high harmonic generation is a useful tool for the generation of short, intense attosecond pulses. In order to simulate high harmonic generation, we performed a numerical solution to the time dependent Schrödinger equation. by considering dipole approximation, we predicted generation of a 53 attosecond pulse. In order to see the time and frequency of emission of attosecond pulse, we exploit time frequency analysis. On the other hand, because of uncertainty between time and frequency, it would be of high importance whether which analysis is been applied. our studies show that Gabor analysis exhibits the least uncertainty between time and frequency components. And at least, we set the balance between time and frequency distribution by altering the window size.

Type of Study: Research |
Subject:
Special

Received: 2017/01/2 | Revised: 2017/02/23 | Accepted: 2017/05/16 | Published: 2017/10/28

Received: 2017/01/2 | Revised: 2017/02/23 | Accepted: 2017/05/16 | Published: 2017/10/28

1. Z. chang, Fundamentals of Attosecond Optics, Taylor and Francis, 2011.

2. L. Plaja, R. Torres, and A. Zaïr, Attosecond Physics, Springer Series in Optical Sciences, 2013. [DOI:10.1007/978-3-642-37623-8]

3. P.B. Corkum and F. Krausz, "Attosecond science," Nature Phys. Vol. 3, pp. 381-387, 2007.

4. V.T. Platonenko, A.F. Sterjantov, and V.V. Strelkov, "Decrease of high harmonic generation yield in the barrier-suppression regime," Laser Phys. Vol. 13, pp. 443-449, 2003.

5. C.C. Chirila, I. Dreissigacker, E.V. van der Zwan, and M. Lein, "Emission times in high order harmonic generation," Phys. Rev. A, Vol. 81, pp. 033412 (1-7), 2010.

6. L. L.Yong, D. H.Chuan, and H. B.Tao, "High orde harmonic generation with a two color laser pulse," Chin. Phys. B, Vol. 21, pp. 033202 (1-5), 2012.

7. H. Du and B. Hu, "Broad band supercontinuum generation method combining mid infrared chirped pulse modulation and generalized polarization gating," Opt. Express, Vol. 18, pp. 25958-25966, 2010. [DOI:10.1364/OE.18.025958]

8. T. Nemati Aram, S. Batebi, and M. Mohebbi, "Numerical simulation of an intense isolated Attosecond pulse by a chirped two-color laser field," Int. J. Opt. Photon. Vol. 6, No. 1, pp. 3-12, 2012.

9. J.J. Carrera and Sh. Chu, "Estension of high order harmonic generation cutoff via coherent control of intense few cycle chirped laser pulses," Phys. Rev. A, Vol. 75, pp. 033807 (1-5), 2007.

10. P. Zou, Zh. Zeng, Y. Zheng, Y. Lu, P. Liu, R. Li, and Zh. Xu, "Coherent control of broad band isolated attosecond pulses in a chirped two color laser field," Phys. Rev. A, Vol. 81, pp. 033428, 2010. [DOI:10.1103/PhysRevA.81.033428]

11. H. Du, L. Luo, X. Wang, and B. Hu, "Isolated attosecond pulse generation from pre-excited medium with a chirped and chirped-free two color field," Opt. Express, Vol. 20, pp. 9713-9725, 2012. [DOI:10.1364/OE.20.009713]

12. M. Mohebbi, "Controlling the ionization and recombination rates of an electron in pre excited ions to generate an intense, isolated sub-4-as pulse in a multi cycle regime," Phys. Rev. A, Vol. 91, pp. 023835, 2015. [DOI:10.1103/PhysRevA.91.023835]

13. M. Mohebbi, "A strong single attosecond pulse generation from an atomic superposition state with chirped laser fields," Optik, Vol. 125, Issue 15, pp. 3818-3821, 2014. [DOI:10.1016/j.ijleo.2014.01.180]

14. S. Kim, J. Jin, Y. J. Kim, I. Y. Park, Y. Kim, and S. W. Kim, "High harmonic generation by resonant plasmon field enhancement," Nature, Vol. 453, pp. 757-760, 2008. [DOI:10.1038/nature07012]

15. X. Shan, D.H. Chuan, X. Yue, and H.B. Tao, "Generation of isolated attosecond pulses in bowtie shaped nanostructure with three color spatially inhomogeneous field," Chin. Phys. B, Vol. 24, pp. 054210 (1-8), 2015.

16. M.F. Ciappina, S.S. Acimovic, T. Shaaran, J. Biegert, R. Quidant, and M. Lewenstein, "Enhancement of high order harmonic generation by confining electron motion in plasmonic nanostructures," Vol. 20, Issue 24, pp. 26261-26274, 2012.

17. A. Husakou, S.J. Im, and J. Herrmann, "Theory of plasmon enhanced high harmonic generation in the vicinity of metal nanostructures in nobel gases," Phys. Rev. A, Vol. 83, 043839 (1-5), 2011.

18. H. Zhong, J. Guo, W. Feng, P. Ch. Li, and X. Sh. Liu, "Comparison of high harmonic generation and attosecond pulse from 3D Hydrogen atoms in three kinds of inhomogeneous fields," Vol. 380, Issue 1-2, pp. 188-193, 2016.

19. X. Cao, Sh. Jiang, Ch. Yu, Y. Wang, L. Bai, and R. Lu, "Generation of isolated sub-10-as pulses in spatially inhomogeneous two color field", Vol. 22, Issue 21, pp. 26153-26161, 2014.

20. Y.-Y. Yang, A. Scrinzi, A. Husakou, Q.-G. Li, S.L. Stebbings, F. Süßmann, H.-J. Yu, S. Kim, E. Rühl, J. Herrmann, X.-C. Lin, and M.F. Kling, "High harmonic and single attosecond pulse generation using plasmonic field enhancement in ordered arrays of gold nanoparticles with chirped laser pulses," Opt. Express, Vol. 21, pp. 2195-2205, 2013. [DOI:10.1364/OE.21.002195]

21. T. Shaaran, M.F. Ciappina, R. Guichard, J.A. Perez- Hernandez, M. Arnold, T. Siegel, A. Zair, and M. Lewenstein, "High order harmonic generation by enhanced plasmonic near fields in metal nanoparticles," Phys. Rev. A, Vol. 87, pp. 041402(1-6), 2013.

22. Y. Chou, P. Ch. Li, T.S. Ho, and S.I. Chu, "Generation of an isolated few attosecond pulse in optimized inhomogeneous two color field," Phys. Rev. A, Vol. 92, pp. 023423 (1-6), 2015.

23. X M Tong and C D Lin, "Empirical formula foe static field ionization rates of atoms and molecules by lasers in the barrier suppression regime," J. Phys. B: At. Mol. Opt. Phys. Vol. 38, pp. 2593–2600, 2005. [DOI:10.1088/0953-4075/38/15/001]

24. L. Fei, W. Guo-Li, Z. Song-Feng, and Z. Xiao-Xin, "Synthesis of multi-color, long laser pulses for strong attosecond pulse generation," Chin. Phys. Lett. Vol. 32, pp. 014210 (1-4), 2015.

25. P.Ch. Li, I.L. Liu, and Sh.I Chu, "optimization of three color laser field for the generation of single altra short attosecond pulse", Opt. Express, Vol. 19, pp., 23857-23866, 2011.

26. J.J. Carrera, X.M. Tong, and Sh.I. Chu, "Creation and control of a single coherent attosecond XUV pulse by few cycle intense laser pulse," Phys. Rev. A, Vol. 74, pp. 023404 (1-7), 2006.

27. A. Ahmadi, A. Maghari, H. Sabziyan, A.R. Niknam, and M. Vafaee, "Effects of nuclear motion on high order harmonic generation of in intense ultra-short laser pulses," Phys. Rev. A, Vol. 90, pp. 043411 (1-7), 2014.

28. Ph.E. Batson, "Plasmonic modes reveald," Science, Vol. 335, pp. 47-48, 2012. [DOI:10.1126/science.1215588]

29. J.M. Reed, Light matter interactions of plasmonic nanostructures, PHD Thesis, B.S. University of Central Florida, 2013.

30. C. Sonnichsen, Plasmons in metal nanostructures, PhD thesis, Ludwig-Maximilians-University, Munich, 2001.

31. H. Sabziyan and H. Ebadi, "Ionization of a 1D model of from different states in intense laser field," Iranian J. Science Technol. Trans. A, Vol. 33, No. A1, pp. 87-102, 2009.

32. C. chandre, S. Wiggins, and T. Uzer, "Time frequency analysis of chaotic systems," Vol. 181, pp. 171-196, 2003.