Low-frequency generation by ionizing femtosecond laser pulse supplied by its second or half-harmonic
We calculate the free-electron residual current density excited in a gas by ionizing two-color femtosecond laser pulses containing an intense component centered at 800-nm and a weaker 400-nm (second-harmonic) or 1600-nm (half-harmonic) component with the use of quantum-mechanical (with the three-dim...
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| Опубліковано в: : | Вопросы атомной науки и техники |
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| Дата: | 2015 |
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Національний науковий центр «Харківський фізико-технічний інститут» НАН України
2015
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| Цитувати: | Low-frequency generation by ionizing femtosecond laser pulse supplied by its second or half-harmonic / I.D. Laryushin, L.S. Kuznetsov, V.A. Kostin, A.A. Silaev, N.V. Vvedenskii // Вопросы атомной науки и техники. — 2015. — № 4. — С. 270-273. — Бібліогр.: 14 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1859980768053297152 |
|---|---|
| author | Laryushin, I.D. Kuznetsov, L.S. Kostin, V.A. Silaev, A.A. Vvedenskii, N.V. |
| author_facet | Laryushin, I.D. Kuznetsov, L.S. Kostin, V.A. Silaev, A.A. Vvedenskii, N.V. |
| citation_txt | Low-frequency generation by ionizing femtosecond laser pulse supplied by its second or half-harmonic / I.D. Laryushin, L.S. Kuznetsov, V.A. Kostin, A.A. Silaev, N.V. Vvedenskii // Вопросы атомной науки и техники. — 2015. — № 4. — С. 270-273. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Вопросы атомной науки и техники |
| description | We calculate the free-electron residual current density excited in a gas by ionizing two-color femtosecond laser pulses containing an intense component centered at 800-nm and a weaker 400-nm (second-harmonic) or 1600-nm (half-harmonic) component with the use of quantum-mechanical (with the three-dimensional time-dependent Schrödinger equation solved numerically) and semiclassical approaches. The efficiency of residual current excitation by two-color pulses with additional second- and half-harmonic components is compared.
З застосуванням квантово-механічного (заснованого на числовому розв’язанні тривимірного нестаціонарного рівняння Шрьодингера) та полукласичного підходів розрахована залишкова густина струму вільних електронів, що збуджена в газі двокольоровими лазерними імпульсами, які складаються з сильного основного поля з довжиною хвилі 800 нм та більш слабкого додатку другої (400 нм) або половинної (1600 нм) гармонік. Проведено порівняння ефективності збудження залишкового струму двокольоровими імпульсами з додатком другої та половинної гармонік.
С использованием квантово-механического (основанного на численном решении трёхмерного нестационарного уравнения Шрёдингера) и полуклассического подходов рассчитана остаточная плотность тока свободных электронов, возбуждаемая в газе двухцветными лазерными импульсами, содержащими сильное основное поле с длиной волны 800 нм и более слабую добавку второй (400 нм) либо половинной (1600 нм) гармоник. Проведено сравнение эффективности возбуждения остаточного тока двухцветными импульсами с добавкой второй и половинной гармоник.
|
| first_indexed | 2025-12-07T16:26:15Z |
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| fulltext |
ISSN 1562-6016. ВАНТ. 2015. №4(98) 270
LOW-FREQUENCY GENERATION BY IONIZING FEMTOSECOND
LASER PULSE SUPPLIED BY ITS SECOND OR HALF-HARMONIC
I.D. Laryushin1,2, L.S. Kuznetsov2, V.A. Kostin1,2, A.A. Silaev1,2, N.V. Vvedenskii1,2
1Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod, Russia;
2Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia
E-mail: vved@appl.sci-nnov.ru
We calculate the free-electron residual current density excited in a gas by ionizing two-color femtosecond laser
pulses containing an intense component centered at 800-nm and a weaker 400-nm (second-harmonic) or 1600-nm
(half-harmonic) component with the use of quantum-mechanical (with the three-dimensional time-dependent Schrö-
dinger equation solved numerically) and semiclassical approaches. The efficiency of residual current excitation by
two-color pulses with additional second- and half-harmonic components is compared.
PACS: 52.38.-r, 42.65.Re, 32.80.Fb
INTRODUCTION
Laser-plasma terahertz sources using intense ionizing
femtosecond laser pulses attract nowadays great
attention in context of applications in remote sensing,
time-domain spectroscopy, imaging, etc. [1]. The two-
color schemes employing two-color femtosecond pulses
ionizing a gas are some of the most popular laser-
plasma schemes and can provide high output terahertz
field amplitudes (up to 8 MV/cm) with bandwidth
exceeding 100 THz [2 - 6]. Taking into consideration
the accessibility of the working medium (which can
simply be the ambient air [1 - 3; 5 - 9]) one can find
such schemes to be of great interest for investigation.
The ways to generate the additional field for a two-
color pulse in second- and of half-harmonic cases are
different: the second harmonic is usually obtained from
a nonlinear crystal [1 - 5, 7, 8], while the half-harmonic
can be generated in an optical parametric amplifier
[6, 9]. In this work, we compare the terahertz generation
efficiency in these two schemes via ab initio numerical
calculations.
The main source of low-frequency terahertz radiation
in the two-color schemes is the plasma oscillation in the
long wakefield of the laser pulse. The amplitude of this
oscillation is proportional to the free-electron residual
current density (RCD) [9 - 13] remaining in plasma
behind the passed laser pulse. Since the additional field
in ionizing two-color pulse is usually generated with the
main field used as a pump, it is reasonable to compare
the half- and the second-harmonic schemes by
analyzing the dependencies of RCD on the additional
component intensity I1 with main component intensity I0
fixed.
1. MODEL EQUATIONS
The electric field of the two-color laser pulse is as-
sumed to be linearly polarized along the x axis, and the
field x component is given as follows,
.2ln2exp)]cos(cos[)( 2
2
1100
−++=
p
ttEtEtE
τ
ϕωω (1)
Here E0 and E1 are maximum amplitudes of the main
and additional components, respectively, E0 >> E1; ω0 is
the main field carrier frequency; ω1 is the additional
field carrier frequency, ω1 = 2ω0 in case of additional
second harmonic and ω1 = ω0/2 in case of additional
half harmonic; φ is the phase shift between the main and
the additional field carriers; τp is the laser pulse duration
(intensity full width at half-maximum).
1.1. THE QUANTUM-MECHANICAL
APPROACH
The quantum-mechanical approach to calculating
RCD employs the three-dimensional time-dependent
Schrödinger equation for an electron wavefunction
ψ(r, t) in hydrogen atom under the action of electric
field specified above and the electric field of the nucle-
us,
).,()(
2
),( 2
2
2
txteE
r
e
mt
ti rr ψψ
−−∇−=
∂
∂
(2)
Here is the reduced Planck constant; e and m are the
electron charge and mass, respectively. This equation is
solved numerically, and the RCD is calculated from the
resulted wavefunction. The details on the approach and
simulations methods are described in [12]. This ap-
proach (unlike the semiclassical approach) accounts for
such features of electron dynamics as bound-bound
transitions and free-bound ones with non-zero velocities
of free state, recombination, free-electron motion under
joint action of laser and nucleus fields.
1.2. THE SEMICLASSICAL APPROACH
The semiclassical approach to calculating RCD is
used in this work as an approximation to the compre-
hensive quantum-mechanical solution in cases of high
computational complexity. Within this approach, the
RCD is found from equations for the free-electron den-
sity N(t) and the residual current density jRCD in laser-
produced plasma [9-13]:
,'|))'((|exp1)(
−−= ∫
∞−
t
g dttEwNtN (3)
∫
+∞
∞−
= .)()(
2
dttEtN
m
ejRCD
(4)
Here Ng is the initial density of neutral particles, and
w(|E|) is the probability of atom ionization per unit time
as a function of electric field at some time instant. We
use the analytical formula for the probability of the tun-
neling ionization from [14],
,||12
||3
2exp
||
4|)(|
−−=
a
aa
a E
E
E
E
E
EEw ω (5)
ISSN 1562-6016. ВАНТ. 2015. №4(98) 271
where ωa = 4.13 × 1016 s−1 and Ea = 5.14 × 109 V/cm are
the atomic units of frequency and field strength, respec-
tively.
2. RESULTS OF NUMERICAL
CALCULATIONS
In our calculations, we used the pulses with duration
τp = 30 fs and wavelength λ0 = 2πc/ω0 = 800 nm. In all
the calculations performed, we find the optimum phase
shift value φopt corresponding to the maximal RCD pro-
duced, and choose that value for the result presentation.
Thus, we focus on the dependences )2/1(
RCDj (I0, I1) and
)2(
RCDj (I0, I1) of the RCD on intensities of the main and
additional laser components in two compared cases
(with ω1 = ω0/2 and ω1 = 2ω0).
We start with comparing the results for RCD from
quantum-mechanical and semiclassical calculations for
pulses with I1/I0 = 0.04 for both half-harmonic and sec-
ond-harmonic cases to determine the validity region of
the semiclassical approach. The result of comparison is
illustrated in Fig. 1 (for additional second-harmonic
field) and Fig. 2 (for additional half-harmonic field),
where the RCD versus the intensity I0 is plotted. It can
be seen that there is a good (both quantitative and quali-
tative) agreement between semiclassical and quantum-
mechanical calculations for intensities I0 ≥ 1014 W/cm2
which correspond to the tunnel ionization.
Fig. 1. The residual current density (normalized to Ng)
from quantum-mechanical (dots) and semiclassical
(dashed line) calculations as a function of the intensity
I0 of main laser component in ionizing two-color laser
pulse with the intensity I1 = 0.04I0 of the additional
second harmonic at the optimum phase shift; the laser
pulse duration is τp = 30 fs, the laser wavelength
is λ0 = 800 nm
The results of quantum-mechanical and semiclassi-
cal computations of RCD dependence on the intensities
of the additional field are presented in Fig. 3 for pulses
with the main field intensity I0 = 3 × 1014 W/cm2. These
dependences on the additional field intensities have pow-
er scalings at not so large I1, )2/1(
RCDj ~ I1 and )2(
RCDj ~ I1
1/2.
The scalings can also be obtained analytically from
semiclassical approach (see Ref. [10, 13]).
Thus, one can find the value of intensity I*(I0, α) such
that )2/1(
RCDj (I0, I*) = )2(
RCDj (I0, αI*) where α is an arbitrary
positive constant.
Fig. 2. The residual current density (normalized to Ng)
from quantum-mechanical (dots) and semiclassical
(dashed line) calculations as a function of the intensity
I0 of main laser component in ionizing two-color laser
pulse with the intensity I1 = 0.04I0 of the additional
half-harmonic at the optimum phase shift; the laser
pulse duration is τp = 30 fs, the laser wavelength is
λ0 = 800 nm
Fig. 3. The dependence of normalized residual current
density (at the optimum phase shift) on the intensity I1 of
additional field from quantum-mechanical calculations
(circles and squares) and semiclassical calculations
(solid and dashed lines) for second-harmonic additional
field (dashed line, circles) and half-harmonic additional
field (solid line, squares); I0 = 3 × 1014 W/cm2
This intensity value corresponds to the equal te-
rahertz yields in the cases of half- and second-harmonic
additional fields with the main field intensity and the
ratio α of the additional field generation efficiencies in
these two cases fixed. In other words, with I0 and α giv-
en, the use of the half-harmonic additional field is pref-
erable (rather than the second-harmonic one) if half-
harmonic intensity I1 > I*(I0, α). We use the semiclassi-
cal approach to find the function I*(I0, α), which is pre-
sented in Fig. 4.
As it is seen, the ratio I*/I0 has complex behavior as
function of α and I0 within the range
1014 W/cm2 < I0 < 1.5 × 1014 W/cm2, but it saturates and
is almost independent of I0 for I0 > 1.5 × 1014 W/cm2:
while I* is a strong function of α at low intensities, it
depends on α much weaker at higher intensities. This
saturation may be explained by the depletion of neutral
particles by ionization on the laser pulse front with main
component being intense enough. For α = 1, I*/I0 satu-
rates to 0.085. Thus, for equal second- and half-
harmonic additional fields, using half-harmonic is pref-
ISSN 1562-6016. ВАНТ. 2015. №4(98) 272
erable when the intensity additional field is greater than
8...9%. Overall, in a wide range of laser pulse total in-
tensities, the half harmonic becomes preferable for ef-
fective terahertz generation when half-harmonic genera-
tion efficiency is greater then several percents (5...10%).
Fig. 4. The minimum half-harmonic intensity I*
(normalized to the main field intensity) required for the
addition of half-harmonic to be at least as effective as
the addition of second harmonic versus the main field
intensity I0 at various values of efficiency ratios of addi-
tional field generation in half-harmonic and second-
harmonic cases: α = 0.5 (dotted line), α = 1 (solid line),
α = 1.3 (dashed line), α = 2 (dash dotted line)
CONCLUSIONS
The excitation of residual current density is studied
numerically for two-color laser-plasma scheme of te-
rahertz generation with the use of the quantum-
mechanical and semiclassical approaches. This scheme
employs ionizing femtosecond two-color laser pulses
which consist of a strong main field and a weaker addi-
tional field at doubled or halved frequency of the main
field. We compare the results of semiclassical and quan-
tum-mechanical approaches and prove that the semi-
classical approach can be used for calculation of the
residual current density for high enough intensities of
the main field in the cases of both second- and half-
harmonic additional fields. By comparing the residual
current density in these two cases, we show that the
addition of the half-harmonic field provides more effi-
cient terahertz generation than the addition of the sec-
ond harmonic for half-harmonic intensity greater than
several percents of the total laser pulse intensity in a
wide range of laser pulse parameters.
ACKNOWLEDGEMENTS
The semiclassical calculations (I. D. L., L. S. K.)
were performed with the support from the Government
of the Russian Federation (Agreement No.
14.B25.31.0008) and the Russian Foundation for Basic
Research (Grants No. 13-02-00964, No. 14-02-00847,
and No. 14-02-31722). The development of semiclassi-
cal program codes in the part concerning the determina-
tion of the optimum phase shift (V. A. K.) was support-
ed by the Russian Science Foundation (Grant No. 14-
12-00811). The quantum-mechanical simulations (A. A.
S., N. V. V.) were carried out with the support from the
Russian Science Foundation (Grant No. 15-12-10033).
REFERENCES
1. B. Clough, J. Dai, X.-C. Zhang. Laser air photonics:
beyond the terahertz gap // Materials Today. 2012,
v. 15, № 1, p. 50-58.
2. T.I. Oh, Y.S. You, N. Jhajj, E.W. Rosenthal,
H.M. Milchberg, K.Y. Kim. Intense terahertz gener-
ation in two-color laser filamentation: energy scaling
with terawatt laser systems // New Journal of Phys-
ics. 2013, v. 15, p. 075002-1-17.
3. T.I. Oh, Y.J. Yoo, Y.S. You, K.Y. Kim. Generation
of strong terahertz fields exceeding 8 MV/cm at 1
kHz and real-time beam profiling // Applied Physics
Letters. 2014, v.105, № 4, p.041103-1-3.
4. P. González de Alaiza Martínez, I. Babushkin,
L. Bergé, S. Skupin, E. Cabrera-Granado, C. Köhler,
U. Morgner, A. Husakou, J. Herrmann. Boosting te-
rahertz generation in laser-field ionized gases using
a sawtooth wave shape // Physical Review Letters.
2015, v. 114, p. 183901-1-5.
5. M.D. Thomson, V. Blank, H.G. Roskos. Terahertz
white-light pulses from an air plasma photo-induced
by incommensurate two-color optical fields // Optics
Express. 2010, v. 18, p. 23173-23182.
6. M. Clerici, M. Peccianti, B.E. Schmidt, L. Caspani,
M. Shalaby, M. Giguère, A. Lotti, A. Couairon,
F. Légaré, T. Ozaki, D. Faccio, R. Morandotti.
Wavelength scaling of terahertz generation by gas
ionization // Physical Review Letters. 2013, v. 110,
№ 25, p. 253901-1-5.
7. A. Gorodetsky, A.D. Koulouklidis, M. Massaouti,
S. Tzortzakis. Physics of the conical broadband te-
rahertz emission from two-color laser-induced plas-
ma filaments // Physical Review A. 2014, v. 89, № 3,
p. 033838-1-6.
8. F. Théberge, M. Châteauneuf, G. Roy, P. Mathieu,
J. Dubois. Generation of tunable and broadband far-
infrared laser pulses during two-color filamentation.
// Physical Review A. 2010, v. 81, № 3, p. 033821-1-5.
9. N.V. Vvedenskii, A.I. Korytin, V.A. Kostin,
A.A. Murzanev, A.A. Silaev, A.N. Stepanov. Two-
Color Laser-Plasma Generation of Terahertz Radia-
tion Using a Frequency-Tunable Half Harmonic of a
Femtosecond Pulse // Physical Review Letters. 2014,
v. 112, p. 055004-1-5.
10. V.B. Gildenburg, N.V. Vvedenskii. Optical-to-THz
wave conversion via excitation of plasma oscilla-
tions in the tunneling-ionization process // Physical
Review Letters. 2007, v. 98, p. 245002-1-4.
11. A.A. Silaev, N.V. Vvedenskii. Residual-current ex-
citation in plasmas produced by few-cycle laser
pulses // Physical Review Letters. 2009, v. 102,
p. 115005-1-4.
12. A.A. Silaev, N.V. Vvedenskii. Analytical descrip-
tion of generation of the residual current density in
the plasma produced by a few-cycle laser pulse //
Physics of Plasmas. 2015, v. 22, p. 053103-1-14.
13. A.A. Silaev, V.A. Kostin, I.D. Laryushin,
N.V. Vvedenskii. Analytical study of residual-
current excitation during gas ionization by two-color
laser pulse // Journal of Physics: Conference Series.
2015, v. 594, № 1, p. 12020-12026.
http://arxiv.org/find/physics/1/au:+Martinez_P/0/1/0/all/0/1
http://arxiv.org/find/physics/1/au:+Babushkin_I/0/1/0/all/0/1
http://arxiv.org/find/physics/1/au:+Berge_L/0/1/0/all/0/1
http://arxiv.org/find/physics/1/au:+Skupin_S/0/1/0/all/0/1
http://arxiv.org/find/physics/1/au:+Cabrera_Granado_E/0/1/0/all/0/1
http://arxiv.org/find/physics/1/au:+Kohler_C/0/1/0/all/0/1
http://arxiv.org/find/physics/1/au:+Morgner_U/0/1/0/all/0/1
http://arxiv.org/find/physics/1/au:+Husakou_A/0/1/0/all/0/1
http://arxiv.org/find/physics/1/au:+Herrmann_J/0/1/0/all/0/1
ISSN 1562-6016. ВАНТ. 2015. №4(98) 273
14. X.M. Tong, C.D. Lin. Empirical formula for static
field ionization rates of atoms and molecules by la-
sers in the barrier-suppression regime // Journal of
Physics B: Atomic, Molecular and Optical Physics.
2005, v. 38, p. 2593-2600.
Article received 02.06.2015
НИЗКОЧАСТОТНАЯ ГЕНЕРАЦИЯ ПРИ ИСПОЛЬЗОВАНИИ ИОНИЗИРУЮЩИХ
ФЕМТОСЕКУНДНЫХ ЛАЗЕРНЫХ ИМПУЛЬСОВ C ДОБАВОЧНЫМИ ВТОРОЙ
ИЛИ ПОЛОВИННОЙ ГАРМОНИКАМИ
И.Д. Ларюшин, Л.С. Кузнецов, В.А. Костин, А.А. Силаев, Н.В. Введенский
С использованием квантово-механического (основанного на численном решении трёхмерного нестацио-
нарного уравнения Шрёдингера) и полуклассического подходов рассчитана остаточная плотность тока сво-
бодных электронов, возбуждаемая в газе двухцветными лазерными импульсами, содержащими сильное ос-
новное поле с длиной волны 800 нм и более слабую добавку второй (400 нм) либо половинной (1600 нм)
гармоник. Проведено сравнение эффективности возбуждения остаточного тока двухцветными импульсами с
добавкой второй и половинной гармоник.
НИЗЬКОЧАСТОТНА ГЕНЕРАЦІЯ ПРИ ВИКОРИСТАННІ ІОНІЗУЮЧИХ ФЕМТОСЕКУНДНИХ
ЛАЗЕРНИХ ІМПУЛЬСІВ З ДОДАТКОВОЮ ДРУГОЮ АБО ПОЛОВИННОЮ ГАРМОНІКАМИ
І.Д. Ларюшин, Л.С. Кузнецов, В.А. Костін, О.А. Силаєв, М.В. Введенський
З застосуванням квантово-механічного (заснованого на числовому розв’язанні тривимірного нестаціона-
рного рівняння Шрьодингера) та полукласичного підходів розрахована залишкова густина струму вільних
електронів, що збуджена в газі двокольоровими лазерними імпульсами, які складаються з сильного основно-
го поля з довжиною хвилі 800 нм та більш слабкого додатку другої (400 нм) або половинної (1600 нм) гар-
монік. Проведено порівняння ефективності збудження залишкового струму двокольоровими імпульсами з
додатком другої та половинної гармонік.
http://iopscience.iop.org/0953-4075
INTRODUction
1. MODEL EQUATIONS
1.1. THE QUANTUM-MECHANICAL APPROACH
1.2. THE SEMICLASSICAL APPROACH
2. results of numerical calculations
CONCLUSIONS
ACKNOWLEDGEMENTS
REFERENCES
|
| id | nasplib_isofts_kiev_ua-123456789-112218 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1562-6016 |
| language | English |
| last_indexed | 2025-12-07T16:26:15Z |
| publishDate | 2015 |
| publisher | Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
| record_format | dspace |
| spelling | Laryushin, I.D. Kuznetsov, L.S. Kostin, V.A. Silaev, A.A. Vvedenskii, N.V. 2017-01-18T19:44:04Z 2017-01-18T19:44:04Z 2015 Low-frequency generation by ionizing femtosecond laser pulse supplied by its second or half-harmonic / I.D. Laryushin, L.S. Kuznetsov, V.A. Kostin, A.A. Silaev, N.V. Vvedenskii // Вопросы атомной науки и техники. — 2015. — № 4. — С. 270-273. — Бібліогр.: 14 назв. — англ. 1562-6016 PACS: 52.38.-r, 42.65.Re, 32.80.Fb https://nasplib.isofts.kiev.ua/handle/123456789/112218 We calculate the free-electron residual current density excited in a gas by ionizing two-color femtosecond laser pulses containing an intense component centered at 800-nm and a weaker 400-nm (second-harmonic) or 1600-nm (half-harmonic) component with the use of quantum-mechanical (with the three-dimensional time-dependent Schrödinger equation solved numerically) and semiclassical approaches. The efficiency of residual current excitation by two-color pulses with additional second- and half-harmonic components is compared. З застосуванням квантово-механічного (заснованого на числовому розв’язанні тривимірного нестаціонарного рівняння Шрьодингера) та полукласичного підходів розрахована залишкова густина струму вільних електронів, що збуджена в газі двокольоровими лазерними імпульсами, які складаються з сильного основного поля з довжиною хвилі 800 нм та більш слабкого додатку другої (400 нм) або половинної (1600 нм) гармонік. Проведено порівняння ефективності збудження залишкового струму двокольоровими імпульсами з додатком другої та половинної гармонік. С использованием квантово-механического (основанного на численном решении трёхмерного нестационарного уравнения Шрёдингера) и полуклассического подходов рассчитана остаточная плотность тока свободных электронов, возбуждаемая в газе двухцветными лазерными импульсами, содержащими сильное основное поле с длиной волны 800 нм и более слабую добавку второй (400 нм) либо половинной (1600 нм) гармоник. Проведено сравнение эффективности возбуждения остаточного тока двухцветными импульсами с добавкой второй и половинной гармоник. en Національний науковий центр «Харківський фізико-технічний інститут» НАН України Вопросы атомной науки и техники Нелинейные процессы в плазменных средах Low-frequency generation by ionizing femtosecond laser pulse supplied by its second or half-harmonic Низькочастотна генерація при використанні іонізуючих фемтосекундних лазерних імпульсів з додатковою другою або половинною гармоніками Низкочастотная генерация при использовании ионизирующих фемтосекундных лазерных импульсов с добавочными второй или половинной гармониками Article published earlier |
| spellingShingle | Low-frequency generation by ionizing femtosecond laser pulse supplied by its second or half-harmonic Laryushin, I.D. Kuznetsov, L.S. Kostin, V.A. Silaev, A.A. Vvedenskii, N.V. Нелинейные процессы в плазменных средах |
| title | Low-frequency generation by ionizing femtosecond laser pulse supplied by its second or half-harmonic |
| title_alt | Низькочастотна генерація при використанні іонізуючих фемтосекундних лазерних імпульсів з додатковою другою або половинною гармоніками Низкочастотная генерация при использовании ионизирующих фемтосекундных лазерных импульсов с добавочными второй или половинной гармониками |
| title_full | Low-frequency generation by ionizing femtosecond laser pulse supplied by its second or half-harmonic |
| title_fullStr | Low-frequency generation by ionizing femtosecond laser pulse supplied by its second or half-harmonic |
| title_full_unstemmed | Low-frequency generation by ionizing femtosecond laser pulse supplied by its second or half-harmonic |
| title_short | Low-frequency generation by ionizing femtosecond laser pulse supplied by its second or half-harmonic |
| title_sort | low-frequency generation by ionizing femtosecond laser pulse supplied by its second or half-harmonic |
| topic | Нелинейные процессы в плазменных средах |
| topic_facet | Нелинейные процессы в плазменных средах |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/112218 |
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