搜索结果: 1-15 共查到“Inverse scattering”相关记录17条 . 查询时间(0.076 秒)
«Paralipomena» on uniqueness in inverse scattering from a finite number of data
Fourier transform diffraction tomography inverse scattering
2015/9/2
This paper shows new proof of non-uniqueness of the solution for the retrieving of a compact-supported function starting from a finite number of samples of its spectrum. As will be shown, this is rele...
Two dimensional inverse scattering from buried magnetic anomalies
ground penetrating radar magnetic anomalies electromagnetic scattering microwave tomography linear inverse scattering
2015/9/1
This paper deals with the problem of the electromagnetic linear inverse scattering from magnetic anomalies
buried in a lossy half space, for a scalar and two dimensional case. First, the formulation ...
A Direct Sampling Method for Inverse Scattering Using Far-Field Data
Direct Sampling Method Inverse Scattering Using Far-Field Data Mathematical Physics
2012/6/21
This work is concerned with a direct sampling method (DSM) for inverse acoustic scattering problems using far-field data. The method characterizes some unknown obstacles, inhomogeneous media or cracks...
Inverse scattering transform for the Degasperis-Procesi equation: a Riemann-Hilbert approach
Degasperis–Procesi equation Camassa–Holm equation inverse scattering trans-form Riemann–Hilbert problem asymptotics
2011/10/10
Abstract: We present the inverse scattering transform approach to the Cauchy problem on the line for the Degasperis-Procesi equation $u_{txx}-2u_x+2u_xu_{xx}+uu_{xxx}=0$ in the form of an associated R...
On the determinant formula in the inverse scattering procedure with a partially known steplike potential
Marchenko inverse scattering Schrodinger operator Titchmarsh-Weyl m− function
2011/9/13
Abstract: We are concerned with the inverse scattering problem for the full line Schr\"odinger operator $-\partial_x^2+q(x)$ with a steplike potential $q$ a priori known on $\Reals_+=(0,\infty)$. Assu...
Uniqueness of the solution to inverse scattering problem with scattering data at a fixed direction of the incident wave
inverse scattering non-overdetermined data fixed direction of the incident wave scattering data
2011/1/21
Let q(x) be real-valued compactly supported sufficiently smooth func-tion. It is proved that the scattering data A( , 0, k) 8 2 S2, 8k > 0, determine q uniquely. Here 0 2 S2 is a fixed direction of...
Exponential instability in the inverse scattering problem on the energy interval
Exponential instability inverse energy interval
2011/2/28
We consider the inverse scattering problem on the energy interval in three dimensions.We are focused on stability and instability questions for this problem. In particular,we prove an exponential inst...
Linearized inverse scattering based on seismic Reverse Time Migration
Linearized inverse seismic Reverse Time Migration
2011/2/23
In this paper we study the linearized inverse problem associated with imaging of re ection seismic data.
Two-component {CH} system: Inverse Scattering, Peakons and Geometry
Two-component {CH} system Inverse Scattering Peakons and Geometry
2010/12/16
An inverse scattering transform method corresponding to a Riemann-Hilbert problem is formulated for CH2, the two-component generalization of the Camassa-Holm (CH) equa-tion. As an illustration of the ...
Approximate asymptotic integration of a higher order water-wave equation using the inverse scattering transform
Approximate asymptotic integration water-wave equation inverse scattering transform
2009/11/13
The complete mathematical and physical characterization of nonlinear water wave dynamics has been an important goal since the fundamental partial differential equations were discovered by Euler over 2...
Internal gravity waves:Analysis using the periodic,inverse scattering transform
Internal gravity waves periodic,inverse scattering transform
2009/11/13
The discrete periodic inverse scattering transform (DPIST) has been shown to provide the salient features of nonlinear Fourier analysis for surface shallow water waves whose dynamics are governed by t...
Complete Sets of Radiating and Nonradiating Parts of a Source and Their Fields with Applications in Inverse Scattering Limited-Angle Problems
Inverse Scattering Limited-Angle Problems Source
2009/9/8
Many algorithms applied in inverse scattering problems use source-field systems instead of the direct computation of the unknown scatterer. It is well known that the resulting source problem does not ...
A 3D LINEARIZED INVERSE SCATTERING METHOD FOR SCATTERERS IN A TWO LAYERED MEDIUM
ultrasonic testing linearized inverse scattering analysis layered Medium aperture limitation
2008/12/25
This paper presents a 3D linearized inverse scattering method for shape reconstruction of obstacles in a two layered medium. The problem here is to estimate the shape of an obstacle embedded in the b...
Inverse Scattering for a Schrodinger Operator with a Repulsive Potential
Inverse scattering Repulsive potential
2007/12/11
We consider a pair of Hamiltonians $(H, H_0 )$ on $L^2 ({\Bbb R}^n ),$ where $H_0 = p^2 -x^2$ is a Schr\" odinger operator with a repulsive potential, and $H= H_0 +V(x)$. We show that, under suitable ...
Demonstration of Inverse Scattering Transform for DNLS Equation
inverse scattering transform soliton solutions Liouville theorem
2007/8/15
2007Vol.48No.2pp.299-303DOI:
Demonstration of Inverse Scattering Transform for DNLS Equation
YANG Chun-Nuan, YU Jia-Lu, WANG Qu-Quan, and HUANG Nian-Ning
Department of P...