The theoretical analysis method of this paper is Fourier transform and Mode matching method which were used to analyze the electromagnetic scattering and radiation by slitted parallel-plate waveguide, inset dielectric guide, and circular aperture. This method gives us a series solution in the closed region and an integral solution in the open region. The dominant contribution of the size of the modal matrix is determined by the number of propagating modes and a few significant evanescent modes which exist within the waveguide sections.
In chapter 2 and 3 the scattering and radiation from a slitted waveguide is analyzed. The computed results are reflected, transmitted, radiated powers, and radiation pattern. The incident wave is assumed to be TE or TM mode. The effect of the parameter of slit($N_s$,a,d,T) is analyzed. In chapter 3 the grooves are inserted into the parallel plate waveguide. The grooves area kind of scatterer. The groove effect on the performance of antenna is investigated. By inserting the grooves into the parallel-plate waveguide the performance of slitted leaky wave antenna can be enhanced. The experiment and measurement of it confirmed that the theory accords well with the experiment. The effect of the parameter of groove is studied. In chapter 4 the inset dielectric guide is analyzed. The even and odd modes can be decoupled in this waveguide. The computed dispersion curves show the reasonable agreements with Rozzi's paper. In chapter 5 and 6 the problem of the circular aperture is analyzed. The Hankel transform and Mode matching method is applied to the circular aperture. The electrostatic problem is investigated in chapter 5. We see that the transmitted potential increases as the radius of aperture gets larger and the thickness of aperture gets thinner. In chapter 6 the electromagnetic problem of coaxial line is analyzed. As the cartesian coordinate we can see that the same form of solution is obtained which is series form in the closed region and is integral form in the open region. The transmitted power increases as the height of conductor plate gets closer, the operating frequency gets higher, and the outer radius of coaxial line gets bigger.
The hybrid technique of Fourier transform and Mode matching is applied to the analysis of electromagnetic scattering and radiation. It is shown that the electrostatic and electromagnetic problem can be solved using this method. By extending this method from cartesian coordinate to cylindrical coordinate the scope of application is enlarged.