PHYSICAL REVIEW A 98, 053418 (2018)
Coulomb potential effects in strong-field atomic ionization under elliptical polarization
RenPing Sun,
1, 2
XuanYang Lai,
1
Wei Quan,
1 , *
ShaoGang Yu,
1, 2
YanLan Wang,
1
SongPo Xu,
1, 2
ZhiLei Xiao,
1, 2
Yu Zhou,
1, 2
MingZheng Wei,
1, 2
Meng Zhao,
1, 2
and XiaoJun Liu
1 , †
1
State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics and Center for Cold Atom Physics,
Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
2
School of Physics, University of Chinese Academy of Sciences, Beijing 100080, China
(Received 9 July 2018; published 15 November 2018)
We experimentally and theoretically investigate strong-field ionization of noble-gas atoms in elliptically
polarized laser fields at 2000 nm. The ellipticity dependence of the ion yields has been measured at a series of
intensities and compared to various theoretical model predictions [i.e., the Ammosov-Delone-Krainov (ADK),
strong-field approximation (SFA), and Coulomb-Volkov distorted-wave approximation (CVA) models]. The
SFA and ADK calculations match each other, which alludes to the negligible contribution of nonadiabatic
effect. In the meantime, they both deviate significantly from the measurements. On the other hand, the good
agreement between CVA calculations and measurements reveals the salient role played by the Coulomb potential
in atomic ionization. The Coulomb potential effect is further confirmed by comparison of CVA calculations and
measurements at 800 nm. Our work demonstrates the significant Coulomb potential effect on the ionization
yields, the experimental evidence of which has rarely been documented.
DOI: 10.1103/PhysRevA.98.053418
I. INTRODUCTION
When an intense laser field (with an intensity I
10
13
W/cm
2
) interacts with an atom, the fundamental pro-
cess to occur is ionization. In the limit of long wavelength
and high intensity, the quasistatic approximation [1] can be
applied to comprehend the ionization dynamics. Within this
approximation, the ionization process can be understood with
the well-established static-field ionization theory, where the
valence electron tunnels through the barrier formed by the
static field and the Coulomb potential [2]. An extension of this
approach to arbitrary atoms and atomic ions has been achieved
by Ammosov, Delone, and Krainov (ADK) in 1986 [3]. After
tunneling, the electron could directly go to the detector, i.e.,
without any significant interaction with the atomic core, which
is usually termed as direct ionization. Alternatively, especially
in the linearly polarized laser field, the ionized electron may
return to the parent core and collide or combine with the
core to induce various highly nonlinear phenomena [4], such
as high-order above-threshold ionization (HATI) [5], high-
order harmonic generation (HHG) [6], nonsequential double
ionization (NSDI) [7], etc. Despite an inevitable role played
in the tunneling process, the effect of Coulomb potential on
the ultrafast strong-field ionization process has often been
underestimated in a lot of documented works (see, e.g., [8]).
Recently, it has been recognized that the influence of
Coulomb potential is indispensable for a variety of exper-
imental observations. For atomic ionization in linearly po-
larized laser field, the cusplike structure in transverse mo-
mentum distributions [9,10], the prominent structure in the
*
charlywing@wipm.ac.cn
†
xjliu@wipm.ac.cn
low-energy [11,12] and near-zero energy part [13,14] of the
photoelectron kinetic energy spectra or momentum distribu-
tion can all be attributed to the Coulomb potential effect. In the
nonsequential double-ionization process, Coulomb potential
is critical for the enhanced double-ionization yields [15] and
the fingerlike structure [16,17] in the photoelectron momen-
tum correlation distribution.
On the other hand, earlier works demonstrate that the
Coulomb potential effect could be also significant in the
atomic ionization in elliptically polarized laser fields [18],
where the nonvanishing electric-field component perpendic-
ular to the major polarization axis can effectively eliminate
the rescattering process. The typical signature of the Coulomb
potential effect for above-threshold ionization (ATI) in ellip-
tically polarized field has been shown experimentally [19,20],
manifested in fourfold asymmetry structure of photoelectron
angular distributions with respect to the main axes of po-
larization. In contrary, a symmetry structure is predicted by
the PPT theory (Perelomov, Popov, and Terentev) [21] and
strong-field approximation [22], where the Coulomb potential
is totally ignored. By using a dedicated semiclassical model,
Li et al. [23] disentangle the contribution of direct ionization
and multiple forward scattering to Coulomb asymmetry in
elliptical field.
In fact, the study of Coulomb potential effect in the ellip-
tically polarized field could be intriguing and the ionization
behavior of atoms in elliptically polarized laser fields has
attracted increasing attention in the strong-field physics com-
munity recently [19,24–29]. The investigations of attosecond
angular streaking [30,31] have achieved great successes in
extracting the tunneling delay. Technically, it is accomplished
by mapping the instant of ionization to the final angle of
the momentum vector in the polarization plane. It is shown
theoretically that the Coulomb potential of the atomic ion in
2469-9926/2018/98(5)/053418(6) 053418-1 ©2018 American Physical Society