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  • © 2012

Electromagnetic Fields and Waves in Fractional Dimensional Space

  • Presents novel fractional space generalization of the differential electromagnetic equations
  • Includes supplementary material: sn.pub/extras

Part of the book series: SpringerBriefs in Applied Sciences and Technology (BRIEFSAPPLSCIENCES)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xviii
  2. Introduction

    • Muhammad Zubair, Muhammad Junaid Mughal, Qaisar Abbas Naqvi
    Pages 1-6
  3. Differential Electromagnetic Equations in Fractional Space

    • Muhammad Zubair, Muhammad Junaid Mughal, Qaisar Abbas Naqvi
    Pages 7-16
  4. Potentials for Static and Time-Varying Fields in Fractional Space

    • Muhammad Zubair, Muhammad Junaid Mughal, Qaisar Abbas Naqvi
    Pages 17-25
  5. Electromagnetic Wave Propagation in Fractional Space

    • Muhammad Zubair, Muhammad Junaid Mughal, Qaisar Abbas Naqvi
    Pages 27-60
  6. Electromagnetic Radiations from Sources in Fractional Space

    • Muhammad Zubair, Muhammad Junaid Mughal, Qaisar Abbas Naqvi
    Pages 61-67
  7. Conclusions

    • Muhammad Zubair, Muhammad Junaid Mughal, Qaisar Abbas Naqvi
    Pages 69-70

About this book

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.

Reviews

From the reviews:

“In this 70 pages long book the authors present, based on their own publications, a theoretical investigation of classical electromagnetics in the fractional dimensional space. … The monograph consists of 5 chapters which are divided into sections and subsections and are followed by a short summary and a list of references. … The book is recommended to graduate and advanced students as well as professionals in electromagnetics.” (Georg Hebermehl, Zentralblatt MATH, Vol. 1244, 2012)

Authors and Affiliations

  • and Technology, Faculty of Electronic Engineering, GIK Institute of Engineering Sciences, Topi, Pakistan

    Muhammad Zubair, Muhammad Junaid Mughal

  • , Department of Electronics, Quaid-e-Azam University, Islamabad, Pakistan

    Qaisar Abbas Naqvi

About the authors

Muhammad Zubair
Research Associate
Faculty of Electronic Engineering
GIK Institute of Engineering Sciences and Technology
Topi, Pakistan.

Bibliographic Information

  • Book Title: Electromagnetic Fields and Waves in Fractional Dimensional Space

  • Authors: Muhammad Zubair, Muhammad Junaid Mughal, Qaisar Abbas Naqvi

  • Series Title: SpringerBriefs in Applied Sciences and Technology

  • DOI: https://doi.org/10.1007/978-3-642-25358-4

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer-Verlag GmbH, DE, part of Springer Nature 2012

  • Softcover ISBN: 978-3-642-25357-7Published: 05 January 2012

  • eBook ISBN: 978-3-642-25358-4Published: 03 January 2012

  • Series ISSN: 2191-530X

  • Series E-ISSN: 2191-5318

  • Edition Number: 1

  • Number of Pages: XVIII, 70

  • Number of Illustrations: 14 b/w illustrations

  • Topics: Microwaves, RF and Optical Engineering, Classical Electrodynamics, Mathematical Methods in Physics

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access