Alexander G. Ramm
Список книг автора Alexander G. Ramm
Creating Materials with a Desired Refraction Coefficient (Second Edition)
In Ramm’s second edition on refraction coefficient the author shares his recipe for creating materials with a desired refraction coefficient and solves the many-body wave scattering problem for many small impedance bodies. Technical problems are described which, when solved, make this theory practically applicable. It also provides physical and mathematical arguments for the possibility to produce such particles. Inverse scattering with non-over-determined scattering data is discussed. Revised and expanded, this new edition includes three new chapters: the discussion of technological problems to be solved for immediate applicability for creating materials with a desired refraction coefficient; symmetry properties of the solutions to the Helmholtz equation and new results on symmetry properties in harmonic analysis; and theorems in inverse scattering. Key Features Presents a method for creating materials with a desired refraction coefficient Includes a process for creating wave-focusing materials Highlights inverse problems of finding the potential from the non-over-determined scattering data Provides an overview of symmetry properties in scattering theory
Creating Materials with a Desired Refraction Coefficient
Creating Materials with a Desired Refraction Coefficient' provides a recipe for creating materials with a desired refraction coefficient, and the many-body wave scattering problem for many small impedance bodies is solved. The physical assumptions make the multiple scattering effects essential. On the basis of this theory, a recipe for creating materials with a desired refraction coefficient is given. Technological problems are formulated which, when solved, make the theory practically applicable. The Importance of a problem of producing a small particle with a desired boundary impedance is emphasized, and inverse scattering with non-over-determined scattering data is considered.
