On the multi-frequency obstacle reconstruction via the linear sampling method

• Published in: Inverse problems Vol. 26; no. 12; p. 125005
• Main Authors: Guzina, Bojan B, Cakoni, Fioralba, Bellis, Cédric
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 01.12.2010; Institute of Physics
• Subjects: Exact sciences and technology; Mechanics; Physics; Solid mechanics; Near field; Wavelets; Inverse problems; Disturbances; Eigenvalues; Far field; Dirichlet problem; Performance; Approximate solution

This paper investigates the possibility of multi-frequency reconstruction of sound-soft and penetrable obstacles via the linear sampling method involving either far-field or near-field observations of the scattered field. On establishing a suitable approximate solution to the linear sampling equatio...