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inverse scattering problem

On an Inverse Scattering Problem for a Discontinuous Sturm-Liouville Equation with a Spectral Parameter in the Boundary Condition

On an Inverse Scattering Problem for a Discontinuous Sturm-Liouville Equation with a Spectral Parameter in the Boundary Condition

... and inverse scattering problem on the half-line 0, ∞ for the boundary value problem ...the inverse problem of scattering theory for ...of inverse scattering ...

17

Properties of MUSIC-Type Algorithm for Imaging of Thin Dielectric Inhomogeneity in Limited-View Inverse Scattering Problem

Properties of MUSIC-Type Algorithm for Imaging of Thin Dielectric Inhomogeneity in Limited-View Inverse Scattering Problem

... full-view inverse scattering problems. In a limited-view problem such as the detection of inhomogeneities buried in a half-space problem considered in [4, 17], MUSIC produces very poor ...

10

A Novel Phase Retrieval Approach for Electromagnetic Inverse Scattering Problem with Intensity-Only Data

A Novel Phase Retrieval Approach for Electromagnetic Inverse Scattering Problem with Intensity-Only Data

... Abstract—To measure the phase of signal with very high working frequency such as THz, and optics band is still a challenging problem. In this paper, based on the relationship between radiating current and measured ...

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The inverse scattering problem of some Schrödinger type equation with turning point

The inverse scattering problem of some Schrödinger type equation with turning point

... value problem by numerical methods; ...value problem in the case ρ(x) =  by means of the collocation method; in addition, [] is an application of spectral analysis of one-dimensional Schrödinger ...

15

Low coherence interferometric imaging: solution of the one dimensional inverse scattering problem

Low coherence interferometric imaging: solution of the one dimensional inverse scattering problem

... In a confocal microscope system, the specimen is not uniformly illuminated throughout its depth. The light is focused on a spot on one volume element of the specimen at a time, and the fluorescent light emitted from this ...

103

An inverse scattering problem to reconstruct refractive index distributions

An inverse scattering problem to reconstruct refractive index distributions

... We started this thesis by introducing the necessary motivation for studying the problem of recon- structing the refractive index distribution and why we use the BPM model to solve it. We also note that in practice ...

51

On some differential equations arising in a time domain inverse scattering problem for a dissipative wave equation

On some differential equations arising in a time domain inverse scattering problem for a dissipative wave equation

... The problem of identification of one spatially varying material property, defined within a slab, from boundary measurements is ...This inverse problem is described by a functional differential ...

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An Efficient Inverse Scattering Algorithm and its Application to Lossy Electric Transmission Line Synthesis

An Efficient Inverse Scattering Algorithm and its Application to Lossy Electric Transmission Line Synthesis

... the inverse scattering problem related to the Zakharov-Shabat equations with two potential functions, an efficient numerical algorithm for the synthesis of lossy transmission lines is ...

14

Computational inverse scattering via qualitative methods

Computational inverse scattering via qualitative methods

... which scattering phenomena may occur, but its numerical implementation is largely independent of the material properties of the target (that can be either penetrable or impenetrable, or even formed by different ...

174

Form factors of integrable Heisenberg (higher) spin chains

Form factors of integrable Heisenberg (higher) spin chains

... The solution of the inverse scattering problem for XXX spin chains and arbitrary spin represen- tations was given in [29]. This solution was recalled in formulae (2.31) and (2.32) and employed in ...

25

Microwave Imaging of Dielectric Cylinders Using Level Set Method and Conjugate Gradient Algorithm

Microwave Imaging of Dielectric Cylinders Using Level Set Method and Conjugate Gradient Algorithm

... the inverse scattering problem is solved to retrieve the complex permittivity profile of the object from the measured scattered field and applied incident ...nonlinear inverse problem ...

11

Body Shape and Complex Permittivity Determination Using the Method of Auxiliary Sources

Body Shape and Complex Permittivity Determination Using the Method of Auxiliary Sources

... years, inverse scattering problem has kept its importance and popularity because its ultimate purpose to determine physical and geometric properties of an inaccessible object without invasive methods ...

11

Application of Group Theory for Computation Reduction in Microwave Imaging of Human Breast Model at 500 MHz

Application of Group Theory for Computation Reduction in Microwave Imaging of Human Breast Model at 500 MHz

... forward problem. In Eq. (7), problem of determining unknown complex permittivity matrix R ε from the knowledge of E s and E i is known as inverse scattering ...

9

“Smart Design” of Quantum Wells and Double Quantum Wells Structures

“Smart Design” of Quantum Wells and Double Quantum Wells Structures

... the problem also as follows: suppose we have a set of “scattering data”, whatever it means; we do not define them precisely right ...or scattering data which is now known under the name of ...

9

A Method Based on Particle Swarm Optimization to Retrieve the Shape of Red Blood Cells: a Preliminary Assessment

A Method Based on Particle Swarm Optimization to Retrieve the Shape of Red Blood Cells: a Preliminary Assessment

... solve inverse scattering problem for red blood cells (RBCs) and detect possible ...The inverse scattering problem is recast as an iterative optimization one by defining a ...

9

On stable determination of potential by boundary measurements

On stable determination of potential by boundary measurements

... The present article is organized as follows. In Section 2, we formulate and discuss old and new stability estimate for Problem 1.1. In Section 3, we recall (a) definition and some properties of the Faddeev ...

6

Inverse eigenvalue problem for a class of Dirac operators with discontinuous coefficient

Inverse eigenvalue problem for a class of Dirac operators with discontinuous coefficient

... spectral problem for the Dirac operator was studied in [], and in this work, not only the Gelfand-Levitan-Marchenko method but also the Krein method [] was ...the inverse scattering ...

20

An Inverse Electromagnetic Scattering Problem for an Ellipsoid

An Inverse Electromagnetic Scattering Problem for an Ellipsoid

... direct scattering problem is formulated, and the formula of the far-field pattern for the impedance ellipsoid as well as for the lossy and lossless dielectric ellipsoid is ...the inverse ...

10

A Priori Modeling for Gradient Based Inverse Scattering Algorithms

A Priori Modeling for Gradient Based Inverse Scattering Algorithms

... based inverse scattering ...one-dimensional inverse scattering problem is considered as it offers a natural introduction to parameter identification and wave splitting techniques ...

26

On The Inverse Problem of the Scattering Theory for a Class of Systems of Dirac Equations with Discontiunous Coefficient

On The Inverse Problem of the Scattering Theory for a Class of Systems of Dirac Equations with Discontiunous Coefficient

... The inverse scattering problem for classical Sturm-Liouville and Dirac operators on the half line was solved completely in [ 1 ] - [ 7 ] ...of inverse problem on the half line ( 0, ∞) ...

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