We present a model for calculating the field E(x, y, z, t) which result as a coherent beam combining (CBC) of two beams propagating under a given angle, each being specified by the pulse energy, duration, direction of polarization, carrier to envelope phase, each being focused independently in a common interaction region. We present the main capabilities of the model, estimate CBC efficiency, and show selected results to demonstrate the usefulness of such calculation for experiments to be performed at ELI-NP facility.

1.
Brignon
,
A
, ed.,
Coherent Laser Beam Combining
(
Wiley
,
2013
) pp.
277
301
.
2.
A.
Klenke
,
E.
Seise
,
J.
Limpert
,
A.
Tünnermann
, and
H.-i.
Jena
, “
Basic considerations on coherent combining of ultrashort laser pulses
,”
Optics express
19
,
25379
25387
(
2011
).
3.
Z.
Liu
,
X.
Jin
,
R.
Su
,
P.
Ma
, and
P.
Zhou
, “
Development status of high power fiber lasers and their coherent beam combination
,”
Science China-Information Sciences
62
(
2019
), .
4.
S. N.
Bagayev
,
V. E.
Leshchenko
,
V. I.
Trunov
,
E. V.
Pestryakov
, and
S. a.
Frolov
, “
Coherent combining of femtosecond pulses parametrically amplified in BBO crystals
.”
Optics letters
39
,
1517
20
(
2014
).
5.
S. N.
Bagayev
,
V. I.
Trunov
,
E. V.
Pestryakov
,
V. E.
Leschenko
,
S. A.
Frolov
, and
V. A.
Vasiliev
, “
High Intensity Femtosecond Laser Systems Based on Coherent Combining of Optical Fields
,”
Optics and Spectroscopy
115
,
356
366
(
2013
).
6.
A. V.
Andrianov
,
A. V.
Kim
,
E. A.
Anashkina
,
I. B.
Meyerov
, and
S. A.
Lebedev
, “
Modeling of coherent beam combining from multimillijoule chirped pulse tapered fiber amplifiers
,”
Eur. Phys. J. Special Topics
224
,
2579
2583
(
2015
).
7.
R.
Iu
,
C.
Peng
,
W.
Wu
,
X.
Liang
, and
R.
Li
, “
Coherent beam combination of multiple beams based on near-field angle modulation
,”
Optics express
26
,
2045
2053
(
2018
).
8.
D.
Ursescu
,
G.
Cheriaux
,
P.
Audebert
,
M.
Kalashnikov
,
T.
Toncian
,
M.
Cerchez
,
M.
Kaluza
,
G.
Paulus
,
G.
Priebe
,
R.
Dabu
,
M. O.
Cernaianu
,
M.
Dinescu
,
T.
Asavei
,
I.
Dancus
,
L.
Neagu
,
A.
Boianu
,
C.
Hooker
,
C.
Barty
, and
C.
Haefner
, “
LASER BEAM DELIVERY AT ELI-NP
,”
ROMANIAN REPORTS IN PHYSICS
68
,
S11
S36
(
2016
).
9.
L.
Daniault
,
M.
Hanna
,
L.
Lombard
,
Y.
Zaouter
,
E.
Mottay
,
D.
Goular
,
P.
Bourdon
,
F.
Druon
, and
P.
Georges
, “
Impact of spectral phase mismatch on femtosecond coherent beam combining systems
,”
Optics Letters
37
,
650
652
(
2012
).
10.
Y.
Cui
,
Y.
Gao
, and
Z.
Zhao
, “
Spectral phase effects and control requirements of coherent beam combining for ultrashort ultrahigh intensity laser systems
,”
Applied Optics
55
,
10124
10132
(
2016
).
11.
H.
Yu
,
P.
Ma
,
X.
Wang
,
R.
Su
,
P.
Zhou
, and
J.
Chen
, “
Influence of temporal – spectral effects on ultrafast fiber coherent polarization beam combining system
,”
Laser Physics Letters
105301
,
105301
(8pp) (
2015
).
12.
V. E.
Leshchenko
,
V. A.
Vasiliev
,
N. L.
Kvashnin
, and
E. V.
Pestryakov
, “
Coherent combining of relativistic - intensity femtosecond laser pulses
,”
Applied Physics B
118
,
511
516
(
2015
).
13.
A.
Belafhal
and
L.
Dalil-Essakali
, “
Collins formula and propagation of Bessel-modulated Gaussian light beams through an ABCD optical system
,”
Optics Communications
177
,
181
188
(
2000
).
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