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The linear sampling method for cracks
 INVERSE PROBLEMS
, 2003
"... We consider the inverse scattering problem of determining the shape of an infinite cylinder having an open arc as cross section from a knowledge of the TMpolarized scattered electromagnetic field corresponding to timeharmonic incident plane waves propagating from arbitrary directions. We assume th ..."
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Cited by 2 (0 self)
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that thearc is a (possibly) partially coated perfect conductor and develop the linear sampling method, which was originally developed for solving the inverse scattering problem for obstacles with nonempty interior, to include the above case of obstacles with empty interior.
On The Mathematical Basis Of The Linear Sampling Method
"... . The linear sampling method is an algorithm for solving the inverse scattering problem for acoustic and electromagnetic waves. There are two versions of the linear sampling method. Although the second version is on a rm mathematical foundation, it is restricted to the case of nonabsorbing media, fu ..."
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Cited by 5 (4 self)
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. The linear sampling method is an algorithm for solving the inverse scattering problem for acoustic and electromagnetic waves. There are two versions of the linear sampling method. Although the second version is on a rm mathematical foundation, it is restricted to the case of nonabsorbing media
The linear sampling method for anisotropic media
, 2002
"... We consider the inverse scattering problem of determining the support of an anisotropic inhomogeneous medium from a knowledge of the incident and scattered time harmonic acoustic wave at fixed frequency. To this end, we extend the linear sampling method from the isotropic case to the case of anisotr ..."
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Cited by 37 (19 self)
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We consider the inverse scattering problem of determining the support of an anisotropic inhomogeneous medium from a knowledge of the incident and scattered time harmonic acoustic wave at fixed frequency. To this end, we extend the linear sampling method from the isotropic case to the case
The linear sampling method and the MUSIC algorithm
 Inverse Problems
, 2001
"... This article gives a short tutorial on the MUSIC algorithm and the linear sampling method of [3], and explains how the latter is an extension of the former. 1 MUSIC MUSIC is an abbreviation for MUltiple SIgnal Classification [10]; we see below why the name is appropriate. 1.1 The basics of MUSIC MUS ..."
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Cited by 39 (1 self)
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This article gives a short tutorial on the MUSIC algorithm and the linear sampling method of [3], and explains how the latter is an extension of the former. 1 MUSIC MUSIC is an abbreviation for MUltiple SIgnal Classification [10]; we see below why the name is appropriate. 1.1 The basics of MUSIC
MULTILEVEL LINEAR SAMPLING METHOD FOR INVERSE SCATTERING PROBLEMS
, 2008
"... A novel multilevel algorithm is presented for implementing the widely used linear sampling method in inverse obstacle scattering problems. The new method is shown to possess asymptotically optimal computational complexity. For an n × n sampling mesh in R2 or an n × n × n sampling mesh in R3, the pro ..."
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Cited by 2 (1 self)
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A novel multilevel algorithm is presented for implementing the widely used linear sampling method in inverse obstacle scattering problems. The new method is shown to possess asymptotically optimal computational complexity. For an n × n sampling mesh in R2 or an n × n × n sampling mesh in R3
An improved time domain linear sampling method for Robin and
 Neumann obstacles, Inria, October 2012, no RR7835
"... We consider inverse obstacle scattering problems for the wave equation with Robin or Neumann boundary conditions. The problem of reconstructing the geometry of such obstacles from measurements of scattered waves in the time domain is tackled using a time domain linear sampling method. This imaging ..."
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Cited by 4 (0 self)
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We consider inverse obstacle scattering problems for the wave equation with Robin or Neumann boundary conditions. The problem of reconstructing the geometry of such obstacles from measurements of scattered waves in the time domain is tackled using a time domain linear sampling method. This imaging
Analysis of a Linear Sampling Method for Identification of Obstacles
, 2005
"... Some difficulties are pointed out in the methods for identification of obstacles based on the numerical verification of the inclusion of a function in the range of an operator. Numerical examples are given to illustrate theoretical conclusions. Alternative methods of identification of obstacles are ..."
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Some difficulties are pointed out in the methods for identification of obstacles based on the numerical verification of the inclusion of a function in the range of an operator. Numerical examples are given to illustrate theoretical conclusions. Alternative methods of identification of obstacles
The Linear Sampling Method For Solving The Electromagnetic Inverse Scattering Problem
"... We consider the inverse scattering problem of determining the shape of an obstacle in R³ from a knowledge of the time harmonic incident electromagnetic wave and the far eld pattern of the scattered wave with frequency in the resonance region. The approach used is the linear sampling method which doe ..."
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Cited by 22 (9 self)
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We consider the inverse scattering problem of determining the shape of an obstacle in R³ from a knowledge of the time harmonic incident electromagnetic wave and the far eld pattern of the scattered wave with frequency in the resonance region. The approach used is the linear sampling method which
A NEW LINEAR SAMPLING METHOD FOR THE ELECTROMAGNETIC IMAGINING OF BURIED OBJECTS
"... We present a new linear sampling method for determining the shape of scattering objects imbedded in a known inhomogeneous medium from a knowledge of the scattered electromagnetic field due to a point source incident field at fixed frequency. The method does not require any a prior information on the ..."
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We present a new linear sampling method for determining the shape of scattering objects imbedded in a known inhomogeneous medium from a knowledge of the scattered electromagnetic field due to a point source incident field at fixed frequency. The method does not require any a prior information
On the feasibility of the linear sampling method for 3D GPR surveys
 Progress In Electromagnetics Research
, 2011
"... Abstract—We discuss the applicability of the Linear Sampling Method (LSM) to GPR surveys carried out using arraybased configurations. Since the images achieved via LSM are known to get worse when using a small number of antennas and a limited aperture, we introduce an analytic tool to foresee the e ..."
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Cited by 4 (1 self)
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Abstract—We discuss the applicability of the Linear Sampling Method (LSM) to GPR surveys carried out using arraybased configurations. Since the images achieved via LSM are known to get worse when using a small number of antennas and a limited aperture, we introduce an analytic tool to foresee
Results 1  10
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