# The Nonlinear Theory of FEL

@article{Badikyan2016TheNT, title={The Nonlinear Theory of FEL}, author={Karen Badikyan}, journal={arXiv: Accelerator Physics}, year={2016} }

The nonlinear theory of relyativistic strophotron is developed. Classical equations of motion are averaged over fast oscillations. The slow motion phase and saturation parameter are found different from usual undulator oscillation parameters. In the strong field approximation the analytical expression of gain is found on higher harmonics of main resonance frequency.

## 7 Citations

### Averaging of Spontaneous Radiation in Relativistic Strophotron

- Physics
- 2016

The main resonance frequency is shown to depend on the initial conditions of the electron, and in particular on its initial transversal coordinate xo. This dependence is shown to give rise to a very…

### Spontaneous Radiation in Relativistic Strophotron

- Physics
- 2016

Spectral intensity of spontaneous radiation is calculated in relativistic strophotron. It is shown, that it in the strophotron is given by a superposition of contributions from emission at different…

### Electron Dynamics in Relativistic Strophotron

- Physics
- 2016

. Relativistic strophotron is a system in which fast electrons move along a potential “trough” produced by quadrupole electric lenses. Equations of motion in the strophotron field are investigated…

### The Gain in RS

- Physics
- 2017

The calculated linear gain in relativistic strophotron is averaged over electron distribution. It is shown, that after averaging resonance peaks remain in amplification spectrum. The nonresonant…

### The emitted energy in RS

- Physics
- 2016

The emitted energy of electrons is calculated in relativistic strophotron. It is shown, that it is superposition of amplification at harmonics of main resonance frequency of the system.

### Threshold for FELWI operation

- Physics
- 2016

It is shown that the possibility to create the free electron laser without inversion (FELWI) has a threshold behavior on the field of intensity of amplified wave. In the collective approach, the…

### Collective Description in FELWI

- Chemistry
- 2016

: The description of FELWI in the collective approach, is given The dispersion equations are obtained and discussed for both Raman and Thompson regimes.

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