Radiation of a current ring bunch moving along the axis of a semiinfinite coaxial system

The excitation of the semiinfinite coaxial system by ring bunch with azimuthal current moving along the axis of the accelerating channel was studied. The boundary value problem comes to the system of two coupled integral equations of the Wiener-Hopf-Fock type. This system was solved by factorization of the matrix kern of the system of integral equations. The kern was decomposed over the projective matrices and the solution of the system of equations was determined by factorization of the eigenvalues of this expansion. The projective matrices were obtained by using the Pauli matrices. The analytic expressions for the radiation field, energy flux density and the radiative force, acting on the ring bunch were found. The numerical simulation via computer for the special configuration of the channel was performed. The energy flux and radiative force depending on the speed of bunch along the axis of system were determined