Kansas State University

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19932026

most citedThe Cosmological Constant and Dark Energy

5.2k citations

Showing 2006 · math-phShow all

5 papers · 2 filters

math-ph2006

Computational method for acoustic wave focusing

A. G. Ramm, S. Gutman

Scattering properties of a material are changed when the material is injected with small acoustically soft particles. It is shown that its new scattering behavior can be understood…

math-ph2006★ 32 cited

Distribution of particles which produces a desired radiation pattern: ETOPIM7

A. G. Ramm

If $A_{q} (β, α, k)$ is the scattering amplitude, corresponding to a potential $q \in L^{2} (D)$ , where $D \subset R^{3}$ is a bounded domain, and $e^{ik α \cdot x}$ is the incident plane wave…

math-ph2006★ 8 cited

Many-body wave scattering by small bodies

A. G. Ramm

Scattering problem by several bodies, small in comparison with the wavelength, is reduced to linear algebraic systems of equations, in contrast to the usual reduction to some integ…

math-ph2006★ 38 cited

Distribution of particles which produces a "smart" material

A. G. Ramm

If $A_{q} (β, α, k)$ is the scattering amplitude, corresponding to a potential $q \in L^{2} (D)$ , where $D \subset R^{3}$ is a bounded domain, and $e^{ik α \cdot x}$ is the incident plane wave…

math-ph2006★ 8 cited

Completeness of the set of scattering amplitudes

A. G. Ramm

Let $f \in L^{2} (S^{2})$ be an arbitrary fixed function with small norm on the unit sphere $S^{2}$ , and $D \subset R^{3}$ be an arbitrary fixed bounded domain. Let $k > 0$ and $α \in S^{2}$ be f…