AN EXACT SOLUTION OF THE CYLINDRICAL WAVE EQUATION FOR ELECTROMAGNETIC FIELD IN FRACTIONAL DIMENSIONAL SPACE

This work deals with an exact solution of cylindrical wave equation for electromagnetic field in fractional dimensional space. The obtained fractional solution is a generalization of the cylindrical wave equation from integer dimensional space to a fractional dimensional space. The resulting theoretical framework can be used to study the phenomenon of electromagnetic wave propagation in any fractal media because fractal media can be described as an ordinary media in a fractional dimensional space. The classical results are recovered from fractional solution when integer dimensional space is considered.