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In this paper, general solution for the electric and magnetic flelds are developed using the vector potentials A and F when the wave is propagating in fractional dimensional space. Difierent fleld conflgurations can be analyzed using the developed expressions for electric and magnetic flelds, 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.

GENERAL SOLUTION FOR WAVEGUIDE MODES IN FRACTIONAL SPACE