Division of accelerators, cryogenics and magnetism

Accelerator physics needs advanced modeling and simulation concepts. In order to able to improve the design and performance of future colliders, models of the magnetic fields non-linearities needs deeper understanding. These non-linearities mainly come from magnet fringe fields and ends connections. In this context a more precise description of the particles' motion inside a quadrupole can be obtained using advanced matematical techniques to derive a symplectic integrator. This sophisticated tracking codes require as input a description of the vector potential in the whole space inside the quadrupole.
In this seminar the procedure to provide a realistic vector potential is presented. It must be both precise and expressed in a form that allows a fast tracking (crucial in long-term simulations), starting from magnetic field or harmonics' data (simulated or measured).