Abstract

We present a coupled-mode model of transverse mode instability in high-power fiber amplifiers, which takes the effect of gain saturation into account. The model provides simple semi-analytical formulas for the mode instability threshold, which are valid also for highly saturated amplifiers. The model is compared to recently published detailed numerical simulations of mode instability, and we find reasonably good agreement with our simplified coupled-mode model.

© 2014 OSA

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. T. Eidam, C. Wirth, C. jauregui, F. Stutzki, F. Jansen, H.-J. Otto, O. Schmidt, T. Schreiber, J. Limpert, A. Tünnermann, “Experimental observations of the threshold-like onset of mode instabilities in high power fiber amplifiers,” Opt. Express 19, 13218–13224 (2011).
    [CrossRef] [PubMed]
  2. F. Stutzki, H.-J. Otto, F. Jansen, C. Gaida, C. Jauregui, J. Limpert, A. Tünnermann, “High-speed modal decomposition of mode instabilities in high-power fiber lasers,” Opt. Lett. 36, 4572–4574 (2011).
    [CrossRef] [PubMed]
  3. H.-J. Otto, F. Stutzki, F. Jansen, T. Eidam, C. Jauregui, J. Limpert, A. Tünnermann, “Temporal dynamics of mode instabilities in high-power fiber lasers and amplifiers,” Opt. Express 20, 15710–15722 (2012).
    [CrossRef] [PubMed]
  4. M. M. Johansen, M. Laurila, M. D. Maack, D. Noordegraaf, C. Jakobsen, T. T. Alkeskjold, J. Lægsgaard, “Frequency resolved transverse mode instability in rod fiber amplifiers,” Opt. Express 21, 21847–21856 (2013).
    [CrossRef] [PubMed]
  5. C. Jauregui, T. Eidam, J. Limpert, A. Tünnermann, “Impact of modal interference on the beam quality of high-power fiber amplifiers,” Opt. Express 19, 3258–3271 (2011).
    [CrossRef] [PubMed]
  6. A. V. Smith, J. J. Smith, “Mode instability in high power fiber amplifiers,” Opt. Express 19, 10180–10192 (2011).
    [CrossRef] [PubMed]
  7. A. V. Smith, J. J. Smith, “Influence of pump and seed modulation on the mode instability thresholds of fiber amplifiers,” Opt. Express 20, 24545–24558 (2012).
    [CrossRef] [PubMed]
  8. B. Ward, C. Robin, I. Dajani, “Origin of thermal modal instabilities in large mode area fiber amplifiers,” Opt. Express 20, 11407–11422 (2012).
    [CrossRef] [PubMed]
  9. B. Ward, “Modeling of transient modal instability in fiber amplifiers,” Opt. Express 21, 12053–12067 (2013).
    [CrossRef] [PubMed]
  10. S. Naderi, I. Dajani, T. Madden, C. Robin, “Investigations of modal instabilities in fiber amplifiers through detailed numerical simulations,” Opt. Express 21, 16111–16129 (2013).
    [CrossRef] [PubMed]
  11. K. R. Hansen, T. T. Alkeskjold, J. Broeng, J. Lægsgaard, “Thermally induced mode coupling in rare-earth doped fiber amplifiers,” Opt. Lett. 37, 2382–2384 (2012).
    [CrossRef] [PubMed]
  12. K. R. Hansen, T. T. Alkeskjold, J. Broeng, J. Lægsgaard, “Theoretical analysis of mode instability in high-power fiber amplifiers,” Opt. Express 21, 1944–1971 (2013).
    [CrossRef] [PubMed]
  13. A. V. Smith, J. J. Smith, “Increasing mode instability thresholds of fiber amplifiers by gain saturation,” Opt. Express 21, 15168–15182 (2013).
    [CrossRef] [PubMed]

2013

2012

2011

Alkeskjold, T. T.

Broeng, J.

Dajani, I.

Eidam, T.

Gaida, C.

Hansen, K. R.

Jakobsen, C.

Jansen, F.

Jauregui, C.

Johansen, M. M.

Lægsgaard, J.

Laurila, M.

Limpert, J.

Maack, M. D.

Madden, T.

Naderi, S.

Noordegraaf, D.

Otto, H.-J.

Robin, C.

Schmidt, O.

Schreiber, T.

Smith, A. V.

Smith, J. J.

Stutzki, F.

Tünnermann, A.

Ward, B.

Wirth, C.

Opt. Express

C. Jauregui, T. Eidam, J. Limpert, A. Tünnermann, “Impact of modal interference on the beam quality of high-power fiber amplifiers,” Opt. Express 19, 3258–3271 (2011).
[CrossRef] [PubMed]

A. V. Smith, J. J. Smith, “Mode instability in high power fiber amplifiers,” Opt. Express 19, 10180–10192 (2011).
[CrossRef] [PubMed]

T. Eidam, C. Wirth, C. jauregui, F. Stutzki, F. Jansen, H.-J. Otto, O. Schmidt, T. Schreiber, J. Limpert, A. Tünnermann, “Experimental observations of the threshold-like onset of mode instabilities in high power fiber amplifiers,” Opt. Express 19, 13218–13224 (2011).
[CrossRef] [PubMed]

H.-J. Otto, F. Stutzki, F. Jansen, T. Eidam, C. Jauregui, J. Limpert, A. Tünnermann, “Temporal dynamics of mode instabilities in high-power fiber lasers and amplifiers,” Opt. Express 20, 15710–15722 (2012).
[CrossRef] [PubMed]

A. V. Smith, J. J. Smith, “Influence of pump and seed modulation on the mode instability thresholds of fiber amplifiers,” Opt. Express 20, 24545–24558 (2012).
[CrossRef] [PubMed]

K. R. Hansen, T. T. Alkeskjold, J. Broeng, J. Lægsgaard, “Theoretical analysis of mode instability in high-power fiber amplifiers,” Opt. Express 21, 1944–1971 (2013).
[CrossRef] [PubMed]

B. Ward, “Modeling of transient modal instability in fiber amplifiers,” Opt. Express 21, 12053–12067 (2013).
[CrossRef] [PubMed]

A. V. Smith, J. J. Smith, “Increasing mode instability thresholds of fiber amplifiers by gain saturation,” Opt. Express 21, 15168–15182 (2013).
[CrossRef] [PubMed]

S. Naderi, I. Dajani, T. Madden, C. Robin, “Investigations of modal instabilities in fiber amplifiers through detailed numerical simulations,” Opt. Express 21, 16111–16129 (2013).
[CrossRef] [PubMed]

M. M. Johansen, M. Laurila, M. D. Maack, D. Noordegraaf, C. Jakobsen, T. T. Alkeskjold, J. Lægsgaard, “Frequency resolved transverse mode instability in rod fiber amplifiers,” Opt. Express 21, 21847–21856 (2013).
[CrossRef] [PubMed]

B. Ward, C. Robin, I. Dajani, “Origin of thermal modal instabilities in large mode area fiber amplifiers,” Opt. Express 20, 11407–11422 (2012).
[CrossRef] [PubMed]

Opt. Lett.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Metrics