In this paper,we establish the unique determination result for inverse acoustic scattering of a penetrable obstacle with a general conductive boundary condition by using phaseless far field data at a fixed frequency.I...In this paper,we establish the unique determination result for inverse acoustic scattering of a penetrable obstacle with a general conductive boundary condition by using phaseless far field data at a fixed frequency.It is well-known that the modulus of the far field pattern is invariant under translations of the scattering obstacle if only one plane wave is used as the incident field,so it is impossible to reconstruct the location of the underlying scatterers.Based on some new research results on the impenetrable obstacle and inhomogeneous isotropic medium,we consider different types of superpositions of incident waves to break the translation invariance property.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
文摘In this paper,we establish the unique determination result for inverse acoustic scattering of a penetrable obstacle with a general conductive boundary condition by using phaseless far field data at a fixed frequency.It is well-known that the modulus of the far field pattern is invariant under translations of the scattering obstacle if only one plane wave is used as the incident field,so it is impossible to reconstruct the location of the underlying scatterers.Based on some new research results on the impenetrable obstacle and inhomogeneous isotropic medium,we consider different types of superpositions of incident waves to break the translation invariance property.
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.
