Coherent photons with angular momentum in a helical afterburner
Abstract
We analytically examine several important characteristics of coherent radiation emitted from a relativistic electron beam in a helical undulator. The goal is to highlight specific attributes relevant to the production of bright x-rays with angular momentum in a free-electron laser (FEL) afterburner. The far-field complex electric field distribution is derived, and for small forward emission angles, it is confirmed that the spin and orbital components of angular momentum in the radiation are separable, additive, and aligned with the handedness of the electron motion. The coherent energy radiated at harmonics h from a bunched electron beam is then calculated, and used to evaluate the emission energy from a FEL afterburner configuration. Results show that an afterburner undulator with $$N_u>>1$$ periods and of sufficient strength will produce harmonic pulses with energy $$~1/N^{h-1}_u$$ times that of the fundamental, depending on the Fresnel number $$N=kσ^2_x/L_u$$ of the radiating electron beam.
- Publication Date:
- Research Org.:
- SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1599521
- Alternate Identifier(s):
- OSTI ID: 1604897
- Grant/Contract Number:
- AC02-76SF00515; 2017-SLAC-100382
- Resource Type:
- Published Article
- Journal Name:
- Physical Review Accelerators and Beams
- Additional Journal Information:
- Journal Name: Physical Review Accelerators and Beams Journal Volume: 23 Journal Issue: 2; Journal ID: ISSN 2469-9888
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 43 PARTICLE ACCELERATORS
Citation Formats
Hemsing, Erik. Coherent photons with angular momentum in a helical afterburner. United States: N. p., 2020.
Web. doi:10.1103/PhysRevAccelBeams.23.020703.
Hemsing, Erik. Coherent photons with angular momentum in a helical afterburner. United States. https://doi.org/10.1103/PhysRevAccelBeams.23.020703
Hemsing, Erik. Tue .
"Coherent photons with angular momentum in a helical afterburner". United States. https://doi.org/10.1103/PhysRevAccelBeams.23.020703.
@article{osti_1599521,
title = {Coherent photons with angular momentum in a helical afterburner},
author = {Hemsing, Erik},
abstractNote = {We analytically examine several important characteristics of coherent radiation emitted from a relativistic electron beam in a helical undulator. The goal is to highlight specific attributes relevant to the production of bright x-rays with angular momentum in a free-electron laser (FEL) afterburner. The far-field complex electric field distribution is derived, and for small forward emission angles, it is confirmed that the spin and orbital components of angular momentum in the radiation are separable, additive, and aligned with the handedness of the electron motion. The coherent energy radiated at harmonics h from a bunched electron beam is then calculated, and used to evaluate the emission energy from a FEL afterburner configuration. Results show that an afterburner undulator with $N_u>>1$ periods and of sufficient strength will produce harmonic pulses with energy $~1/N^{h-1}_u$ times that of the fundamental, depending on the Fresnel number $N=kσ^2_x/L_u$ of the radiating electron beam.},
doi = {10.1103/PhysRevAccelBeams.23.020703},
journal = {Physical Review Accelerators and Beams},
number = 2,
volume = 23,
place = {United States},
year = {Tue Feb 11 00:00:00 EST 2020},
month = {Tue Feb 11 00:00:00 EST 2020}
}
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https://doi.org/10.1103/PhysRevAccelBeams.23.020703
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