Author
Abstract
In this paper, the propagation of a Gaussian and femtosecond laser pulse through a plasma channel is considered and the amount of induced chirp, as well as it’s type, on laser pulse frequency has been investigated. The group velocity dispersion (GVD) and relativistic effects has been taken into account in propagation equations. It is concluded that the relativistic effect induces positive chirp on laser pulse propagating into plasma channel for every initial chirp, while the GVD effect can induce a negative or positive chirp on laser pulse depending on initial chirp. As the relativistic effect overcomes on GVD in nonlinear region, the induced chirp would be positive. Comparing the results, it is concluded that propagating a laser pulse with initial positive chirp is more effective than a negative and un-chirped pulse for generating a higher wake field.
Keywords
2. Y Glinec, J Faure, V Malka, T Fuchs, H Szymanowski, and U Oelfke, Med. Phys. 33 (2006) 155.
3. T Fuchs, H Szymanowski, U Oelfke, Y Glinec, C Rechatin, J Faure, and V Malka, Phys. Med. Biol. 54 (2009) 3315.
4. K Shimoda, Appl. Opt.1 (1962) 33.
5. http://home.web.cern.ch/.
6. http://www.fnal.gov/
7. 1 P X Wang, Y K Ho, X Q Yuan, Q Kong, N Cao, L Shao, A M.Sessler, E Esarey, E Moshkovich, Y Nishida, N Yugami, H Ito, J X.Wang, and S Scheid, J. Appl. Phys. 91 (2002) 856.
8. Z Yan, Y K Ho, P X Wang, J F Hua, Z Chen, and L Wu, Appl. Phys. B: Lasers Opt. 81 (2005) 813.
9. Y I Salamin, Phys. Rev. A 73 (2006) 043402.
10. M O Scully and M S Zubairy, Phys. Rev. A 44 (1991) 2656.
11. R Bingham, U D E Angelis, M R Amin, R A Carins and B Mcnamara, Plasma Phys. Control. Fusion 34 (1992) 557.
12. T Tajima and J M Dawson, Phys. Rev. Lett. 43 (1979) 267.
13. V Malka, S Fritzler, E Lefebvre, M M Aleonard, F Burgy, J P Chambaret, J F Chemin, K Krushelnick, G Malka, S P D Mangles, Z Najmudin, M Pittman, J P Rousseau, J N Scheurer, B Walton, and A E Dangor, Science 298 (2002) 1596.
14. S Mirzanejhad, F Sohbatzadeh, M Asri, and K Ghanbari, Phys. Plasmas 17 (2010) 033103.
15. A G Khachatryan, Phys. Rev. E 60 (1999) 6210.
16. D Strickland and G Mourou, Opt. Commun. 56 (1985) 219.
17. F V Hartemann et al., Phys. Plasmas 6 (1999) 4104.
18. A G Khachatryan, F A van Goor, J W J Verschuur, and K J Boller, Phys. Plasmas 12 (2005) 062116.
19. F Sohbatzadeh, S Mirzanejhad, and M Ghasemi, Phys. Plasmas 13 (2006) 123108.
20. F Sohbatzadeh, S Mirzanejhad, and H Akou, Phys. Plasmas 16 (2009) 023106.
21. C B Schroeder, E Esarey, B A Shadwick and W P Leemans, Phys. Plasmas 10 (2003) 285.
22. D F Gordon, B Hafizi, R F Hubbard, J R Penano, P Sprangle, and A Ting, Phys. Rev. Lett. 90 (2003) 215001.
23. F Sohbatzadeh and H Akou, Phys. Plasmas 20 (2013) 043101.
24. P Sprangle, E Esarey, J Krall, and G Joyce, Phys. Rev. Lett. 69 (1992) 2200.
25. P Sprangle, A Ting and C M. Tang, Phys. Rev. A 36 (1987) 2773.
26. P Sprangle, B Hafizi, and J R Penano, Phys. Rev. E 61 (2000) 4381.