Ramm, Alexander G.(Science Publishing Corporation, 2015)
A simple proof is given for the explicit formula which allows one to recover a C2 – smooth vector field A=A(x) in R3, decaying at infinity, from the knowledge of its ∇×A and ∇⋅A. The representation of A as a sum of the ...
Ramm, Alexander G.; Tran, Nhan Thanh(World Academic Publishing, 2015)
Scalar wave scattering by many small particles of arbitrary shapes with impedance boundary condition is studied. The problem is solved asymptotically and numerically under the assumptions a d where k = 2 = is the ...
Ramm, Alexander G.; Andriychuk, Mykhaylo(IEEE Xplore Digital Library, 2014)
Asymptotic solution to scattering problem of electromagnetic (EM) waves by many small impedance particles, embedded in a homogeneous medium, is applied for creating media with prescribed permeability. Physical properties ...
Ramm, Alexander G.(American Institute of Physics, 2014)
A rigorous theory of electromagnetic (EM) wave scattering by one and many perfectly conducting small bodies of an arbitrary shape is developed. Equation for the effective field is derived in amedium in which many small ...