Research on electromagnetic wave propagation in fractional space

DOI

10.2991/ic3me-15.2015.1How to use a DOI?

Keywords

Fractional derivatives; Fractional space; Fractal media; Fractional Maxwell’s equations.

Abstract

In this paper, a generalization of differential electromagnetic equations in fractional space is provided. These equations can describe the behavior of electric and magnetic fields in any fractal media. The time evolution of the fractional electromagnetic waves by using the time fractional Maxwell’s equations in fractional space has been investigated. Theoretical analysis shows that the amplitude variations of the general plane wave solution not only is related to Bessel functions, but also reveals an algebraic decay, at asymptotically large times.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Hongbo Zhang
AU  - Zhongshu Yang
PY  - 2015/08
DA  - 2015/08
TI  - Research on electromagnetic wave propagation in fractional space
BT  - Proceedings of the 3rd International Conference on Material, Mechanical and Manufacturing Engineering
PB  - Atlantis Press
SP  - 1
EP  - 6
SN  - 2352-5401
UR  - https://doi.org/10.2991/ic3me-15.2015.1
DO  - 10.2991/ic3me-15.2015.1
ID  - Zhang2015/08
ER  -