DocumentCode
1630385
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
Volume
2
fYear
2004
Firstpage
910
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;
fLanguage
English
Publisher
ieee
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
Type
conf
DOI
10.1109/MSMW.2004.1346239
Filename
1346239
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