Analytical Methods in Wave Scattering and Diffraction Volume I.

Techniques applied for the analytical modeling span from integral equation/differential equation-based methods to the generalized separation of variables and Fourier and eigenfunction series expansions, as well as to Galerkin-type methods. The paper co-authored by Golub and Doroshenko [[5]] develops a boundary integral equation method, by employing the Hankel transform of Green's matrices, for modelling wave scattering and analysis of the eigenfrequencies of circular, partially closed interface delaminations between dissimilar media. An integral equation is obtained by imposing the impedance boundary condition on the disk surface, assuming the graphene surface conductivity is given by the Kubo formalism. Boundary value problems (BVPs) pertaining to scattering and radiation by devices that support novel wave phenomena are of primary importance in applied and computational mathematics, computational physics and engineering. [Extracted from the article]