Use of the Lorentz-Boosted Frame Transformation to Simulate Free-Electron Laser Amplifier Physics
Abstract
Recently [1]it has been pointed out that numerical simulation of some systems containing charged particles with highly relativistic directed motion can by speeded up by orders of magnitude by choice of the proper Lorentz boosted frame. A particularly good example is that of short wavelength free-electron lasers (FELs) in which a high energy (E0>_ 250 MeV) electron beam interacts with a static magnetic undulator. In the optimal boost frame with Lorentz factor gamma F, the red-shifted FEL radiation and blue shifted undulator have identical wavelengths and the number of required time-steps (presuming the Courant condition applies) decreases by a factor of g2 F for fullyelectromagnetic simulation. We have adapted the WARP code [2]to apply this method to several FEL problems including coherent spontaneous emission (CSE) from pre-bunched e-beams, and strong exponential gain in a single pass amplifier configuration. We discuss our results and compare with those from the"standard" FEL simulation approach which adopts the eikonal approximation for propagation ofthe radiation field.
- Authors:
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- Accelerator& Fusion Research Division
- OSTI Identifier:
- 940581
- Report Number(s):
- LBNL-1003E
TRN: US0807163
- DOE Contract Number:
- DE-AC02-05CH11231
- Resource Type:
- Conference
- Resource Relation:
- Conference: The 13th Advanced Accelerator Concepts Workshop, Santa Cruz, CA, July 27-August 2, 2008
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 43; 97; ACCELERATORS; AMPLIFIERS; CHARGED PARTICLES; CONFIGURATION; EIKONAL APPROXIMATION; ELECTRON BEAMS; FREE ELECTRON LASERS; LASERS; PHYSICS; RADIATIONS; SIMULATION; TRANSFORMATIONS; WAVELENGTHS; WIGGLER MAGNETS; free-electron laser, electromagnetic simulation algorithms
Citation Formats
Fawley, W M, and Vay, J -L. Use of the Lorentz-Boosted Frame Transformation to Simulate Free-Electron Laser Amplifier Physics. United States: N. p., 2008.
Web.
Fawley, W M, & Vay, J -L. Use of the Lorentz-Boosted Frame Transformation to Simulate Free-Electron Laser Amplifier Physics. United States.
Fawley, W M, and Vay, J -L. 2008.
"Use of the Lorentz-Boosted Frame Transformation to Simulate Free-Electron Laser Amplifier Physics". United States. https://www.osti.gov/servlets/purl/940581.
@article{osti_940581,
title = {Use of the Lorentz-Boosted Frame Transformation to Simulate Free-Electron Laser Amplifier Physics},
author = {Fawley, W M and Vay, J -L},
abstractNote = {Recently [1]it has been pointed out that numerical simulation of some systems containing charged particles with highly relativistic directed motion can by speeded up by orders of magnitude by choice of the proper Lorentz boosted frame. A particularly good example is that of short wavelength free-electron lasers (FELs) in which a high energy (E0>_ 250 MeV) electron beam interacts with a static magnetic undulator. In the optimal boost frame with Lorentz factor gamma F, the red-shifted FEL radiation and blue shifted undulator have identical wavelengths and the number of required time-steps (presuming the Courant condition applies) decreases by a factor of g2 F for fullyelectromagnetic simulation. We have adapted the WARP code [2]to apply this method to several FEL problems including coherent spontaneous emission (CSE) from pre-bunched e-beams, and strong exponential gain in a single pass amplifier configuration. We discuss our results and compare with those from the"standard" FEL simulation approach which adopts the eikonal approximation for propagation ofthe radiation field.},
doi = {},
url = {https://www.osti.gov/biblio/940581},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Sun Jul 27 00:00:00 EDT 2008},
month = {Sun Jul 27 00:00:00 EDT 2008}
}