Abstract
The Wiener-Hopf method is used to consider the resonant case of diffraction of TM mode incident on a segment of an ideally conducting cylinder of radius coaxially located inside an infinite waveguide of radius. The boundary value problem is first reduced to the paired integral equations and then to a system of linear algebraic equations. The parameters of eigenoscillations of an open cylindrical resonator are determined from the condition that the determinant of the system of algebraic equations is equal to zero.