The numerical realization of a model of interaction of ultrashort laser pulses with solidWednesday (24.06.2020) 13:19 - 13:22 Room 1
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) . Many interesting problems have been solved , . 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.
 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).
 V.P. Zhukov, A.M. Rubenchik, M.P. Fedoruk, N.M. Bulgakova, JOSA B, vol. 34, issue 2, pp. 463-471, (2017).
 V.P. Zhukov, S. Akturk, N.M. Bulgakova, JOSA B, vol. 36, Issue 6, pp. 1556-1564, (2019).
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