Electromagnetic Green’s function for fractional space

H. Asada*, M.J. Mughala, M. Zubairab & Q.A. Naqvic a Faculty of Electronic Engineering, GIK Institute of Engineering Sciences and Technology , Topi, Swabi , Khyber Pakhtunkhwa , 23640 , Pakistan b Department of Electronics and Telecommunications , Politecnico di Torino , Torino , 10129 , Italy c Electronics Department , Quaid-i-Azam University , Islamabad , 45320 , Pakistan * E-mail: hira.asad1@gmail.com A series form of Green’s function (GF) is developed for a fractional dimensional space with dimensions, 1 < D 2. Using this GF and the given charge distribution, the potential on a surface in fractional dimensional space is calculated. With the GF known, the electromagnetic wave propagation and radiation problem for various complex geometries can be solved. It is also shown that the calculated GF reduces to classical results on insertion of integer dimensions.