A schematic layout of a magnetic field for an undulator model

The main component of the free electron laser is the undulator. Besides the numerical computation approach of the magnetic field generated by the undulator current, the other possibility is the analogical simulation. Such an approach is more intuitive and also enables a validation of the numerical simulation. The undulator consists of an asteroidal wire stack. In each wire of the stack the current circulates alternatively from a wire to another. The mathematical model uses operations like multiplications, divisions, radicals, trigonometric functions and integrations. These operations were simulated by using a harmonic oscillator, analog multipliers and integrators.