Integrodifferential model of artificial fractal medium

Author

Misyura, Andriy O. ; Onufriyenko, Volodymyr M. ; Shtefan, Tetyana O.

Author_Institution

Zaporizhzhya Nat. Tech. Univ., Zhukovsky, Ukraine

Volume

2

fYear

2004

fDate

17-19 May 2004

Firstpage

413

Abstract

We consider the geometric and physical aspects that permit introduction of the so-called α-characteristics for studying the behavior of electromagnetic field components in the vicinity of a set of points with fractal properties. The model of charges and α-pole moments for study of spatial properties of plasmoids (the nonuniform fractal filling of some area by clots of the homogeneous plasma) is designed. The own functions and numbers of electromagnetic waves, which propagate in rectangular waveguide with fractal wide walls, have been determined using the apparatus of fractional integro-differential calculus.

Keywords

calculus; integro-differential equations; plasma electromagnetic wave propagation; rectangular waveguides; α-pole moment; electromagnetic field component; electromagnetic waves propagation; fractal property; fractional integro-differential calculus; plasmoid; rectangular waveguide; Calculus; Electromagnetic fields; Electromagnetic propagation; Electromagnetic scattering; Electromagnetic waveguides; Filling; Fractals; Plasma properties; Plasma waves; Rectangular waveguides;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwaves, Radar and Wireless Communications, 2004. MIKON-2004. 15th International Conference on

Print_ISBN

83-906662-7-8

Type

conf

DOI

10.1109/MIKON.2004.1357052

Filename

1357052