Abo Bibliothek: Guest
Digitales Portal Digitale Bibliothek eBooks Zeitschriften Referenzen und Berichte Forschungssammlungen
Telecommunications and Radio Engineering
SJR: 0.202 SNIP: 0.2 CiteScore™: 0.23

ISSN Druckformat: 0040-2508
ISSN Online: 1943-6009

Volumes:
Volumen 78, 2019 Volumen 77, 2018 Volumen 76, 2017 Volumen 75, 2016 Volumen 74, 2015 Volumen 73, 2014 Volumen 72, 2013 Volumen 71, 2012 Volumen 70, 2011 Volumen 69, 2010 Volumen 68, 2009 Volumen 67, 2008 Volumen 66, 2007 Volumen 65, 2006 Volumen 64, 2005 Volumen 63, 2005 Volumen 62, 2004 Volumen 61, 2004 Volumen 60, 2003 Volumen 59, 2003 Volumen 58, 2002 Volumen 57, 2002 Volumen 56, 2001 Volumen 55, 2001 Volumen 54, 2000 Volumen 53, 1999 Volumen 52, 1998 Volumen 51, 1997

Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v69.i8.10
pages 653-668

APPLICATION OF FRACTIONAL OPERATORS TO DESCRIBING BOUNDARIES IN THE SCATTERING PROBLEMS

E. I. Veliev
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine
M. V. Ivakhnichenko
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine, 12, Academician Proskura St., Kharkiv 61085, Ukraine
T. M. Ahmedov
Institute of Mathematics, National Academy of Sciences of Azerbaijan

ABSTRAKT

The possibility is analyzed for applying fractional operators in the problems of electromagnetic wave reflection from plane boundaries. The fractional derivative and fractional curl operator are considered, which are obtained as a result of fractionalization of the ordinary derivation and curl operators. The fractional curl operator can be used for describing the polarization reversal effect for the wave reflected from a biisotropic layer or boundary characterized by anisotropic impedance boundary conditions. The order of the fractional curl operator is determined through the constitutive parameters of the problem under consideration. Boundary conditions with a fractional derivative generalize the condition for perfectly electric and perfectly magnetic conducting boundaries. Application of the fractional boundary conditions (FBC) to modeling wave reflection from plane boundaries is analyzed. The scattering properties of a strip with FBC and of an impedance strip are compared by the example of the problem of diffraction at a strip of a finite width. Expressions have been derived which relate the fractional order with the impedance. It is shown that FBC can be used over a wide range of parameter variation for the wave reflection simulation from impedance boundaries, as well as from a dielectric layer. The FBC correspond to impedance boundaries with a pure imaginary value of the impedance. Also the specific features shown by the scattering characteristics of a strip with FBC, which are associated with its "superwave" properties, are analyzed.


Articles with similar content:

A NUMERICAL ALGORITHM OF SOLVING PROBLEMS OF ELECTROMAGNETIC WAVE DIFFRACTION BY A PLANE LAYER WITH THE KERR NONLINEARITY
Telecommunications and Radio Engineering, Vol.76, 2017, issue 16
A. V. Brovenko, O. S. Troshchylo, A. Ye. Poyedinchuk, P. N. Melezhik
EIGENMODES AND RESONANCE PROPERTIES OF ONE‐DIMENSIONALLY PERIODIC METALLIC BAR GRATINGS. PART 1: CLASSICAL GRATING
Telecommunications and Radio Engineering, Vol.72, 2013, issue 15
Andrei Olegovich Perov, A. A. Kirilenko, S. L. Senkevich
RESONANCE SCATTERING OF A PLANE ELECTROMAGNETIC WAVE BY A FERRITE-STRIP GRATING-METAMATERIAL STRUCTURE
Telecommunications and Radio Engineering, Vol.71, 2012, issue 12
A. V. Brovenko, A. Ye. Poyedinchuk, P. N. Melezhik
A SEMI-ANALYTICAL METHOD FOR SOLVING THE PROBLEM OF ELECTROMAGNETIC WAVE RADIATION FROM PLANAR WAVEGUIDES WITH A FINITE NUMBER OF SLOTS
Telecommunications and Radio Engineering, Vol.75, 2016, issue 11
S. N. Vorobyov
EIGENMODES AND RESONANCE PROPERTIES OF ONE-DIMENSIONALLY PERIODIC METALLIC BAR GRATINGS. PART 2: COMPOUND GRATING
Telecommunications and Radio Engineering, Vol.72, 2013, issue 16
Andrei Olegovich Perov, A. A. Kirilenko, S. L. Senkevich