSTICAL INVERSE SCATTERING PROBLEM ON THE BASIS OF FUNCTIONAL-ANALYTIC METHODS .2. RANGE OF EFFECTIVE APPLICATION

Aspects of the practical implementation of an algorithm for reconstruc ting the spatial structure of a two-dimensional scatterer of moderate strength in monochromatic sensing are analyzed. The algorithm is appli cable to both nonabsorbing and absorbing scatterers. The frequency ran ge of the sensing waves for maximum reliability of the reconstruction results is estimated. The role of redundancy of the scattering data is investigated; when multiple scattering is taken into account, the red undancy factor is determined by the square (for the two-dimensional pr oblem) of the number of scattering orders taken into account. A simple procedure is discussed for stabilizing the solution against noise hav ing a twofold origin: ambient noise and the inherent infinite extent o f the spatial spectrum of a scatterer having finite dimensions. The es timated rms relative error of scatterer reconstruction with multiple s cattering taken into account is smaller than in the Born approximation , owing to the large redundancy of the data.