• I. Zagorodnov, M. Dohlus
  DESY, Hamburg

We present a fully three dimensional time-domain simulation code for free-electron lasers. Compared to the existing codes, we have implemented different numerical schemes for tracking and field calculations. The equations of motion of the particles are integrated with a leap-frog scheme. The parabolic field equation is resolved with implicit Neumann finite difference scheme based on azimuthal expansion. Additionally we have implemented the open boundary condition with the help of perfectly matched layer for parabolic equation. The last feature allows for a mesh only in the bunch vicinity. The implemented field solver is accurate and fast. We test the accuracy of the code with different numerical tests and apply the code to estimate the expected properties of the radiation in FLASH facility with 3rd harmonic module.