Skip to main content

Electromagnetic Wave Propagation in Fractional Space

  • Chapter
  • First Online:
Electromagnetic Fields and Waves in Fractional Dimensional Space

Abstract

The wave equation has very important role in many areas of physics. It has a fundamental meaning in classical as well as quantum field theory. With this view, one is strongly motivated to discuss solutions of the wave equation in all possible situations. The wave equation in fractional space can effectively describe the wave propagation phenomenon in fractal media. In this chapter, exact solutions of different forms of wave equation in \(D\)-dimensional fractional space are provided, which describe the phenomenon of electromagnetic wave propagation in fractional space.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
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

Purchases are for personal use only

Institutional subscriptions

References

  1. C.A. Balanis, Advanced Engineering Electromagnetics (Wiley, New York, 1989)

    Google Scholar 

  2. C. Palmer, P.N. Stavrinou, Equations of motion in a noninteger-dimension space. J. Phys. A 37, 6987–7003 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  3. A.D. Polyanin, V.F. Zaitsev, Handbook of Exact Solutions for Ordinary Differential Equations, 2nd edn. (CRC Press, Boca Raton, 2003)

    MATH  Google Scholar 

  4. M. Abramowitz, I.A. Stegun, Handbook of mathematical functions with formulas, Graphs, and Mathematical Tables.U.S. Department of Commerce (1972)

    Google Scholar 

  5. M. Zubair, M.J. Mughal, Q.A. Naqvi, The wave equation and general plane wave solutions in fractional space. Prog Electromn Res Lett 19, 137–146 (2010)

    Google Scholar 

  6. M. Zubair, M.J. Mughal, Q.A. Naqvi, An exact solution of cylindrical wave equation for electromagnetic field in fractional dimensional space. Prog Electromn Res Lett 114, 443–455 (2011)

    Google Scholar 

  7. M. Zubair, M.J. Mughal, Q.A. Naqvi, An exact solution of spherical wave in D-dimensional fractional space. J Electromn Waves Appl 25, 1481–1491 (2011)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Muhammad Zubair .

Rights and permissions

Reprints and permissions

Copyright information

© 2012 The Author(s)

About this chapter

Cite this chapter

Zubair, M., Mughal, M.J., Naqvi, Q.A. (2012). Electromagnetic Wave Propagation in Fractional Space. In: Electromagnetic Fields and Waves in Fractional Dimensional Space. SpringerBriefs in Applied Sciences and Technology(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25358-4_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-25358-4_4

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25357-7

  • Online ISBN: 978-3-642-25358-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics