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Article information
2017 , Volume 22, ¹ 6, p.23-34
Efremov S.A., Shtyrina O.V., Medvedev S.B.
Iterative numerical algorithm for the boundary problem for the signal and pump evolution inside the optical gain media
A modern fiber laser is a complex system with a large number of parameters, so the computational process becomes more complex and the existing methods make it very expensive in terms of computational time and resources. The energy balance inside the laser cavity can be described by the system of balance equations. So due to the fact that the boundary conditions of the original boundary problem do not match the experimental data, there is a necessity for a formulation of the boundary-value problem for the given system of equations in accordance with available laser configuration. The main goal of the present paper is to make an attempt to simplify the original system of balance equations for developing more efficient numerical algorithm. Here both numerical and analytical methods were used. The iterative methods coupled with the finite-difference method were applied for computations. The following main results were obtained: the effective numerical iterative method was developed for two resonator types, namely, linear and circular; based on constructional features of the circular and linear resonator types the correct boundary value problem for the system of balance equations was posed for which experimental data can easily be applied; the new algorithm was tailored for the formulated boundary value problem for both resonator types. In present work it is showed that the implementation of analytical methods leads to significant simplification of computational process in some cases. While there are problems, which need to be solved as fast as it is possible, such simplification would be extremely useful.
[full text]
Keywords: fiber laser, active media, gain, pump
Author(s):
Efremov Semyon Andreevich
Position: engineer
Office: Novosibirsk State University
Address: 630090, Russia, Novosibirsk, Pirogova st.2
E-mail: efremov.math@gmail.com
Shtyrina Olga Vladimirovna
PhD.
Position: Research Scientist
Office: Institute of Computational Technologies SB RAS
Address: 633190, Russia, Novosibirsk, Larentiev aven. 6
Phone Office: (3832) 309772
E-mail: olya.shtyrina@gmail.com
SPIN-code: 7427-5210Medvedev Sergey Borisovich
Dr.
Position: Leading research officer
Office: Inctitute of Computational Technologies SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Lavrentyev ave., 6
Phone Office: (383) 330-73-73
E-mail: serbormed@gmail.com
SPIN-code: 2140-1726 References:
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Bibliography link:
Efremov S.A., Shtyrina O.V., Medvedev S.B. Iterative numerical algorithm for the boundary problem for the signal and pump evolution inside the optical gain media // Computational technologies. 2017. V. 22. ¹ 6. P. 23-34
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