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Impact of Increasing Antenna Model Complexity on Microwave Tomography Using DBIM. [PDF]

Sensors (Basel)
Vasileiou T, Koutsoupidou M, Kosmas P.
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Stekloff Eigenvalues in Inverse Scattering

SIAM Journal on Applied Mathematics, 2016
The paper is focused on the forward scattering problem for an inhomogeneous medium: find \(u\in C^2(\mathbb{R}^m\setminus \bar D)\cap C^1(\mathbb{R}^m\setminus D)\) such that \[ \begin{cases} \Delta u+k^2 n(x) u=0\text{ in }\mathbb{R}^m,\\ u(x)=\exp(ikx\cdot d)+u^s(x),\\ \lim_{r\to\infty}r^{\frac{m-1}{2}}\left(\frac{\partial u^s}{\partial r}-iku^s ...
Fioralba Cakoni, David Colton, Shixu Meng, Peter Monk 0001   +3 more
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Linear and Nonlinear Inverse Scattering

SIAM Journal on Applied Mathematics, 1998
The authors consider the inverse scattering problem for the one-dimensional Helmholtz equation when the nonhomogeneity is confined to a half-line. A layer-stripping algorithm is developed to recover the index of refraction when the reflection coefficient is known.
Dale P. Winebrenner, John Sylvester 0002
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Notes on inverse Compton scattering

Vestnik Moskovskogo Universiteta, Seriya 3: Fizika, Astronomiya, 2023
The paper considers some kinematic conditions for the inverse Compton scattering of photons by relativistic electrons and the polarizations of colliding particles, which affect the value of the differential cross section of the process. A significant influence of the electron and photon helicity on the value of the cross section was found.
K. A. Bornikov, I. P. Volobuev, Yu. V. Popov   +2 more
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Linear Inversion of PEC Scatterers

IGARSS 2008 - 2008 IEEE International Geoscience and Remote Sensing Symposium, 2008
The inverse scattering problems for Perfectly Electrical Conducting (PEC) objects is dealt with in the two dimensional case. A multifrequency multi-monostatic configuration is considered, where the illumination-observation domain is limited to one side of the investigation domain (i.e., only "reflection mode" data are disposable).
BRANCACCIO, Adriana, C. DI DIO, LEONE, Giovanni   +2 more
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Inverse scattering: an illicit reflection coefficient

Inverse Problems, 1986
A generalisation of the reflection coefficient that leads, via the Marchenko equation, to a \(\delta\)-distribution Schrödinger potential, is analysed. The case of the 'super-reflector' is considered and its anomalies are scrutinised.
Atkinson, D., Geschiere, J.
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Scattering and Inverse Scattering

1993
For a given potential, the scattering method has been commonly used to find the wave functions in quantum mechanics. An inverse process of this scattering is to find the potential from known scattering data. Such a process is called the inverse scattering method. If the potential satisfies a nonlinear evolution equation (the differential equation u t =
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On inverse scattering

Journal of Mathematical Physics, 1974
In a previous paper the inverse problem associated with a hyperbolic dispersive partial differential equation with smooth coefficients was considered. The inverse problem (the determination of the coefficients) was formulated in terms of a dual set of integral equations involving measurable quantities, the kernels of the transmission, and reflection ...
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Inverse scattering with diffusing waves

Journal of the Optical Society of America A, 2001
We consider the problem of imaging the optical properties of a highly scattering medium probed by diffuse light. An analytic solution to this problem is derived from the singular value decomposition of the forward-scattering operator, which leads to explicit inversion formulas for the inverse scattering problem with diffusing waves.
J C, Schotland, V A, Markel
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