Research on electromagnetic wave propagation in fractional space

Abstract

Abstract. In this paper, a generalization of differential electromagnetic equations in fractional space is provided. These equations can describe the behavior of electric and magnetic fields in any fractal media. The time evolution of the fractional electromagnetic waves by using the time fractional Maxwell's equations in fractional space has been investigated. Theoretical analysis shows that the amplitude variations of the general plane wave solution not only is related to Bessel functions, but also reveals an algebraic decay, at asymptotically large times.