Electromagnetic Fields and Waves in Fractional Dimensional Space

✍ Scribed by Muhammad Zubair, Muhammad Junaid Mughal, Qaisar Abbas Naqvi (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2012
• Tongue: English
• Leaves: 89
• Series: SpringerBriefs in Applied Sciences and Technology
• Edition: 1
• Category: Library

✦ Synopsis

This book presents the concept of fractional dimensional space applied to the use of electromagnetic fields and waves. It provides demonstrates the advantages in studying the behavior of electromagnetic fields and waves in fractal media.
The book presents novel fractional space generalization of the differential electromagnetic equations is provided as well as a new form of vector differential operators is formulated in fractional space. Using these modified vector differential operators, the classical Maxwell's electromagnetic equations are worked out. The Laplace's, Poisson's and Helmholtz's equations in fractional space are derived by using modified vector differential operators.

✦ Table of Contents

Front Matter....Pages i-xviii
Introduction....Pages 1-6
Differential Electromagnetic Equations in Fractional Space....Pages 7-16
Potentials for Static and Time-Varying Fields in Fractional Space....Pages 17-25
Electromagnetic Wave Propagation in Fractional Space....Pages 27-60
Electromagnetic Radiations from Sources in Fractional Space....Pages 61-67
Conclusions....Pages 69-70

✦ Subjects

Microwaves, RF and Optical Engineering;Optics and Electrodynamics;Mathematical Methods in Physics