Study the integro-differential equation in a lorentzian energy spread case

الملخص EN

The fundamentals of free electron laser (FEL) theory are now well–established and can provide a sophisticated description of experiments over a wide range of parameters.

While new technology is being developed for systems working from 1mm to 10nm wavelengths, the theory remains the same.

In this work, the final consequences of Lorentzian energy distribution in FEL amplifier will be found by solving of Integro-differential equation using symbolic toolbox services in MATLAB software v.

6.5 and the relation between several parameters will be delimited and plotted in order to extract and present the complex relations between the FEL parameters.