Scaling law in nonsequential double ionization by counter-rotating two-color circularly polarized laser fields

Mian Peng; Lihua Bai

doi:10.3788/COL202018.110201

Journals >Chinese Optics Letters >Volume 18 >Issue 11 >Page 110201 > Article

Chinese Optics Letters
Vol. 18, Issue 11, 110201 (2020)

Scaling law in nonsequential double ionization by counter-rotating two-color circularly polarized laser fields

Mian Peng and Lihua Bai^*

Author Affiliations

Department of Physics, Shanghai University, Shanghai 200444, China

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DOI: 10.3788/COL202018.110201 Cite this Article Set citation alerts

Mian Peng, Lihua Bai. Scaling law in nonsequential double ionization by counter-rotating two-color circularly polarized laser fields[J]. Chinese Optics Letters, 2020, 18(11): 110201 Copy Citation Text

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Abstract

Nonsequential double ionization (NSDI) of noble gas atoms in counter-rotating two-color circularly polarized (CRTC) laser fields is investigated. A scaling law is concluded by qualitatively and quantitatively comparing the momentum distributions of two electrons from NSDI in CRTC laser fields for different atoms with different parameters. The scaling law indicates that the momentum distributions from an atom driven by CRTC laser frequency

ω_{1}

ω_{2}

, and laser intensity

I

are the same as that from another atom irradiated by CRTC laser frequency

k ω_{1}

k ω_{2}

, and laser intensity

k^{3} I

. This study can provide an avenue in the research of two-color laser field ionization.

Keywords

nonsequential double ionization scaling law two-color laser

H_{e} = \sum_{i = 1, 2} (\frac{p_{i}^{2}}{2} - \frac{2}{\sqrt{r_{i}^{2} + a^{2}}}) + \frac{1}{\sqrt{{(r_{1} - r_{2})}^{2} + b^{2}}},

(1)

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H = H_{e} + (r_{1} + r_{2}) \cdot E (t),

(2)

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E_{x} (t) = \frac{E_{0}}{\sqrt{2} (1 + γ_{E})} f (t) [\cos (ω_{1} t)] + \frac{γ_{E} E_{0}}{\sqrt{2} (1 + γ_{E})} f (t) [\cos (ω_{2} t)],

(3)

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E_{y} (t) = \frac{E_{0}}{\sqrt{2} (1 + γ_{E})} f (t) [\sin (ω_{1} t)] - \frac{γ_{E} E_{0}}{\sqrt{2} (1 + γ_{E})} f (t) [\sin (ω_{2} t)],

(4)

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\frac{d r_{i}}{d t} = \frac{\partial H}{\partial p_{i}}, \frac{d p_{i}}{d t} = - \frac{\partial H}{\partial r_{i}} .

(5)

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E_{k 1} + E_{k 2} = N ω - (I_{p 1} + I_{p 2}) - 2 u_{p} ω,

(6)

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u_{p} = I k^{3} / 4 {\bar{ω}}^{3} k^{3} = I / 4 {\bar{ω}}^{3},

(7)

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Mian Peng, Lihua Bai. Scaling law in nonsequential double ionization by counter-rotating two-color circularly polarized laser fields[J]. Chinese Optics Letters, 2020, 18(11): 110201

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