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THE INVERSE SCATTERING PROBLEM FOR ANISOTROPIC MEDIA
"... We give a survey of recent results on the inverse scattering problem for anisotropic media including both uniqueness theorems and reconstruction algorithms. 1. ..."
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We give a survey of recent results on the inverse scattering problem for anisotropic media including both uniqueness theorems and reconstruction algorithms. 1.
SCATTERING AND INVERSE SCATTERING PROBLEMS
, 1990
"... This manuscript has been reproduced from the microfilm master. UMI films the text directly from the original or copy submitted. Thus, some thesis and dissertation copies are in typewriter face, while others may be from any type of computer printer. The quality of this reproduction is dependent upon ..."
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This manuscript has been reproduced from the microfilm master. UMI films the text directly from the original or copy submitted. Thus, some thesis and dissertation copies are in typewriter face, while others may be from any type of computer printer. The quality of this reproduction is dependent upon the quality of the copy submitted. Broken or indistinct print, colored or poor quality illustrations and photographs, print bleedthrough, substandard margins, and improper alignment can adversely affect reproduction. In the unlikely event that the author did not send UMI a complete manuscript and there are missing pages, these will be noted. Also, if unauthorized copyright material had to be removed, a note will indicate the deletion. Oversize materials (e.g., maps, drawings, charts) are reproduced by sectioning the original, beginning at the upper lefthand corner and continuing from left to right in equal sections with small overlaps. Each original is also photographed in one exposure and is included in reduced form at the back of the book. Photographs included in the original manuscript have been reproduced xerographically in this copy. Higher quality 6 " x 9 " black and white photographic prints are available for any photographs or illustrations appearing in this copy for an additional charge. Contact UMI directly to order. UMI
On the Electromagnetic Inverse Scattering Problem
"... Our main purpose is to provide the analyses which we have found to be significant in our investigations of the problem of electromagentic inverse scattering; i.e., the problem where the transmitted field is given and the received fields are measured, and this data is used to discover the nature of ..."
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Our main purpose is to provide the analyses which we have found to be significant in our investigations of the problem of electromagentic inverse scattering; i.e., the problem where the transmitted field is given and the received fields are measured, and this data is used to discover the nature
The Discrete Inverse Scattering Problem
"... This paper ¯rst deals with a physical interpretation of a particular scattering problem involving acoustic waves. The resulting continuous equation is discretized in two ways: using edge conductivities and using vertex conductivities. Boundary spike and boundary edge formulas are derived for both c ..."
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This paper ¯rst deals with a physical interpretation of a particular scattering problem involving acoustic waves. The resulting continuous equation is discretized in two ways: using edge conductivities and using vertex conductivities. Boundary spike and boundary edge formulas are derived for both
Microwave Inverse Scattering Problems
"... The Modified NewtonKantorovich method (MNK) was formulated due to the limitation of The NewtonKantorovich method (NK) in reconstructing the imitation of bone muscle and fat object. It was sensitive to contrast and cell size. In this research MNK and NK methods were applied to reconstruct the diele ..."
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the dielectric properties distribution of homogeneous and inhomogeneous objects from simulated scattered field dataset to know how the results of image reconstruction using both methods were. The results revealed that the MNK method was more flexible than the NK one.
The direct and inverse scattering problems for partially coated obstacles
 Inverse Problems,17
, 1997
"... Abstract. We consider the inverse scattering problem of determining the shape of a partially coated obstacle in R 3 from a knowledge of the incident time harmonic electromagnetic plane wave and the electric far field pattern of the scattered wave. A justification is given of the linear sampling meth ..."
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Cited by 34 (23 self)
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Abstract. We consider the inverse scattering problem of determining the shape of a partially coated obstacle in R 3 from a knowledge of the incident time harmonic electromagnetic plane wave and the electric far field pattern of the scattered wave. A justification is given of the linear sampling
On the inverse scattering problem for the acoustic equation
, 1985
"... The inverse problem for quantum and acoustic scatterings has been investigated extensively. Little attention, however, seems to have been paid to the inverse problem for the acoustic scattering. P. Lax and R. Phillips [4, p. 174], showed that the scattering operator associated with the wave equatio ..."
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The inverse problem for quantum and acoustic scatterings has been investigated extensively. Little attention, however, seems to have been paid to the inverse problem for the acoustic scattering. P. Lax and R. Phillips [4, p. 174], showed that the scattering operator associated with the wave
Some inverse scattering problems of geophysics
 INVERSE PROBLEMS L (1985) 133172.
, 1985
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Inverse scattering problem with underdetermined data.
"... Consider the Schrödinger operator −∇2 + q with a smooth compactly supported potential q, q = q(x), x ∈ R3. Let A(β, α, k) be the corresponding scattering amplitude, k2 be the energy, α ∈ S2 be the incident direction, β ∈ S2 be the direction of scattered wave, S2 be the unit sphere in R3. Assume tha ..."
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that k = k0> 0 is fixed, and α = α0 is fixed. Then the scattering data are A(β) = A(β, α0, k0) = Aq(β) is a function on S 2. The following inverse scattering problem is studied: IP: Given an arbitrary f ∈ L2(S2) and an arbitrary small number > 0, can one find q ∈ C∞0 (D), where D ∈ R3
Results 1  10
of
1,369,156