Effect of Cold Plasma Permittivity on Scattering of Waves in a Waveguide

Abstract

A number of diffraction problems having a practical application in science and engineering can be solved throughWiener-Hopf and Mode Matching techniques. Whilst using these techniques, this dissertation addresses a class of boundaryvalue problems related to the effect of cold plasma and wave scattering. These problems find applications in a broad area of physics and engineering. The envisaged mathematical model is governed by the Helmholtz equation in cold plasma along with soft, hard and impedance boundary conditions. The diffracted, scattered, transmitted and radiated fields are obtained for waveguide structures located in cold plasma. The numerical analysis is made in its factual perspective by using different material properties of the waveguide. It is revealed that the amplitude of obtained field is affected drastically in the presence of an ionosphere plasma medium. Likewise it is observed that the field showed impedance dependent variations that are actually related to the magnetic and electric susceptibilities of the waveguide surfaces. We conclude that such types of results can be used to improve the radiated signal quality transmitted by an artificial satellite in the ionosphere.