Samoylyk S. Development of methods and models of analysis of waveguide-resonator systems with partial multilayer filling

Object – process of determining the electromagnetic field in waveguide-resonator systems. Aim – subsequent development of the method of integral equations of macroscopic electrodynamics and the method of partially intersecting regions for solving the problems of finding the electromagnetic field in waveguide-resonator systems with partial multilayer filling. Subject – methods and models of analysis of waveguide-resonator systems with partial multilayer filling. Methods – method of integral equation, method of partially intersecting regions, mathematical apparatus of microwave electrodynamics, apparatus of Green functions, methods of numerical analysis. Results – the method of integral equations of macroscopic electrodynamics was subsequently developed, which made it possible to obtain a mathematical model of a closed resonator with multilayer filling; mathematical model of a closed rectangular resonator with multilayer filling was proposed, which allowed to obtain analytical expressions for determination of the total energy; the method of partially intersecting regions was subsequently developed, which made it possible to obtain a mathematical model of a multilayer-filled passage resonator with strong and weak couplings of resonator and waveguide; Numerical analysis was performed on the basis of created mathematical model, which made it possible to calculate the power absorbed by multilayer inhomogeneities for a passage resonator with strong and weak couplings. Application – development of waveguide-resonator systems.