Arabian Journal for Science and Engineering
https://doi.org/10.1007/s13369-020-05077-2
RESEARCH ARTICLE-PHYSICS
Study of Electron Dynamics Controlling the Threshold Intensity
Dependence on the Gas Pressure in FIR Laser-Induced Breakdown
of Molecular Oxygen: Effect of Loss Processes
Yosr E. E.-D. Gamal
1
· Khaled A. Elsayed
2
· Olodia A. Nassef
1
Received: 19 June 2020 / Accepted: 23 October 2020
© King Fahd University of Petroleum & Minerals 2020
Abstract
The current study is dedicated to investigating the electron dynamics of the breakdown and plasma generation in molecular
oxygen at a pressure extended from 4.6 to 75 kPa. The breakdown is motivated by far-infrared laser source operational at λ
10.591 μm, (hν ~ 0.12 eV) with pulse width 2τ 64 ns (FWHM) (Camacho et al. in J Phys D Appl Phys 41(10):105201,
2008). This experiment presumed the presence of a new electron ignition mechanism to produce a specific density of seed
electrons in the interaction region as a substitution of the negligible involvement of the photoionization process. The analysis
is grounded on adapting the electron cascade model given in our past paper (Evans and Gamal in J Phys D Appl Phys
13(8):1447, 1980). This model well thought out the determination of the threshold intensity as a function of gas pressure
taken into account the possible physical processes which may take place in the interaction volume. In doing so, the governing
differential equation that defines the variation of the energy of electrons during the laser pulse is solved numerically together
with a set of rate equations presenting the change of population of the excited states. The calculated breakdown threshold
intensity showed a reasonable agreement with the measured ones, where both indicated weak dependence over the tested
pressure range. This behavior is resolved by studying the individual effect of each loss processes involved in the model on
the threshold intensity concerning the experimentally assumed density of the initial electrons corresponding to the tested
gas pressure range. Besides, to evaluate the precise involvement of the action of the single loss process to the mechanism
responsible for plasma production, computations of the temporal variation of the density of electrons are carried out in the
presence and absence of the individual loss process.
Keywords Oxygen breakdown · CO
2
laser · Vibrational and rotational excitations · Inverse bremsstrahlung absorption ·
Stepwise collisional ionization · Dissociative attachment
1 Introduction
Since the invention of lasers, massive theoretical models
[3–8] are performed to investigate the experimental measure-
ments carried out to study spark ignition in gases under the
single effect of laser beams [9–13]. The models are centered
on the numerical solution of the equations, which describe
the variation of the electron energy adopting classical and
B Khaled A. Elsayed
Kaelsayed@iau.edu.sa
1
National Institute of Laser Enhanced Science (NILES), Cairo
University, Giza, Egypt
2
Department of Basic Engineering Sciences, College of
Engineering, Imam Abdulrahman Bin Faisal University, P.O.
Box 1982, Dammam 31441, Saudi Arabia
quantum aspects. In solving these equations, a density of
seed electrons must be present in the focal volume before
or along with firing on the laser source. These electrons
accumulate energy from the laser field through the inverse
bremsstrahlung absorption process to initiate a cascade ion-
ization mechanism, leading ultimately to gas breakdown. For
a detailed description of the breakdown development, the
models include the various loss processes which might take
place in the interaction region. These losses are acting to
retard or offset the electron growth rate and play a vital role
in the determination of the breakdown threshold concerning
the nature of the irradiated gas, its pressure, as well as the
focusing geometry of the laser beam used in the experiment.
For laser sources operating in the near infrared (NIR) to
the vacuum ultra-violet (VUV) of the electromagnetic spec-
trum range, these seed electrons are expected to be generated
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