journal article·2020-12-24Open access

Free Electron Laser High Gain Equation and Harmonic Generation

Giuseppe Dattoli, Emanuele Di Palma, Silvia Licciardi, Elio Sabia

Applied Sciences· Volume 11· Issue 1

Abstract

The FEL integral equation is reviewed here and is studied under different contexts, accounting for diverse physical regimes. We include higher order harmonics and saturation effects, and explain the origin of scaling relations, widely exploited to describe either FEL dynamics or nonnlinear harmonic generation.
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Research context

OpenAlex topics: Particle Accelerators and Free-Electron Lasers · Particle accelerators and beam dynamics · Advanced X-ray Imaging Techniques

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Affiliations

ENEA—Frascati Research Center, Via Enrico Fermi 45, 00044 Rome, Italy

References (65)

Show source-provided references
1. Stimulated Emission of Bremsstrahlung in a Periodic Magnetic Field10.1063/1.1660466 ↗
2. Free Electron coherent sources: From microwave to X-rays10.1016/j.physrep.2018.02.005 ↗
3. Neyman, P.J., Colson, W.B., Gottschalk, S.C., Todd, A.M.M., Blau, J., and Cohn, K. (2017, January 20–25). Free Electron Lasers in 2017. Proceedings of the 38th International Free Electron Laser Conference, FEL2017, Santa Fe, NM, USA. Available online: https://accelconf.web.cern.ch/fel2017/papers/mop066.pdf.
4. 10 years of pioneering X-ray science at the Free-Electron Laser FLASH at DESY10.1016/j.physrep.2019.02.002 ↗
5. (2020, December 17). Topics. Available online: https://lcls.slac.stanford.edu/.
6. (2020, December 17). Topics. Available online: https://www.elettra.trieste.it/lightsources/fermi/machine.html.
7. (2020, December 17). Topics. Available online: http://xfel.riken.jp/eng/.
8. Colson, W.B. (1977). Free Electron Laser Theory. [Ph.D. Thesis, Stanford University].
9. Colson, W.B., Pellegrini, C., and Renieri, A. (1990). Classical Free Electron Laser Theory, Laser Handbook, North-Holland.
10. Saldin, E.L., Schneidmiller, E.V., and Yurkov, M.V. (2000). The Physics of Free Electron Lasers, Springer.10.1007/978-3-662-04066-9 ↗
11. Kim, K.J., Huang, Z., and Lindberg, R. (2017). Synchrotron Radiation and Free Electron Lasers, Cambridge University Press.10.1017/9781316677377 ↗
12. Bergmann, U., Yachandra, V., and Yano, J. (2017). X-ray Free Electron Laser: Applications in Materials, Chemistry and Biology, Royal Society of Chemistry.10.1039/9781782624097 ↗
13. Dattoli, G., Doria, A., Sabia, E., and Artioli, M. (2017). Charged Beam Dynamics, Particle Accelerators and Free Electron Lasers, IOP Publishing Ltd.10.1088/978-0-7503-1239-4 ↗
14. Szarmes, E.B. (2017). Classical Theory of Free-Electron Lasers, IOP Publishing Ltd.
15. Jaeschke, E., Khan, S., Schneider, J.R., and Hastings, J.B. (2016). Synchrotron Light Sources and Free-Electron Lasers, Springer.10.1007/978-3-319-14394-1 ↗
16. Behrens, C., Schmüser, P., Dohlus, M., and Rossbach, J. (2014). Free-Electron Lasers in the Ultraviolet and X-ray Regime, Springer.10.1007/978-3-319-04081-3 ↗
17. Dattoli, G., and Ottaviani, P.L. (1993). Fel Small Signal Dynamics and Electron Beam Prebunching, ENEA. ENEA Internal Report, RT/INN/93/10.
18. Dattoli, G., Ottaviani, P.L., and Pagnutti, S. (2007). Booklet for FEL Design: A Collection of Practical Formulae, ENEA—Edizioni Scientifiche.
19. Collective instabilities and high-gain regime in a free electron laser10.1016/0030-4018(84)90105-6 ↗
20. Quantum Electronics, Noise in Free Electron Laser Amplifier10.1109/JQE.1981.1071289 ↗
21. Progress in the Hamiltonian picture of the free-electron laser10.1109/JQE.1981.1071268 ↗
22. On the theory of ultrarelativistic cyclotron self-resonance masers10.1007/BF01038662 ↗
23. Nusinovich, G. (2004). Introduction to the Physics of Gyrotrons, The John Hopkins University Press.10.1353/book.62236 ↗
24. Common properties of free electron lasers10.1016/0030-4018(79)90382-1 ↗
25. Cyclotron auto resonance maser and free electron laser devices: A unified point of view10.1017/S0022377816001239 ↗
26. The High-Gain FEL Equation: An Inexpensive Numerical Algorithm10.1007/BF02813230 ↗
27. Dattoli, G., Renieri, A., and Torre, A. (1990). Lecture on Free Electron Laser Theory and Related Topics, World Scientific.
28. Observation of Self-Amplified Spontaneous-Emission-Induced Electron-Beam Microbunching Using Coherent Transition Radiation10.1103/PhysRevLett.81.5816 ↗
29. Nguyen, D.C., Sheffield, R.L., Fortgang, C.M., Kinross-Wright, J.M., Ebrahim, N.A., and Goldstein, J.C. (1997, January 12–16). A High-Power compact Regenerative Amplifier FEL. Proceedings of the 17th PAC Conference, Vancouver, BC, Canada. Available online: https://cds.cern.ch/record/909415?ln=it.10.2172/515649 ↗
30. Simple Model of Gain Saturation in Free Electron Laser10.1103/PhysRevA.44.8433 ↗
31. Logistic function and evolution of free-electron-laser oscillators10.1063/1.368365 ↗
32. Semi-analytical models of Free Electron Laser Saturation10.1016/S0030-4018(02)01201-4 ↗
33. Semi-analytical model of self-amplified spontaneous-emission free-electron lasers, including diffraction and pulse-propagation effects10.1063/1.1645979 ↗
34. Inclusion of Space-Charge Effects with Maxwell’s Equations in the Single-Particle Analysis of Free-Electron Lasers10.1109/JQE.1981.1071304 ↗
35. Free Electron Laser Operation in the Intermediate Gain Region10.1109/3.42063 ↗
36. Observation of Stimulated Emission of Radiation by Relativistic Electrons in a Spatially Periodic Transverse Magnetic Field10.1103/PhysRevLett.36.717 ↗
37. First Operation of a Free-Electron Laser10.1103/PhysRevLett.38.892 ↗
38. The nonlinear wave equation for higher harmonics in free-electron lasers10.1109/JQE.1981.1071273 ↗
39. Non Linear Harmonic Generation in high gain free electron laser10.1063/1.1886890 ↗
40. The PROMETEO Code: A flexible tool for Free Electron Laser study
41. Integral equation for the laser field in a long-pulse free-electron laser10.1103/PhysRevA.36.3222 ↗
42. Angular-gain spectrum of free-electron lasers10.1103/PhysRevA.31.828 ↗
43. Giannessi, L. (2016). Seeding and Harmonic Generation in Free-Electron Lasers. Synchrotron Light Sources and Free-Electron Lasers, Springer.10.1007/978-3-319-14394-1_3 ↗
44. Injection of harmonics generated in gas in a free electron laser providing intense and coherent extreme-ultraviolet light10.1038/nphys889 ↗
45. Free-electron-laser gain degradation and electron-beam quality10.1103/PhysRevA.34.4875 ↗
46. Free electron laser gain: Approximant forms and inclusion of inhomogeneous broadening contributions10.1063/1.359142 ↗
47. The pulse propagation problem in free electron lasers: Gain parametrization formulae10.1063/1.361493 ↗
48. Superradiance in the high-gain free-electron laser10.1103/PhysRevA.40.4467 ↗
49. Diffraction effects in the self-amplified spontaneous emission FEL10.1016/S0030-4018(00)01061-0 ↗
50. Properties of the third harmonic of the radiation from self-amplified spontaneous emission free electron laser10.1103/PhysRevSTAB.9.030702 ↗
51. Longitudinal dynamics of high gain free electron laser amplifiers10.1103/PhysRevSTAB.16.030704 ↗
52. Merminga, L., Morton, P.L., Seeman, J., and Spence, W.L. (1991, January 6–9). Transverse phase space in the presence of dispersion. Proceedings of the 1991 Institute of Electrical and Electronics Engineers (IEEE) Particle Accelerator Conference (PAC), San Francisco, CA, USA.
53. Slice emittance measurements at the SLAC Gun Test Facility10.1016/S0168-9002(03)00939-2 ↗
54. Ferrario, M., Alesini, D., Bellaveglia, M., Benfatto, M., Boni, R., Boscolo, M., Castellano, M., Chiadroni, E., Clozza, A., and Cultrera, L. (2009, January 23–28). Recent results of the SPARC FEL experiments. Proceedings of the 31st FEL Conference Liverpool, Liverpool, UK.
55. Preservation of low slice emittance in bunch compressors10.1103/PhysRevAccelBeams.19.034402 ↗
56. Unified view of free-electron laser dynamics and of higher-harmonics electron bunching10.1364/JOSAB.10.002136 ↗
57. Free electron laser small signal dynamics and inclusion of electron-beam energy phase correlation10.1063/1.370951 ↗
58. Energy Phase Correlation and Pulse Dynamics in Short Bunch High Gain FELs10.1016/j.optcom.2011.10.094 ↗
59. Slice emittance, projected emittance and properties of the SASE FEL radiation10.1016/j.nima.2011.12.099 ↗
60. Large harmonic bunching in a high-gain free-electron laser10.1016/0168-9002(90)90334-3 ↗
61. High gain amplifiers: Power oscillations and harmonic generation10.1063/1.2767255 ↗
62. Nonlinear pulse evolution in seeded free-electron laser amplifiers and in free-electron laser cascades10.1063/1.2010624 ↗
63. Postsaturation dynamics and superluminal propagation of a superradiant spike in a free-electron laser amplifier10.1103/PhysRevAccelBeams.23.010703 ↗
64. Analysis of the beam bunching produced by a free electron laser10.1063/1.871552 ↗
65. Theory of High Gain Free Electron Laser, operating with segmented undulators10.1063/1.2171810 ↗