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Abstract: |
This talk is concerned with recent results on passive imaging problems, i.e. inverse scattering problems with randomly excited waves. More specifically, we study such problems in two applications: The identification of source strengths in experimental aeroacoustics and helioseismic holography. In experimental aeroacoustics one aims to identify sources of noise in wind tunnel experiments, e.g. for air planes or for cars. Helioseismic holography allows to image coefficients in the time-harmonic equation for sound waves in the Sun from Doppler shift measurements of the line-of-sight velocity of the solar surface. This method has been successful in imaging sun spots on the far side of the Sun which allows for reliable space weather prediction. In both of these applications turbulent convection acts as random source. We discuss several recent uniqueness results for these passive imaging problems. In the last part of this talk we propose some new iterative reconstruction algorithms, relate them to existing methods in the literature, and present some numerical results both for simulated and experimental data. |
