Three-dimensional vector beam-propagation method for second harmonic generation analysis

2001 ◽  
Vol 19 (5) ◽  
pp. 780-785 ◽  
Author(s):  
T. Yasui ◽  
M. Koshiba
1997 ◽  
Vol 14 (7) ◽  
pp. 1823 ◽  
Author(s):  
H. J. W. M. Hoekstra ◽  
O. Noordman ◽  
G. J. M. Krijnen ◽  
R. K. Varshney ◽  
E. Henselmans

2005 ◽  
Vol 37 (1-3) ◽  
pp. 121-131 ◽  
Author(s):  
Andrea Locatelli ◽  
Daniele Modotto ◽  
Costantino De Angelis ◽  
Filippo Maria Pigozzo ◽  
Antonio-Daniele Capobianco

2003 ◽  
Vol 35 (4/5) ◽  
pp. 429-452 ◽  
Author(s):  
A. Locatelli ◽  
F.-M. Pigozzo ◽  
F. Baronio ◽  
D. Modotto ◽  
A.-D. Capobianco ◽  
...  

2021 ◽  
Vol 28 (3) ◽  
Author(s):  
A. M. Kalitenko

A numerical study of the effect of betatron oscillations on the second harmonic generation in free-electron lasers (FELs) is presented. Analytical expressions for the effective coupling strength factors are derived that clearly distinguish all contributions in subharmonics and each polarization of the radiation. A three-dimensional time-dependent numerical FEL code that takes into account the main FEL effects and the individual contribution of each electron to the second harmonic generation is presented. Also, the X- and Y-polarizations of the second harmonic are analyzed. The second harmonic was detected in experiments at the Advanced Photon Source (APS) Low Energy Undulator Test Line (LEUTL) and Linac Coherent Light Source (LCLS) in the soft X-ray regime. The approach presented in the article can be useful for a comprehensive study and diagnostics of XFELs. In the paper, the LCLS and Pohang Accelerator Laboratory X-ray Free-Electron Laser (PAL-XFEL) experiments are modeled. The simulation results are in a good agreement with the experimental data.


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