Maiboroda M. Analysis and synthesis of waveguide elements of dispersive compressors of electromagnetic pulses

The aim of the work is a rigorous electrodynamic analysis of transients associated with the compression of electromagnetic impulses in dispersion waveguide elements and model synthesis of new prototypes of such elements with interesting characteristics.The object of study is the transients in the propagation of electromagnetic waves in media and waveguides with a group velocity dispersion. Research methods: method of incomplete distribution of variables, method of integral transformations, method of exact absorbing conditions, method of finite differences in time domain, wavefront reversal method.Theoretical results: it is proved that the approximation of the laws of modulation of input signals by amplitude and frequency does not lead to a radical change in the shape of the compressed pulse at the output, solved the problem of compression of ultra-wideband EMI in a planar dielectric waveguide, which was turned into a spiral, strictly analyzed the compression of optical and infrared EMI in infinite medium. Novelty: two new approaches have been proposed and implemented, which allow to consider the two-dimensionality of initial-boundary value problems for -polarized waves propagating in "open" regions of Cartesian space and in -planecurved segments of plane-parallel metal and planar dielectric waveguides. Implementation: The results of the work can be used in the preparation and conduct of lectures in higher educational institutions of the Ministry of Education and Science of Ukraine, which investigates the scientific direction of diffraction of electromagnetic waves in waveguide systems with group velocity dispersion. Scope: The results obtained in the dissertation can be used in the design of dispersion compressors of electromagnetic pulses for communication systems, radio and geolocation, acceleration of charged particles and other areas where short and powerful pulses are required.