Search academic texts

Information × Registration Number 0302U001596, 0100U003353 , R & D reports Title Number modelling of processes of powerful microwave rays generation by relativistic electron streams in multidimensional electrodynamic structures based on the method of singular integral equations. popup.stage_title Лінійна багатохвильова теорія потужних джерел НВЧ на основі методу сингулярних інтегральних рівнянь Head Gandel' Yu., Zagynajlov G., Registration Date 28-03-2002 Organization Kharkov National University named after V.N.Karazin popup.description2 The object of the research is power SHF - device with complex geometry. The subject of the research is construction mathematical model for the decision nearly stationary task of the diffraction into a smooth axial symmetrical ideal conduct screen with the periodical goffer. The theoretical foundation of this work is conducted before theory decision of the boundary pseudodifferential equation of the first order which is equivalent of the equation Fredholm of the second kind at the space [1]. The method of the research is turn to account of the parametrical introduction special type for the decision boundary task this decision being conducted to the decision hypersyngular integral equations. In distinctive from traditional approach to the problem numerical design of the electromagnetic field, put into practice foreign and taken on the basis of the direct methods digitization multi-measure equations of the Maxwell, this method is permit reduce size of the task and remove its decision to the building function from one variable. This function is satisfy at the hypersyngular integral equation and its digitization is driving to the well depend on the system linear algebraic equations. This circumstance is allow essential raise exactness numerical design and display presence of the resonance effects. This is general in case of construct, for example, such device as SHF - generators. Propose methods numerical design was founded of the deep investigation in the sphere boundary equation mathematical physic and modern methods of the numerical integration. The elaboration such methods is important contribution specialists of the Kharkov National University. Product Description popup.authors popup.nrat_date 2020-04-02 Close