ABSTRACT

This chapter explains how to identification of acoustically soft solids of revolution in a waveguide using the Intersecting Canonical Body Approximation (ICBA) method. The ICBA is an obstacle reconstruction technique introduced by T. Scotti and A. Wirgin. ICBA seeks the radius of the scattering surface by minimizing the discrepancy between the measured total field and the field that would arise from scattering off of a canonical body for which the scattered field has an explicit formula. The chapter considers the case where a single source/receiver unit emits a monochromatic plane wave from a position and measures the resulting field at the same position. The ICBA method seeks to find the global minimum of the objective function at a specified direction. As near-null values of the field seem to become more prevalent as the axis-to-receiver distance increases, ICBA can be expected to be successful at short distances without post-processing, but at greater distances some filtering algorithm will be necessary.