Title :
New Generalized Electromagnetic Boundaries: Fractional Operators Approach
Author :
Ahmedov, T.M. ; Ivakhnychenko, M.V. ; Veliev, E.I.
Author_Institution :
Inst. of Math., NAS of Azerbaijan, Baku
Abstract :
This paper is devoted to the description of new boundaries using the fractional field, which is constructed by applying the fractional curl operator. Fractional field allows to describe the solution of problem of reflection from specific boundaries of "impedance type", which generalizes canonical boundaries (perfect electric conductor (PEC), perfect magnetic conductor (PMC), isotropic impedance boundary). Fractional field approach also gives a possibility to obtain boundaries with new features
Keywords :
boundary-value problems; electromagnetic field theory; mathematical operators; canonical boundaries; fractional curl operator; fractional field; fractional operators approach; generalized electromagnetic boundaries; isotropic impedance boundary; perfect electric conductor; perfect magnetic conductor; Anisotropic magnetoresistance; Boundary conditions; Conductors; Electromagnetic fields; Electromagnetic reflection; Mathematics; Permeability; Permittivity; Propagation constant; Surface impedance;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 2006 International Conference on
Conference_Location :
Kharkiv
Print_ISBN :
1-4244-0490-8
DOI :
10.1109/MMET.2006.1689814