Simple model for the nonlinear radiation field of a free electron laser
It is shown that Jacobi elliptic function solutions of the nonlinear Duffing equation model the radiation field in a high-gain free electron laser through early saturation. After initial start-up, the field can be expressed equivalently with a hyperbolic secant. The model is derived for arbitrary de...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2020-12-01
|
| Series: | Physical Review Accelerators and Beams |
| Online Access: | http://doi.org/10.1103/PhysRevAccelBeams.23.120703 |
| id |
doaj-26771f2e956642f0b5ed4739f8232a60 |
|---|---|
| record_format |
Article |
| spelling |
doaj-26771f2e956642f0b5ed4739f8232a602021-02-11T23:55:04ZengAmerican Physical SocietyPhysical Review Accelerators and Beams2469-98882020-12-01231212070310.1103/PhysRevAccelBeams.23.120703Simple model for the nonlinear radiation field of a free electron laserErik HemsingIt is shown that Jacobi elliptic function solutions of the nonlinear Duffing equation model the radiation field in a high-gain free electron laser through early saturation. After initial start-up, the field can be expressed equivalently with a hyperbolic secant. The model is derived for arbitrary detuning from resonance, which enables study of the spectral properties in the early nonlinear regime.http://doi.org/10.1103/PhysRevAccelBeams.23.120703 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Erik Hemsing |
| spellingShingle |
Erik Hemsing Simple model for the nonlinear radiation field of a free electron laser Physical Review Accelerators and Beams |
| author_facet |
Erik Hemsing |
| author_sort |
Erik Hemsing |
| title |
Simple model for the nonlinear radiation field of a free electron laser |
| title_short |
Simple model for the nonlinear radiation field of a free electron laser |
| title_full |
Simple model for the nonlinear radiation field of a free electron laser |
| title_fullStr |
Simple model for the nonlinear radiation field of a free electron laser |
| title_full_unstemmed |
Simple model for the nonlinear radiation field of a free electron laser |
| title_sort |
simple model for the nonlinear radiation field of a free electron laser |
| publisher |
American Physical Society |
| series |
Physical Review Accelerators and Beams |
| issn |
2469-9888 |
| publishDate |
2020-12-01 |
| description |
It is shown that Jacobi elliptic function solutions of the nonlinear Duffing equation model the radiation field in a high-gain free electron laser through early saturation. After initial start-up, the field can be expressed equivalently with a hyperbolic secant. The model is derived for arbitrary detuning from resonance, which enables study of the spectral properties in the early nonlinear regime. |
| url |
http://doi.org/10.1103/PhysRevAccelBeams.23.120703 |
| work_keys_str_mv |
AT erikhemsing simplemodelforthenonlinearradiationfieldofafreeelectronlaser |
| _version_ |
1724274065687969792 |