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Live load matrix recovery from scattering data in linear elasticity
We study the numerical approximation of the inverse scattering problem in the two-dimensional homogeneous isotropic linear elasticity with an unknown...
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Solution to Infinity Problem of Scattering Matrix Using Time-Evolution Operators Without Needing Renormalization
The current situation of research challenging the demanding tasks of renormalization implies that the present framework of quantum scattering theory...
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Scattering problems of impulsive Schrödinger equations with matrix coefficients
In this paper, we set an impulsive boundary value problem for matrix valued Schrödinger equation on the semi axis. We first introduce some solutions...
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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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Band Edge Limit of the Scattering Matrix for Quasi-One-Dimensional Discrete Schrödinger Operators
This paper is about the scattering theory for one-dimensional matrix Schrödinger operators with a matrix potential having a finite first moment. The...
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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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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...
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Direct and Inverse Scattering for the Matrix Schrödinger Equation
Authored by two experts in the field who have been long-time collaborators, this monograph treats the scattering and inverse scattering problems for...
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Scattering diagrams in mirror symmetry
Since the pioneering work of Kontsevich and Soibelman (in: The unity of mathematics, Springer, Berlin, 2006), scattering diagrams have started...
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The Sasa-Satsuma Equation on a Non-Zero Background: The Inverse Scattering Transform and Multi-Soliton Solutions
We concentrate on the inverse scattering transformation for the Sasa-Satsuma equation with 3 × 3 matrix spectrum problem and a nonzero boundary...
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Mathematical Scattering Theory in Quantum and Acoustic Waveguides
We consider a waveguide that occupies a domain G with several cylindrical ends and is descried by the nonstationary equation
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A Survey of Scattering Theory on Riemann Surfaces with Applications in Global Analysis and Geometry
This paper gives an overview of our work on a scattering theory of one-forms and functions in a system of quasicircles on Riemann surfaces. It is...
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The Matrix Schrödinger Equation and the Characterization of the Scattering Data
In this chapter we describe the basic ingredients of the direct and inverse scattering problems for the matrix Schrödinger equation on the half line...
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Volume integral operators in electromagnetic scattering by homogeneous anisotropic dielectric bodies
Scattering of time-harmonic electromagnetic waves by penetrable, anisotropic dielectric obstacles admits an equivalent formulation in terms of a...
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Application of Mosaic-Skeleton Approximations of Matrices in the Physical Optics Method for Electromagnetic Scattering Problems
AbstractThe paper considers a physical optics model based on the Kirchhoff–MacDonald approximation taking into account re-reflections for solving...
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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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Scattering by Rough Obstacles
In this chapter the goal is to provide a unified approach to scattering theory in rough settings which is also aimed at identifying the broadest...
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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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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...