Skip to main content
Log in

Mathematical Model of Generation and Amplification of Radiation in a Multistage Laser

  • Published:
Mathematical Models and Computer Simulations Aims and scope

Abstract

The paper proposes a mathematical model of a multistage laser based on three- and four-level active media in the plane-wave approximation. The model can be used to analyze the generation of radiation in a laser source in the presence of interstage couplings taking into account the actual quality of the optical path elements. The calculation of the pulse parameters for YAG:Nd and YSGG:Cr:Nd laser oscillators depending on the pump power is presented. The obtained results can be used to solve the problems of complex laser optimization and determine the requirements for interstage decoupling nodes.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.

Similar content being viewed by others

REFERENCES

  1. R. Kapoor, P. K. Mukhopadhyay, and J. George, “A new approach to compute overlap efficiency in axially punped solid state lasers,” Opt. Express 5 (6), 125–133 (1999).

    Article  Google Scholar 

  2. J. K. Jabczynski, J. Kwiatkowski, and W. Zendzian, “Modeling of beam width in passively Q-switched end-pumped lasers,” Opt. Express 11, 552–559 (2003).

    Article  Google Scholar 

  3. N. P. Belashenkov, S. V. Gagarskiy, M. Z. Smirnov, P. N. Fimin, and V. Yu. Khramov, “Diffraction model of a quasi-continuous solid-state laser with longitudinal diode pumping and active Q-switching,” Nauch.-Tekh. Vestn. Inform. Tekhnol., Mekh. Opt., No. 16, 101–107 (2004).

  4. A. K. Potemkin, E. V. Katin, A. V. Kirsanov, G. A. Luchinin, A. N. Mal’shakov, M. A. Mart’yanov, A. Z. Matveev, O. V. Palashov, E. A. Khazanov, and A. A. Shaikin, “Compact neodymium phosphate glass laser emitting 100-J, 100-GW pulses for pumping a parametric amplifier of chirped pulses,” Sov. J. Quantum Electron. 35, 302–310 (2005).

    Article  Google Scholar 

  5. B. Denker and E. Shklovsky, Handbook of Solid-State Lasers Materials, Systems and Applications, Vol. 35 of Woodhead Publishing Series in Electronic and Optical Materials (Woodhead, UK, 2013).

  6. J. Eichler and H. J. Eichler, Laser: Bauformen, Strahlführung, Anwendungen (Springer, Berlin, Heidelberg, 1990); 7th ed. (2010).

  7. A. A. Mak, L. N. Soms, V. A. Fomzel, and V. E. Yashin, Neodymium Glass Lasers (Nauka, Moscow, 1990) [in Russian].

    Google Scholar 

  8. S. G. Grechin, E. V. Raevsky, V. N. Rojdestvin, and E. A. Sharandin, “The kinetics of laser processes in the multi-cascade optical schemes,” Proc. SPIE 3682, 163–169 (1998).

    Article  Google Scholar 

  9. V. V. Kiyko, V. A. Kondratyev, S. V. Gagarsky, E. N. Ofitserov, A. G. Suzdaltsev, A. N. Sergeev, and V. I. Kislov, “The control of energy, temporal and spatial characteristics a microchip laser with active output mirror,” Springer Ser. Opt. Sci. 193, 71–84 (2015).

    Article  Google Scholar 

  10. S. G. Grechin, V. V. Koshechkina, A. I. Logovier, and E. A. Sharandin, Design of Pulsed Solid-State Laser Emitters (MGTU im. N. E. Baumana, Moscow, 2006) [in Russian].

  11. Guangzhi Zhu, Xiao Zhu, Changhong Zhu, and Jianli Shang, “Optical model and optimal output coupler for a continuous wave Yb:YAG thin-disk laser with multiple-disk configuration,” Appl. Opt. 51, 6411–6420 (2012).

    Article  Google Scholar 

  12. A. L. Mikaelyan, M. L. Ter-Mikaelyan, and Yu. G. Turkov, Optical Solid State Generators (Sov. Radio, Moscow, 1967) [in Russian].

    Google Scholar 

  13. V. V. Laptev, V. A. Mikhailov, D. A. Nikolaev, S. K. Pak, E. V. Raevskii, A. P. Fefelov, S. I. Khomenko, and I. A. Shcherbakov, “Single-pulse YSGG:Cr:Nd laser with a 4% efficiency,” Sov. J. Quantum Electron. 21, 525–527 (1991).

    Article  Google Scholar 

Download references

ACKNOWLEDGMENTS

This work was supported by the Russian Foundation for Basic Research, project nos. 16-02-00488а and 16-08-00618а.

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to E. A. Sharandin or V. O. Gladyshev.

Additional information

Translated by O. Pismenov

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sharandin, E.A., Gladyshev, V.O. Mathematical Model of Generation and Amplification of Radiation in a Multistage Laser. Math Models Comput Simul 11, 277–286 (2019). https://doi.org/10.1134/S2070048219020169

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S2070048219020169

Keywords:

Navigation