Stogniy, N. P.Sakhnenko, N. K.2018-05-202018-05-202010Stogniy N. P. Modeling of transients in cylinder with time varying plasma / N. Stogniy, N. Sakhnenko // Young Scientists Conference (YSC-2010), June 21-24, 2010. – Kharkiv, 2010. – Y-19.http://openarchive.nure.ua/handle/document/5332Therefore accurate time domain modeling for investigation of electromagnetic field with time-varying plasma is of great importance. In this paper we investigate the transformation of the incident wave due to change of plasma frequency in the cylinder. The main interest is in the transient response, evaluation of the transition time and the transformed diffraction pattern in the steady state regime. The solution is obtained in a robust mathematical manner. For this we apply the Laplace transform directly to the wave equation and include the initial conditions that involve continuity of the electric field displacement and its derivative at zero moment of time. We generate the analytical solution in the Laplace transform domain in the form of the eigenfunctions expansion that satisfies the boundary conditions requiring continuity of the tangential components of the electric and magnetic field. We obtain the inversion of the image function by virtue of the evaluation of the residues in singular points and integrals along branch cuts of the complex plane.enplasmatransient plasmonelectromagnetic wavesConference proceedings