General solution for electromagnetic wave propagation in cylindrical waveguide filled with fractional space

ABSTRACT

In this paper, general solution for electric and magnetic fields in Cylindrical coordinates system is developed for the first time using the vector potentials $\mathbf{A}$ and $\mathbf{F}$ when the wave is propagating in fractional dimensional space. This enables us to analyze different field configurations inside cylindrical waveguide filled with fractional space. Here, TE${}^z$ and TM${}^z$ modes are analyzed. It is observed that the wave propagation behavior in fractional space changes substantially from that in the integer dimensional space inside cylindrical waveguide. Moreover, the general solution obtained in this paper can also be used to analyze different field configurations inside cylindrical waveguide filled with integer dimensional space.

Keywords:

• Computational electromagnetics
• fractional space
• cylindrical waveguide
• non-linear media
• propagation

Acknowledgments

We are thankful to Professor M. Junaid Mughal, Mumtaz Ali and Ali Abbas Khan for their untiring feedback and valuable suggestions.

Disclosure statement

No potential conflict of interest was reported by the authors.

Correction Statement

This article has been republished with minor changes. These changes do not impact the academic content of the article.