volume | PIER Journals

Abstract

In this paper, general solution for the electric and magnetic fields are developed using the vector potentials A and F when the wave is propagating in fractional dimensional space. Different field configurations can be analyzed using the developed expressions for electric and magnetic fields, here we have analyzed TE_z and TM_z modes when the wave propagates in fractional space inside a rectangular waveguide. It is observed that wave propagation behavior in fractional space changes substantially from the non-fractional space. It is also observed that the obtained results show generalization of the concept of solutions for wave propagation from integer to fractional space. As a special case, when all the dimensions are considered integer, then all classical results are recovered.

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Mr. Salman Khan

Dr. Adnan Noor

Dr. Muhammad Junaid Mughal