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Abstract The purpose of this thesis is to study the effect of electromagnetic fields on the wave motions. It consists of four chapters, with Arabic and English summaries, in addition to a list of contents, a list of figures, a list of publications, and a list of references. In chapter 1, we explained some fundamental concepts of electrodynamics, peristaltic motion, basic equations, basic definitions, and relations on which the later results in the thesis are based. In chapter 2, we studied the effects of bivariation viscosity and magnetic field on the trapping phenomenon at the centerline, separated flow on the wall surface of the peristaltic tube, the pressure rise, and the friction force. Then, we used the zero Reynolds number and long wavelength to simplify the equations. The perturbation method is used to obtain the velocity field and the pressure gradient as functions of the Hartmann number. In chapter 3, we investigated the electromagnetic (EM) propagation within a rectangular waveguide filled with plasma. A rapid Cherenkov free-electron laser (C-FEL) beam was injected into the plasma to excite its natural oscillations and, therefore, an EM wave was generated. We found exact solutions to the EM wave equation using both the Laplacian operator in the fractional D-dimensional space and the local fractional derivative (LFD). Also, we converted the fractional solutions into classical solutions. In addition, we found the well-known Bessel, Neumann, and Mittage-Leffler functions are observable. In chapter 4, we studied the effect of diamond and silver materials as cavity resonator walls on the resonant frequency. We used a closed rectangular waveguide as a resonator, with a source circuit inside it. The end of this thesis contains a general conclusion & future work. |