Title :
An approximate calculation of the permittivity of aerogels as fractal-like objects
Author :
Ferreira, G.F.Leal
Author_Institution :
Inst. de Fisica e Quimica de Sao Carlos, Sao Paulo Univ., Brazil
fDate :
2/1/1991 12:00:00 AM
Abstract :
An approximate calculation of the permittivity of a physical fractal (like aerogel of silica, which has a porosity of up to 99%) is performed, based on a self-similar model suggested by the Sierpinski gasket construction. It is shown that in some cases the polarizability of the units forming the homogeneous macrostructure tends to have a mathematical fractal behavior. The Sierpinski gasket and the first and succeeding stages of the model are described
Keywords :
fractals; permittivity; porous materials; silicon compounds; Sierpinski gasket construction; aerogel of silica; approximate calculation; fractal-like objects; homogeneous macrostructure; low density SiO2; mathematical fractal behavior; model; permittivity of aerogels; physical fractal; polarizability; porosity; self-similar model; succeeding stages; Displays; Ear; Equations; Fractals; Gaskets; Microstructure; Optical polarization; Permittivity; Silicon compounds; Solid modeling;
Journal_Title :
Electrical Insulation, IEEE Transactions on
