Title :
Fractional solutions of Helmholtz equation in scattering problems
Author :
Ahmedov, T.M. ; Ivakhnychenko, M.V. ; Veliev, E.I.
Author_Institution :
IMM NAS of Azerbaijan, Baku, Azerbaijan
Abstract :
In this paper we introduce a new definition for fractional derivatives of function ψ(r~) which satisfies the homogeneous Helmholtz equation. It is shown, that we have come to such a presentation after consideration of "fractional" solutions of ordinary Helmholtz equation. Also "fractional boundary conditions" are introduced.
Keywords :
Helmholtz equations; boundary-value problems; electromagnetic wave scattering; fractals; Green´s function; electromagnetic problems; fractional boundary conditions; fractional calculus; fractional derivatives of function; homogeneous Helmholtz equation; scattering problems; Boundary conditions; Dielectrics; Electromagnetic scattering; Fractional calculus; Integral equations; Permeability; Permittivity; Reflection; Surface impedance; Tellurium;
Conference_Titel :
Physics and Engineering of Microwaves, Millimeter, and Submillimeter Waves, 2004. MSMW 04. The Fifth International Kharkov Symposium on
Print_ISBN :
0-7803-8411-3
DOI :
10.1109/MSMW.2004.1346239
