Physics of Wave Processes and Radio SystemsPhysics of Wave Processes and Radio Systems1810-31892782-294XPovolzhskiy State University of Telecommunications and Informatics7086UnknownBoundary value problem of finding the function of a source, creating a predetermined radiation fieldMalyshevG.S.okbm@okbm.nnov.ruRaevskiiA.S.physics@nntu.ruRaevskiiS.B.raevsky@nntu.ruSedakovA.Yu.niiis@niiis.nnov.ru01032017203717704092019Copyright © 2017, Malyshev G., Raevskii A., Raevskii S., Sedakov A.2017<p>Is formulated self-consistently the problem of radiation, which leads to a system of homogeneous Fredholm integral equations of 2nd kind with respect to the fields over the aperture of the emitter. It is shown that this system of equations allows to determine the function of the source, creating a desired field of radiation. The problem of calculating the radiation field from the end of a round open dielectric waveguide. It is shown that for algebraically integral equations in problems of this type can be used successfully the collocation method are.</p>apertureintegral equationscollocation methodduality principlethe self-consistent problemown wave of open dielectric waveguideprivate functionsапертураинтегральные уравненияметод коллокацийпринцип двойственностисамосогласованная задачасобственные волны открытого диэлектрического волноводасобственные функции