Results 11 to 20 of about 35,653 (239)

An Approach to Solving Direct and Inverse Scattering Problems for Non-Selfadjoint Schrödinger Operators on a Half-Line

open access: yesMathematics, 2023
In this paper, an approach to solving direct and inverse scattering problems on the half-line for a one-dimensional Schrödinger equation with a complex-valued potential that is exponentially decreasing at infinity is developed.
Vladislav V. Kravchenko   +1 more
doaj   +1 more source

Electromagnetic Inverse Scattering of Rotating Axisymmetric Objects

open access: yesIEEE Access, 2021
The electromagnetic inverse scattering problem for rotating axisymmetric objects is studied. A modification of a previously proposed two-step algorithm is adopted to obtain the first solutions to the problems of interest.
Praveen Kalarickel Ramakrishnan   +2 more
doaj   +1 more source

Spectral, Scattering and Dynamics: Gelfand–Levitan–Marchenko–Krein Equations

open access: yesMathematics, 2023
In this paper, we consider the Gelfand–Levitan–Marchenko–Krein approach. It is used for solving a variety of inverse problems, like inverse scattering or inverse problems for wave-type equations in both spectral and dynamic formulations.
Sergey Kabanikhin   +3 more
doaj   +1 more source

Scattering and inverse scattering on ACH manifolds [PDF]

open access: yesJournal für die reine und angewandte Mathematik (Crelles Journal), 2008
We study scattering and inverse scattering theories for asymptotically complex hyperbolic manifolds. We show the existence of the scattering operator as a meromorphic family of operators in the Heisenberg calculus on the boundary, which is a contact manifold with a pseudohermitian structure.
Guillarmou, Colin, Sá Barreto, Antônio
openaire   +4 more sources

An Integrable Evolution System and Its Analytical Solutions with the Help of Mixed Spectral AKNS Matrix Problem

open access: yesMathematics, 2022
In this work, a novel integrable evolution system in the sense of Lax’s scheme associated with a mixed spectral Ablowitz-Kaup-Newell-Segur (AKNS) matrix problem is first derived.
Sheng Zhang, Jiao Gao, Bo Xu
doaj   +1 more source

Metric entropy in linear inverse scattering

open access: yesAdvanced Electromagnetics, 2016
The role of multiple views and/or multiple frequencies on the achievable performance in linear inverse scattering problems is addressed. To this end, the impact of views and frequencies on the Kolmogorov entropy measure is studied.
M. A. Maisto, R. Solimene, R. Pierri
doaj   +1 more source

Inverse scattering problem in turbulent magnetic fluctuations [PDF]

open access: yesAnnales Geophysicae, 2016
We apply a particular form of the inverse scattering theory to turbulent magnetic fluctuations in a plasma. In the present note we develop the theory, formulate the magnetic fluctuation problem in terms of its electrodynamic turbulent response ...
R. A. Treumann   +3 more
doaj   +1 more source

A Conditioned Probabilistic Method for the Solution of the Inverse Acoustic Scattering Problem

open access: yesMathematics, 2022
In the present work, a novel stochastic method has been developed and investigated in order to face the time-reduced inverse scattering problem, governed by the Helmholtz equation, outside connected or disconnected obstacles supporting boundary ...
Antonios Charalambopoulos   +2 more
doaj   +1 more source

Gamma-ray vortices from nonlinear inverse Thomson scattering of circularly polarized light

open access: yesScientific Reports, 2017
Inverse Thomson scattering is a well-known radiation process that produces high-energy photons both in nature and in the laboratory. Nonlinear inverse Thomson scattering occurring inside an intense light field is a process which generates higher harmonic
Yoshitaka Taira   +2 more
doaj   +1 more source

Non-invasive mesurements of transparent fibres

open access: yesMetrology and Measurement Systems, 2020
This paper presents a non-invasive measurement method for simultaneous characterization of diameter and refractive index of transparent fibres. The method is based on scattering of a polychromatic beam of light by a side-illuminated fibre under study ...
Świrniak Grzegorz
doaj   +1 more source

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