8 citations · 12 across the 12 of their papers we have counts for
6 papers · 1 filter
Inverse scattering with the data at fixed energy and fixed incident direction
A. G. Ramm
Consider the Schrödinger operator qq=q(x), x \in \mathbf{R}^3A(β,α, k)k^2α\in S^2$ be t…
Many-body wave scattering problems in the case of small scatterers
A. G. Ramm
Formulas are derived for solutions of many-body wave scattering problems by small particles in the case of acoustically soft, hard, and impedance particles embedded in an inhomogen…
Scattering of electromagnetic waves by many nanowires
A. G. Ramm
Electromagnetic wave scattering by many parallel to axis, thin, impedance, circular infinite cylinders is studied asymptotically as . Let be the crossection of th…
Dynamical Systems Method for solving nonlinear operator equations in Banach spaces
A. G. Ramm
Let be a solvable operator equation in a Banach space with a Gateaux differentiable norm. Under minimal smoothness assumptions on , sufficient conditions are given…
Electromagnetic wave scattering by many small particles and creating materials with a desired permeability
A. G. Ramm
Scattering of electromagnetic (EM) waves by many small particles (bodies) embedded in a homogeneous medium is studied. Physical properties of the particles are described by their b…
Uniqueness of the solution to inverse scattering problem with backscattering data
A. G. Ramm
Let be real-valued compactly supported sufficiently smooth function. It is proved that the scattering data , determine uniqu…