Propagation of Ultrashort Optical Pulses in Fractal Objects

Abstract

In this paper, we study the features of the evolution of an electromagnetic pulse in fractal structures. Different fractal structures were considered, with different symmetry and different generators. Based on the electron dispersion law for fractal objects, an expression for the electric current density in the system under study was obtained. It was found that the fracton dimension does not significantly affect the dynamics of ultrashort optical pulses. Thus, ultrashort optical pulses do not feel the symmetry of fractal objects.

Keywords

• ultrashort pulses
• fractals
• fracton dimension