We propose a new reverse time migration method for reconstructing extended obstacles in the planar waveguide using acoustic waves at a fixed frequency. We prove the resolution of the reconstruction method in terms of ...We propose a new reverse time migration method for reconstructing extended obstacles in the planar waveguide using acoustic waves at a fixed frequency. We prove the resolution of the reconstruction method in terms of the aperture and the thickness of the waveguide. The resolution analysis implies that the imaginary part of the cross-correlation imaging function is always positive and thus may have better stability properties.Numerical experiments are included to illustrate the powerful imaging quality and to confirm our resolution results.展开更多
We propose a reliable direct imaging method based on the reverse time migration for finding extended obstacles with phaseless total field data.We prove that the imaging resolution of the method is essentially the same...We propose a reliable direct imaging method based on the reverse time migration for finding extended obstacles with phaseless total field data.We prove that the imaging resolution of the method is essentially the same as the imaging results using the scattering data with full phase information when the measurement is far away from the obstacle.The imaginary part of the cross-correlation imaging functional always peaks on the boundary of the obstacle.Numerical experiments are included to illustrate the powerful imaging quality.展开更多
基金supported by National Key Basic Research Program of China(973 Program)(Grant No.2011CB309700)National Natural Science Foundation of China(Grant Nos.11021101 and11321061)
文摘We propose a new reverse time migration method for reconstructing extended obstacles in the planar waveguide using acoustic waves at a fixed frequency. We prove the resolution of the reconstruction method in terms of the aperture and the thickness of the waveguide. The resolution analysis implies that the imaginary part of the cross-correlation imaging function is always positive and thus may have better stability properties.Numerical experiments are included to illustrate the powerful imaging quality and to confirm our resolution results.
基金supported by National Basic Research Project under the grant 2011CB309700China NSF under the grants 11021101 and 11321061.
文摘We propose a reliable direct imaging method based on the reverse time migration for finding extended obstacles with phaseless total field data.We prove that the imaging resolution of the method is essentially the same as the imaging results using the scattering data with full phase information when the measurement is far away from the obstacle.The imaginary part of the cross-correlation imaging functional always peaks on the boundary of the obstacle.Numerical experiments are included to illustrate the powerful imaging quality.
