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The numerical realization of a model of interaction of ultrashort laser pulses with solid

Wednesday (24.06.2020)
13:19 - 13:22 Room 1
Part of:
- Poster Periodic microstructuring of metal moulds using direct laser interference patterning for nanoimprint replication 1 Dr. Marcos Soldera
- Poster Comparison of structural colors achieved by laser induced periodic surface structures and direct laser interference patterning 1 Dr. Marcos Soldera
- Poster *student* Wetting properties of the aluminium surface structures fabricated using Direct Laser Interference Patterning with picosecond and femtosecond pulses 1 Dipl.-Ing. Stephan Milles
- Poster The numerical realization of a model of interaction of ultrashort laser pulses with solid 1 Prof. Vladimir Zhukov
- Poster On the problem of the initial conditions for tightly-focused ultrashort laser pulses in the modeling of laser beam propagation in transparent solids 1 Prof. Vladimir Zhukov
- Poster Innovative polymer coating systems – applied by laser sintering technique 1 Dr. Anna Buling
- Poster Tangential laser turning of fused silica usin ultra-short laser pulses 1 Julian Zettl
- Poster Process optimization of Direct Laser Interference Patterning 1 Dr. Bogdan Voisiat
- Poster Dynamic aberration correction via spatial light modulator (SLM) for femtosecond direct laser writing 1 Gabrielius Kontenis
- Poster Modification of metal nanoparticles via femtosecond laser pulses and their application for SERS 1 Dr. Asta Tamuleviciene
- Poster Ultraviolet and Infrared Femtosecond Laser Irradiation of Thermoplastics PET and PA66 1 Dr. Xxx Sedao
- Poster High pulse energy femtosecond laser machining station for the interference and parallel processing 1 Dr. Simonas Indrisiunas
- Poster Laser material processing with a multi-beam setup based on Excited State Absorption 1 Sebastian Engel
- Poster GO-neutral red nanocomposite reduction by pulsed laser irradiation 1 Dr. Romualdas Trusovas
- Poster *student* Numerical simulation of energy relaxation in Mo thin films exposed to femtosecond laser pulse 1 Kryštof Hlinomaz
- Poster Modification of medical-grade poly(L-lactide) using femtosecond laser filamentation 1 Dr. Bogusz Stepak
Session Chair

Session PS: Poster Session 02
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Topic PS: Poster Session

The numerical realization of a model of interaction of ultrashort laser pulses with solid

Vladimir Zhukov, Mikhail Fedoruk

The numerical modeling is widely used in laser-matter interaction. The importance of the modeling connected with large number of physical processes involving in the interaction, serious difficulties in diagnostic in real experiments, necessarily to optimize technologies. The mostly adequate models of laser-matter interaction are based on the nonlinear Maxwell equations supplemented by equations of motion for conductive zone electrons (free electrons). In many cases, it is necessary to solve 2-D or 3-D, time dependent problems. Respectively, an effective numerical solver is required. In the report, the finite-difference scheme for such a model is presented. The main numerical difficulty in the solution of the discussed problems connected with a presence of dense plasma. In contrast to a thin, for example, fusion or cosmic plasma the simple addition of plasma motion equations to a solver for Maxwell eq.-s face difficulties of accuracy and numerical stability of the scheme. To overcome this problems the implicit scheme with second order of the approximation of the terms with electric current in Maxwell eq.-s and plasma motion eq.-s is suggested. The Maxwell and motion eq.-s should be solved together. Another difficulties connected with calculation of Kerr effect. To calculate Kerr term very often iterations are used. Our calculations show, that this is not necessary. It is enough to take the squared modulus of electric field on the previous time step. This decreases the calculation costs several times. Others features of the code are discussed in the report also.

The scheme was developed for the transparent materials (fused silica) [1]. Many interesting problems have been solved [2], [3]. However, the scheme can be applied to semiconductors or metals also.

This work was supported by the Ministry of Education and Science of the Russian Federation, project no.


[1] V. P. Zhukov and M. P. Fedoruk, Numerically Implemented Impact of a Femtosecond Laser Pulse on Glass in the Approximation of Nonlinear Maxwell Equations, Mathematical Models and Computer Simulations, vol. 12, pp. 77-89, (2020).

[2] V.P. Zhukov, A.M. Rubenchik, M.P. Fedoruk, N.M. Bulgakova, JOSA B, vol. 34, issue 2, pp. 463-471, (2017).

[3] V.P. Zhukov, S. Akturk, N.M. Bulgakova, JOSA B, vol. 36, Issue 6, pp. 1556-1564, (2019).

Prof. Vladimir Zhukov
Czech Academy of Sciences
Additional Authors:
  • Prof. Mikhail Fedoruk
    Novosibirsk State University


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