Elastic rescattering photoelectron distributions entering the relativistic regime

Sui S. Luo; Pat Grugan; Siyu Luo; Barry C. Walker

doi:10.3788/COL201513.070004

Journals >Chinese Optics Letters >Volume 13 >Issue 7 >Page 070004 > Article

Chinese Optics Letters
Vol. 13, Issue 7, 070004 (2015)

Elastic rescattering photoelectron distributions entering the relativistic regime

Sui S. Luo, Pat Grugan, Siyu Luo, and Barry C. Walker^*

Author Affiliations

Physics and Astronomy Department, University of Delaware, Newark, DE 19716, USA

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DOI: 10.3788/COL201513.070004 Cite this Article Set citation alerts

Sui S. Luo, Pat Grugan, Siyu Luo, Barry C. Walker. Elastic rescattering photoelectron distributions entering the relativistic regime[J]. Chinese Optics Letters, 2015, 13(7): 070004 Copy Citation Text

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Abstract

We report photoelectron energy spectra and angular distributions for ionization with elastic scattering in ultrastrong laser fields. Noble gas species with Hartree–Fock scattering potentials show a reduction in elastic rescattering with the increasing energy of ultrastrong fields and when the Lorentz deflection of the photoelectron exceeds its wave function spread. The relativistic extension of a three-step recollision model is well-suited to the ultrastrong intensity regime (

> 10^{17} W / {cm}^{2}

) that lies between traditional strong fields and extreme relativistic interactions.

E = E_{0} \sin (2 π / λ z - ω t) \exp (- {(t - \frac{z}{c})}^{2} / σ^{2}) \hat{x} .

(1)

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\frac{d p_{x}}{d t} = \frac{- Z e^{2} x}{{(r^{2} + δ)}^{3 / 2}} - e | E | [1 - \frac{p_{z}}{\sqrt{p^{2} + m^{2} c^{2}}}],

(2)

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\frac{d p_{y}}{d t} = \frac{- Z e^{2} y}{{(r^{2} + δ)}^{3 / 2}},

(3)

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\frac{d p_{z}}{d t} = \frac{- Z e^{2} z}{{(r^{2} + δ)}^{3 / 2}} - e | E | \frac{p_{x}}{\sqrt{p^{2} + m^{2} c^{2}}},

(4)

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\frac{d x}{d t} = \frac{p_{x} c}{\sqrt{p^{2} + m^{2} c^{2}}},

(5)

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\frac{d y}{d t} = \frac{p_{y} c}{\sqrt{p^{2} + m^{2} c^{2}}},

(6)

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\frac{d z}{d t} = \frac{p_{z} c}{\sqrt{p^{2} + m^{2} c^{2}}},

(7)

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\tan θ = \sqrt{2 m c^{2} / E_{kinetic}} .

(8)

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Sui S. Luo, Pat Grugan, Siyu Luo, Barry C. Walker. Elastic rescattering photoelectron distributions entering the relativistic regime[J]. Chinese Optics Letters, 2015, 13(7): 070004

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