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An approach to inverse scattering problems
Bioelectromagnetics, 1982AbstractThere are several reasons for investigating the inverse scattering problem in medical image processing. A typical case, that of ultrasonic fields, is considered. Assuming that a plane wave illuminates a weakly inhomogeneous two‐dimensional object, the fundamental equation is derived for the scattered waves in integral as well as in differential
M, Saito, T, Hayashi
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The inverse scattering problem
AIP Conference Proceedings, 1980Scattered field are described by entire functions of exponential type, characterised everywhere by their distributions of zeros. The paper shows how the inverse scattering problem in one and two dimensions is reduced to establishing procedures for zero location. Several cases are distinguished and suitable methods are put forward for each of them.
G. Ross +2 more
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Inverse problem of quantum scattering theory. II.
Journal of Soviet Mathematics, 1976zbMATH Open Web Interface contents unavailable due to conflicting licenses.
L D Faddeev
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Inverse scattering for geophysical problems
Physics Letters A, 1983A method for finding wave velocity from the scattering data is given for three-dimensional problems.
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2009
This chapter contains sections titled: Linear Inverse Problems One-Dimensional Inverse Problems Higher-Dimensional Inverse Problems This chapter contains sections titled: Exercises for Chapter 9 References for Chapter 9 Further Readings for Chapter ...
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This chapter contains sections titled: Linear Inverse Problems One-Dimensional Inverse Problems Higher-Dimensional Inverse Problems This chapter contains sections titled: Exercises for Chapter 9 References for Chapter 9 Further Readings for Chapter ...
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2003
As shown in Sect. 1.2, for high sounding frequencies, vector equation (1.11) splits up into three scalar equations, and it is sufficient to consider the equation for one component of the field $$\Delta E + {k^2}\varepsilon \left( {r,k} \right)E = 0$$ (3.1) , where $$\varepsilon \left( {r,w} \right) = 1 - \frac{{4\pi {r_e}N\left( r \right)}
Viacheslav E. Kunitsyn +1 more
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As shown in Sect. 1.2, for high sounding frequencies, vector equation (1.11) splits up into three scalar equations, and it is sufficient to consider the equation for one component of the field $$\Delta E + {k^2}\varepsilon \left( {r,k} \right)E = 0$$ (3.1) , where $$\varepsilon \left( {r,w} \right) = 1 - \frac{{4\pi {r_e}N\left( r \right)}
Viacheslav E. Kunitsyn +1 more
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The Inverse Scattering Problem
1982In the usual scattering-theory problem the hamiltonian of the system or the interparticle forces are known and a cross section, polarization, etc., are to be calculated and subsequently confronted with experimental results. The “inverse” problem is posed in the opposite direction: given certain kinds of information obtained more or less directly from ...
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The Inverse Scattering Problem in a Nonstationary Medium
Computational Mathematics and Modeling, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baev, A. V., Gavrilov, S. V.
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