OSA's Digital Library

Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 3 — Feb. 11, 2013
  • pp: 2606–2623

Steady-periodic method for modeling mode instability in fiber amplifiers

Arlee V. Smith and Jesse J. Smith  »View Author Affiliations


Optics Express, Vol. 21, Issue 3, pp. 2606-2623 (2013)
http://dx.doi.org/10.1364/OE.21.002606


View Full Text Article

Enhanced HTML    Acrobat PDF (1599 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We present a detailed description of the methods used in our model of mode instability in high-power, rare earth-doped, large-mode-area fiber amplifiers. Our model assumes steady-periodic behavior, so it is appropriate to operation after turn on transients have dissipated. It can be adapted to transient cases as well. We describe our algorithm, which includes propagation of the signal field by fast-Fourier transforms, steady-state solutions of the laser gain equations, and two methods of solving the time-dependent heat equation: alternating-direction-implicit integration, and the Green’s function method for steady-periodic heating.

© 2013 OSA

OCIS Codes
(060.2320) Fiber optics and optical communications : Fiber optics amplifiers and oscillators
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers
(140.6810) Lasers and laser optics : Thermal effects
(190.2640) Nonlinear optics : Stimulated scattering, modulation, etc.

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: November 22, 2012
Revised Manuscript: January 16, 2013
Manuscript Accepted: January 17, 2013
Published: January 28, 2013

Citation
Arlee V. Smith and Jesse J. Smith, "Steady-periodic method for modeling mode instability in fiber amplifiers," Opt. Express 21, 2606-2623 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-3-2606


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. A. V. Smith and J. J. Smith, “Mode instability in high power fiber amplifiers,” Opt. Express19, 10180–10192 (2011). [CrossRef] [PubMed]
  2. A. V. Smith and J. J. Smith, “Influence of pump and seed modulation on the mode instability thresholds of fiber amplifiers,” Opt. Express20, 24545–24558 (2012). [CrossRef] [PubMed]
  3. H.-J. Otto, F. Stutzki, F. Jansen, T. Eidam, C. Jauregui, J. Limpert, and A. Tünnermann, “Temporal dynamics of mode instabilities in high-power fiber lasers and amplifiers,” Opt. Express20, 15710–15722 (2012). [CrossRef] [PubMed]
  4. K. R. Hansen, T. T. Alkeskjold, J. Broeng, and J. Laegsgaard, “Thermally induced mode coupling in rare-earth doped fiber amplifiers,” Opt. Lett.37, 2382–2384 (2012). [CrossRef] [PubMed]
  5. B. Ward, C. Robin, and I. Dajani, “Origin of thermal modal instabilities in large mode area fiber amplifiers,” Opt. Express20, 11407–11422 (2012). [CrossRef] [PubMed]
  6. C. Jauregui, T. Eidam, H.-J. Otto, F. Stutzki, F. Jansen, J. Limpert, and A. Tünnermann, “Physical origin of mode instabilities in high-power fiber laser systems,” Opt. Express20, 12912–12925 (2012). [CrossRef] [PubMed]
  7. M. D. Feit and J. A. Fleck, “Computation of mode properties in optical fiber waveguides by a propagating beam method,” Appl. Opt.19, 1154–1164 (1980). [CrossRef] [PubMed]
  8. M. D. Feit and J. A. Fleck, “Computation of mode eigenfunctions in graded-index optical fibers by the propagating beam method,” Appl. Opt.19, 2240–2246 (1980). [CrossRef] [PubMed]
  9. G. P. Agrawal, Nonlinear fiber optics, second ed. (Academic Press, 1995).
  10. D. Marcuse, Theory of dielectric optical waveguides, 2nd ed. (Academic Press, 1991).
  11. D. Marcuse, “Curvature loss formula for optical fibers,” J. Opt. Soc. Am.66, 216–220 (1976). [CrossRef]
  12. K. D. Cole, “Steady-periodic Green’s functions and thermal-measurement applications in rectangular coordinates,” J. Heat Trans.128, 706–716 (2006); DOI: . [CrossRef]
  13. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C, 2nd ed. (Cambridge Univ. Press, 1992).
  14. P. W. Milonni, The quantum vacuum: an introduction to quantum electronics (Academic Press, 1994).
  15. M. Frigo and S. G. Johnson, “FFTW Home Page,” http://www.fftw.org/ .

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited