Investigation of a general technique to solve electromagnetic wave propagation and radiation problems in bounded magnetoplasma

Electromagnetic wave propagation and transmission in a bounded magnetoplasma with an arbitrary orientation of the imposed magnetic field has been investigated by solving the resulting wave equation using the separation method. For a given orientation class of the magnetic field, the wave equation was found to be solvable by the separation method in at least two but not more than four of the cylindrical coordinate systems. Solutions of the electric field can be obtained in the form of three scalar functions each composed of a complete set of eigenfunctions. Investigation has also been carried out for problems involving source radiations in the bounded magnetoplasma. Solutions to the inhomogeneous wave equation by the Green's function method are derived. The usual complex surface integral arising from the Green's function method was forced to vanish by demanding the Green's function to satisfy a given set of boundary conditions. It will be shown that the technique outlined in this thesis is adequate to solve problems involving wave propagations or radiations in a bounded magnetoplasma, providing that a dispersion relation for the given orientation of the magnetic field can be found.