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Inverse scattering problem for linear system of four-wave interaction problem with equal number of incident and scattered waves
The first order semi-strict hyperbolic system on the semi-axis in the case of equal number of incident and scattered waves are considered. The...
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Inverse Problems in Radiative Transfer: An Implicit Formulation
In this chapter, some basic concepts in inverse problems are presented, with a focus on application in radiative transfer. A brief discussion is also... -
Phaseless inverse uniqueness of a three-dimensional scattering problem of second type
In this paper we discuss the phaseless inverse scattering problem in mathematical physics. We measure only the intensity of scattered wave field in...
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Elastic Scattering at a Threshold
We will devote the rest of this monograph to applications of the previous chapters to scattering phenomena in a small energy regime slightly above a... -
Inverse resonance scattering for Dirac operators on the half-line
We consider massless Dirac operators on the half-line with compactly supported potentials. We solve the inverse problems in terms of Jost function...
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New computational methods for inverse wave scattering with a new filtering technique
This note is concerned with inverse wave scattering in one and two dimensional domains. It seeks to recover an unknown function based on measurements...
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Inverse resonance problems with the discontinuous conditions
In this paper, we consider the inverse resonance problems for the discontinuous and non-selfadjoint Sturm-Liouville problem. We prove the uniqueness...
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Scattering theory with unitary twists
We study the spectral properties of the Laplace operator associated to a hyperbolic surface in the presence of a unitary representation of the...
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A numerical comparison of different qualitative algorithms for solving 2D inverse elastic scattering problems
In this paper, we numerically compare several well-established and recent qualitative algorithms for the shape reconstruction of obstacles in elastic...
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Inverse Diffraction Grating
In the previous chapters, we have studied the direct diffraction grating problems, which are to compute the wave fields for the given periodic... -
An Inverse Scattering Problem
We consider acoustic waves that travel in a medium such as a fluid. Let v(x, t) be the velocity vector of a particle at... -
Determining radially symmetric potential from far-field scattering data
We consider an inverse problem in scattering of plane waves by a two dimensional radially-symmetric potential. The mathematical model of our problem...
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Geometric Scattering Monodromy
In this paper we give geometric conditions so that the integral map** of a Liouville integrable Hamiltonian system with a focus-focus equilibrium...
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Inverse Problem of Pure Bending of a Beam under Creep Conditions
AbstractWe propose an algorithm for solving the inverse problem of forming structural members under creep conditions using the Nelder–Mead...
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Inverse Spectral Problem for the Third-Order Differential Equation
This paper is concerned with the inverse spectral problem for the third-order differential equation with distribution coefficient. The inverse...
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A high-order algorithm for time-domain scattering in three dimensions
The ubiquitous scattering of time-dependent waves in free-space exterior to bounded configurations is fundamental for numerous applications....
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An Inverse Problem for a Hyperbolic Integro-Differential Equation in a Bounded Domain
AbstractWe consider the inverse problem of finding the kernel of the integral term in an integro-differential equation. The problem of finding the...
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Inverse Scattering Transform Method
Inverse scattering transform method In this chapter we give a brief description of a spectacular and very important application of the direct and... -
A Hausdorff-measure boundary element method for acoustic scattering by fractal screens
Sound-soft fractal screens can scatter acoustic waves even when they have zero surface measure. To solve such scattering problems we make what...