- #1
xylai
- 60
- 0
Lots of works about the high-order harmonic generation in the intense laser-atom physics obtain the harmonic spectrum by Fourier transformation of the dipole moment d(t) (=[tex]\int[/tex][tex]\varphi\varphi^{*}[/tex]z):
p([tex]\omega[/tex])=|[tex]\frac{1}{tf-ti}[/tex][tex]\int d(t)exp(-i\omega)[/tex]dt|[tex]^{2}[/tex]
Here, I want to use the Monte-Carlo method to generate the Harmonics. The trajectory r(t) of an electron in 3D Hydrogen system can be get. Then how can I obtain the harmonic spectrum for one electron? Can I use the Fourier transformation of r(t) directly?
p([tex]\omega[/tex])=|[tex]\frac{1}{tf-ti}[/tex][tex]\int r(t)*cos(\theta)exp(-i\omega)[/tex]dt|[tex]^{2}[/tex]
Thank you!
p([tex]\omega[/tex])=|[tex]\frac{1}{tf-ti}[/tex][tex]\int d(t)exp(-i\omega)[/tex]dt|[tex]^{2}[/tex]
Here, I want to use the Monte-Carlo method to generate the Harmonics. The trajectory r(t) of an electron in 3D Hydrogen system can be get. Then how can I obtain the harmonic spectrum for one electron? Can I use the Fourier transformation of r(t) directly?
p([tex]\omega[/tex])=|[tex]\frac{1}{tf-ti}[/tex][tex]\int r(t)*cos(\theta)exp(-i\omega)[/tex]dt|[tex]^{2}[/tex]
Thank you!