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Article information
2021 , Volume 26, ¹ 3, p.42-60
Zhukov V.P., Fedoruk M.P.
High efficient method for calculating the Straton Chu integral for problems of interaction of laser radiation with materials
The interaction of femtosecond laser pulses with materials is usually modelled within the approach of nonlinear Maxwell equations. The laser pulse in the calculations is initiated by specifying the conditions for the electric field at the boundary of the computational domain, which is located at a distance of 100–200 micron from the focus. The usually used Gaussian distribution for the radius and time in the boundary conditions are not applicable for such pulses. It is necessary to consider a real optic system, or a system, which can be realized. In the presented paper we address the situation in which the laser pulse is created by the reflection of parallel pulse from a parabolic mirror. To determine the field near the focus we use the Stratton – Chu integral (SCI), with fast oscillating sub-integral function. It makes very difficult to calculate SCI. In the presented paper a highly efficient method allows to overcome this difficulty. The main idea is that a change of variables is made in the integral, which, in the case of a short pulse being important for applications, allows calculating the integral over one of the variables once for all times. In addition, for this variable, the integrand is smooth and its calculation does not require large computational resources. The paper investigates the accuracy of calculating the SCI by the proposed method and demonstrates its high efficiency
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Keywords: Stratton Chu integral, integration of fast oscillating function, laser-matter interaction, parabolic mirror, femtosecond laser pulse, large aperture
doi: 10.25743/ICT.2021.26.3.004
Author(s):
Zhukov Vladimir Petrovich
Dr.
Position: Senior Research Scientist
Office: Federal Research Center for Information and Computational Technologies
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave., 6
Phone Office: (383) 330 97 72
E-mail: zuk@ict.nsc.ru
Fedoruk Mikhail Petrovich
Dr. , Academician RAS, Professor
Position: Chancellor
Office: Novosibirsk State University, Federal Research Center for Information and Computational Technologies
Address: 630090, Russia, Novosibirsk, str. Pirogova, 2
Phone Office: (3832) 349105
E-mail: mife@net.ict.nsc.ru
SPIN-code: 4929-8753 References:
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Bibliography link:
Zhukov V.P., Fedoruk M.P. High efficient method for calculating the Straton Chu integral for problems of interaction of laser radiation with materials // Computational technologies. 2021. V. 26. ¹ 3. P. 42-60
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