Quantum imaging and inverse scattering

Quantum imaging and inverse scattering.

We consider the inverse scattering problem that arises in two-photon quantum imaging with interferometric measurements. We show that the two-point correlation function of the field contains information about the scattering medium at a spatial frequency of twice the Rayleigh bandwidth. The linearized inverse problem, however, yields reconstructions with a resolution of λ/2, where λ is the wavele...

Inverse Scattering and Imaging

Generalized Quantum Inverse Scattering

A generalization of the quantum inverse scattering method is proposed replacing the quantum group RLL commutation relations of Lax operators by reflection equation type RLRL commutation relations. Under some natural assumptions the most general algebra of this type allowing to construct the neccessary integrals of ⋆ Supported by the Science and Technology Fellowship Programme for Japan under th...

Density imaging using inverse scattering.

Inverse scattering is considered one of the most robust and accurate ultrasonic tomography methods. Most inverse scattering formulations neglect density changes in order to reconstruct sound speed and acoustic attenuation. Some studies available in literature suggest that density distributions can also be recovered using inverse scattering formulations. Two classes of algorithms have been ident...

Inverse scattering and acousto-optic imaging.

We propose a tomographic method to reconstruct the optical properties of a highly scattering medium from incoherent acousto-optic measurements. The method is based on the solution to an inverse problem for the diffusion equation and makes use of the principle of interior control of boundary measurements by an external wave field.