Inverse Problems and Imaging (IPI)

Local stability for soft obstacles by a single measurement

Pages: 301 - 315, Volume 2, Issue 2, May 2008      doi:10.3934/ipi.2008.2.301

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Eva Sincich - RICAM, Altenbergerstrasse 69, A4040, Linz, Austria (email)
Mourad Sini - RICAM, Altenbergerstrasse 69, A4040, Linz, Austria (email)

Abstract: We consider an inverse scattering problem arising in target identification. We prove a local stability result of logarithmic type for the determination of a sound soft obstacle from the far field measurements associated to one single incident wave.

Keywords:  inverse scattering problem, soft obstacles, stability.
Mathematics Subject Classification:  Primary: 35R30, 35R25; Secondary: 31B20.

Received: October 2007;      Revised: March 2008;      Available Online: April 2008.