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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
C.A. Balanis, Advanced Engineering Electromagnetics (Wiley, New York, 1989)
C. Palmer, P.N. Stavrinou, Equations of motion in a noninteger-dimension space. J. Phys. A 37, 6987–7003 (2004)
A.D. Polyanin, V.F. Zaitsev, Handbook of Exact Solutions for Ordinary Differential Equations, 2nd edn. (CRC Press, Boca Raton, 2003)
M. Abramowitz, I.A. Stegun, Handbook of mathematical functions with formulas, Graphs, and Mathematical Tables.U.S. Department of Commerce (1972)
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)
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)
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)
Author information
Authors and Affiliations
Corresponding author
Rights 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)