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Numerical Methods for Inverse Scattering Problems
This book highlights the latest developments on the numerical methods for inverse scattering problems associated with acoustic, electromagnetic, and...
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Spectral Geometry and Inverse Scattering Theory
Inverse scattering problems are a vital subject for both theoretical and experimental studies and remain an active field of research in applied...
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Notes on Inverse Compton Scattering
AbstractThe paper deals with kinematic conditions for the inverse Compton scattering of photons by relativistic electrons and polarizations of the...
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Numerical Inverse Electromagnetic Scattering Problems
The chapter is concerned with the inverse scattering problem of reconstructing an inhomogeneous scatterer located in an otherwise homogeneous space...
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Numerical Inverse Acoustic Scattering Problems
We would like to point out that many numerical reconstruction methods have been developed for inverse scattering problems in various scenarios, such...
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Numerical Inverse Elastic Scattering Problems
The elastic wave propagation problems have a wide range of applications, particularly in geophysics, nondestructive testing and seismology. The...
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Inverse Conductive Medium Scattering with Unknown Buried Objects
This paper is concerned with inverse acoustic scattering in an inhomogeneous medium with a conductive boundary condition and the unknown buried...
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Solving the modified Camassa–Holm equation via the inverse scattering transform
AbstractWith the aid of the reciprocal transformation and the associated equation, we study the inverse scattering transform with a matrix...
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Algorithms for Solving the Inverse Scattering Problem for the Manakov Model
AbstractThe paper considers algorithms for solving inverse scattering problems based on the discretization of the Gelfand–Levitan–Marchenko integral...
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On the Numerical Solution to an Inverse Medium Scattering Problem
This paper is concerned with the inverse medium scattering problem of determining the location and shape of penetrable scattering objects from...
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Inverse scattering problem by the use of vortex Bessel beams
A major application of the inverse scattering and tomography methods is imaging all types of structural, physical, chemical and biological features...
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Inverse Scattering Problem and Microwave Mammography
There had been two approaches for visualising the tissues within an area of interest in the body. One involves the steps of acquiring shadowgraphs...
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Stability for Inverse Electromagnetic Obstacle Scattering Problems
In this chapter, we deal with the stability issue for the inverse obstacle problem associated with the electromagnetic scattering. We follow the...
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Fast Numerical Method of Second Order of Accuracy for Solving the Inverse Scattering Problem
AbstractA method is proposed for solving the inverse scattering problem formulated in the form of the Gelfand–Levitan–Marchenko integral equations....
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Inverse scattering transform for a nonlinear lattice equation under non-vanishing boundary conditions
Under investigation in this paper is the inverse scattering transform for a nonlinear lattice equation, which can be used to study the fluctuation of...
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Inverse scattering transform for the nonlocal Gerdjikov–Ivanov equation with simple and double poles
We systematically investigate the nonlocal Gerdjikov-Ivanov (nGI) equation with non-vanishing boundary conditions by means of the inverse scattering...
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Constructive Solution to Inverse Scattering Problem for Differential Systems with a Singularity
AbstractThe inverse scattering problem for differential systems with a singularity is considered. The problem is reduced to a certain linear...
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Full Wave Inversion and Inverse Scattering in Ultrasound Tomography/Volography
Ultrasound breast tomography has been around for more than 40 years. Early approaches to reconstruction focused on simple algebraic reconstructions...