Title :
Integro-differential potentials for the analysis of a fractal cover properties
Author :
Onufriyenko, Vladimir M. ; Lewykin, Vladimir M.
Author_Institution :
Zaporizhzhya Nat. Tech. Univ., Ukraine
Abstract :
We have considered stationary electric and magnetic fields of fractal objects with the help of integro-differentiation methods. The equations of fractal electrostatic and magnetostatic potential in integro-differential form are proved and introduced. The offered ideas can be useful for modification numeric fields modelling techniques to solve electromagnetic problems for real objects with material structure irregularities.
Keywords :
calculus; computational electromagnetics; electric fields; fractals; integro-differential equations; magnetic fields; fractal cover properties; fractal electrostatic potential; fractal magnetostatic potential; fractal objects; integro-differential potentials; stationary electric fields; stationary magnetic fields; Electromagnetic fields; Electromagnetic modeling; Electrostatics; Fractals; Integrodifferential equations; Magnetic analysis; Magnetic fields; Magnetic materials; Magnetostatics; Numerical models;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 2002. MMET '02. 2002 International Conference on
Conference_Location :
Kiev, Ukraine
Print_ISBN :
0-7803-7391-X
DOI :
10.1109/MMET.2002.1106932