Introduction

This book is a theoretical investigation of electromagnetic fields and waves in the fractional dimensional space. The motivation for this study, besides its theoretical importance, is provided by its applicability to the problems of electromagnetic wave modeling in complex fractal media. One of the important advantages of fractals is their capability to model objects of complicated structures. This is because of an important property of fractals that their structure is characterized by a small number of parameters. One of those parameters is the fractional dimension which tells how the fractal fills the Euclidean space in which it lies. Since, a medium composed of such fractal objects can be considered as non-integer dimensional fractal media, the analytical results of this work provide the necessary tools for analyzing the behavior of electromagnetic fields and waves in it.