Formula for temperature distribution in multi-layer optical fibres for high-power fibre lasers

Journal title

Opto-Electronics Review








Grábner, Martin : Department of Fiber Lasers and Nonlinear Optics, Institute of Photonics and Electronics, Czech Academy of Sciences, 1014/57 Chaberská St., 18251 Praha 8, Czech Republic ; Peterka, Pavel : Department of Fiber Lasers and Nonlinear Optics, Institute of Photonics and Electronics, Czech Academy of Sciences, 1014/57 Chaberská St., 18251 Praha 8, Czech Republic ; Honzátko, Pavel : Department of Fiber Lasers and Nonlinear Optics, Institute of Photonics and Electronics, Czech Academy of Sciences, 1014/57 Chaberská St., 18251 Praha 8, Czech Republic



high-power fibre lasers ; active optical fibres ; temperature distribution ; heat transfer

Divisions of PAS

Nauki Techniczne




Polish Academy of Sciences (under the auspices of the Committee on Electronics and Telecommunication) and Association of Polish Electrical Engineers in cooperation with Military University of Technology


  1. Zervas, M. N. & Codemard, C. . High power fiber lasers: A review. IEEE J. Sel. Topics Quantum Electron. 20, 219–241 (2014).
  2. Davis, M. K., Digonnet, M. J. F. & Pantell, R. H. Thermal effects in doped fibers. J. Light. Technol. 16, 1013 (1998).
  3. Brown, D. C. & Hoffman, H. J. Thermal, stress, and thermo-optic effects in high average power double-clad silica fiber lasers. IEEE J. Quantum Electron. 37, 207–217 (2001).
  4. Limpert, J. et al. Thermo-optical properties of air-clad photonic crystal fiber lasers in high power operation. Opt. Express 11, 2982–2990 (2003).
  5. Wang, Y., Xu, Ch.-Q. & Po, H. Thermal effects in kilowatt fiber lasers. IEEE Photonics Technol. Lett. 16, 63–65 (2004).
  6. Zintzen, B., Langer, T., Geiger, J., Hoffmann, D. & Loosen, P. Heat transport in solid and air-clad fibers for high-power fiber lasers. Opt. Express 15, 16787–16793 (2007).
  7. Lapointe, M.-A., Chatigny, S., Piché, M., Cain-Skaff, M. & Maran, J.-N. Thermal effects in high-power CW fiber lasers. in Fiber Lasers VI: Technology, Systems, and Applications, Proc. SPIE 7195, 430–440 (2009).
  8. Liu, T., Yang, Z. M. & Xu, S. H. Analytical investigation on transient thermal effects in pulse end-pumped short-length fiber laser. Opt. Express 17, 12875–12890 (2009).
  9. Sabaeian, M., Nadgaran, H., Sario, M. D., Mescia, L. & Prudenzano, F. Thermal effects on double clad octagonal Yb:glass fiber laser. Opt. Mater. 31, 1300–1305 (2009).
  10. Ashoori, V. & Malakzadeh, A. Explicit exact three-dimensional analytical temperature distribution in passively and actively cooled high-power fibre lasers. J. Phys. D. 44, 355103 (2011).
  11. Fan, Y. et al. Thermal effects in kilowatt all-fiber MOPA. Opt. Express 19, 15162–15172 (2011).
  12. Fan, Y. et al. Efficient heat transfer in high-power fiber lasers. Chin. Opt. Lett. 10, 111401–111401 (2012).
  13. Huang, C. et al. A versatile model for temperature-dependent effects in Tm-doped silica fiber lasers. J. Light. Technol. 32, 421–428 (2014).
  14. Mohammed, Z., Saghafifar, H. & Soltanolkotabi, M. An approximate analytical model for temperature and power distribution in high-power Yb-doped double-clad fiber lasers. Laser Phys. 24, 115107 (2014).
  15. Yang, J., Wang, Y., Tang, Y. & Xu, J. Influences of pump transitions on thermal effects of multi-kilowatt thulium-doped fiber lasers. arXiv preprint arXiv:1503.07256 (2015).
  16. Daniel, J. M. O., Simakov, N., Hemming, A., Clarkson, W. A. & Haub, J. Metal clad active fibres for power scaling and thermal management at kW power levels. Opt. Express 24, 18592–18606 (2016).
  17. Karimi, M. Theoretical study of the thermal distribution in Yb-doped double-clad fiber laser by considering different heat sources. Prog. Electromagn. Res. C 88, 59–76 (2018).
  18. Lv, Y., Zheng, H. & Liu, S. Analytical thermal resistance model for high power double-clad fiber on rectangular plate with convective cooling at upper and lower surfaces. Opt. Commun. 419, 141–149 (2018).
  19. Mafi, A. Temperature distribution inside a double-cladding optical fiber laser or amplifier. J. Opt. Soc. Am. B 37, 1821–1828 (2020).
  20. Peterka, P. et al. Thulium-doped silica-based optical fibers for cladding-pumped fiber amplifiers, Opt. Mater. 30, 174–176 (2007).
  21. Peterka, P., Faure, B., Blanc, W., Karásek, M. & Dussardier, B. Theoretical modelling of S-band thulium-doped silica fibre amplifiers. Opt. Quantum Electron. 36, 201–212 (2004).
  22. Koška, P., Peterka, P. & Doya, V. Numerical modelling of pump absorption in coiled and twisted double-clad fibers. IEEE J. Sel. Topics Quantum Electron. 22, 55–62 (2016).
  23. Darwich, D. et al., 140 μm single-polarization passive fully aperiodic large-pitch fibers operating near 2 μm. Appl. Opt. 56, 9221–9224 (2017).
  24. Franczyk, M., Stępień, R., Filipkowski, A., Pysz, D. & Buczyński, R. Nanostructured core active fiber based on ytterbium doped phosphate glass. IEEE J. Light. Technol. 37, 5885–5891 (2019).
  25. Michalska, M., Brojek, W., Rybak, Z., Sznelewski, P., Mamajek, M. & Świderski, J. Highly stable, efficient Tm-doped fiber laser—a potential scalpel for low invasive surgery. Laser Phys. Lett. 13, 115101 (2016).
  26. Todorov, F. et al. Active optical fibers and components for fiber lasers emitting in the 2-µm spectral range. Materials 13, 5177 (2020).
  27. Engineering ToolBox. Air – thermal conductivity. (2009).
  28. Schreiber, T., Eberhardt, R., Limpert, J. & Tunnermann, A. High-power fiber lasers and amplifiers: fundamentals and enabling technologies to enter the upper limits. in Fiber lasers 7–61 (ed. Okhotnikov, O. G.) (Wiley-VCH, 2012).
  29. Limpert, J. et al. High-power rod-type photonic crystal fiber laser, Opt. Express 13, 1055–1058 (2005).
  30. Limpert, J. et al. Yb-doped large-pitch fibres: effective single-mode operation based on higher-order mode delocalisation. Light Sci. Appl. 1, e8 (2012).






DOI: 10.24425/opelre.2021.139482