نتایج جستجو برای: inverse scattering problem

تعداد نتایج: 1055612  

2013
By F. Demontis B. Prinari C. van der Mee F. Vitale

A rigorous theory of the inverse scattering transform for the defocusing nonlinear Schrödinger equation with nonvanishing boundary values q± ≡ q0e± as x → ±∞ is presented. The direct problem is shown to be well posed for potentials q such that q − q± ∈ L1,2(R±), for which analyticity properties of eigenfunctions and scattering data are established. The inverse scattering problem is formulated a...

Journal: :SIAM Journal of Applied Mathematics 1999
Lassi Päivärinta Rainer Kress

We will establish far eld identities for the scattering of time-harmonic acoustic waves from sound-soft and sound-hard obstacles and will illustrate two applications of these identities for the inverse obstacle scattering problem. Firstly, we will provide an alternate proof for the Fr echet diierentiability of the far eld pattern with respect to the boundary. Secondly, we will connect the ident...

2014
Farid Monsefi

Mathematical modeling and algorithms of direct,and inverse electromagnetic scattering formulation due to biological tissues are investigated. The algorithms are used for a model based illustration technique within the microwave range. A number of methods is given to solve the direct,and inverse electromagnetic scattering problem in which the nonlinear and ill-posed nature of the problem are ack...

Journal: :Optics letters 2010
John C Schotland

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...

2000
A. Foerster

The Bariev model with open boundary conditions is introduced and analysed in detail in the framework of the Quantum Inverse Scattering Method. Two classes of independent boundary reflecting K-matrices leading to four different types of boundary fields are obtained by solving the reflection equations. The models are exactly solved by means of the algebraic nested Bethe ansatz method and the four...

2008
ANNE BOUTET GERALD TESCHL

We develop direct and inverse scattering theory for one-dimensional Schrödinger operators with steplike potentials which are asymptotically close to different finite-gap potentials on different half-axes. We give a complete characterization of the scattering data, which allow unique solvability of the inverse scattering problem in the class of perturbations with finite second moment.

2007
Edwin A. Marengo

This research program is aimed at deriving and elucidating non-iterative approaches to the nonlinear inverse scattering problem including multiple scattering. They are applicable to certain classes of scatterers which go beyond the class of Born-approximable scatterers (they form a broader class). Two variants of the problem are of interest: 1) The support inversion or shape reconstruction prob...

2007
ANNE BOUTET

We develop direct and inverse scattering theory for one-dimensional Schrödinger operators with steplike potentials which are asymptotically close to different finite-gap periodic potentials on different half-axes. We give a complete characterization of the scattering data, which allow unique solvability of the inverse scattering problem in the class of perturbations with finite second moment.

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