Ultrasound Obstacle Identification using the Boundary Element and Topological Derivative Methods

ADRIÁN P. CISILINO; CARLA MOTA ANFLOR

Model-Based and Signal-Based Inverse Methods

Universidade de Brasilia

Lugar: Brasilia; Año: 2022; p. 269 - 300

This chapter gathers together the key concepts of acoustic scattering and the inverse identification problems, the explicit expressions of the topological derivative for sound-hard and penetrable obstacles, and the key features of to solve the inverse identification problem numerically using the Boundary Ele- ment Method. Special attention is given to the implementation for the cases in which the search area has pre-existent obstacles, either sound-hard, penetrable or combination of both. Thus, a general BEM implementation framework is provided, which might be used by the reader to develop its own specific appli- cation. Several examples for sound-hard obstacles are used to demonstrate the performance of the method.