RT Journal Article T1 Dynamic population gratings in highly doped erbium fibers A1 Melle Hernández, Sonia A1 Gómez Calderón, Óscar A1 Zhuo, Zhong C. A1 Antón Revilla, Miguel Ángel A1 Carreño Sánchez, Fernando AB The efficiency of the dynamic population gratings recorded in highly doped erbium fibers has been studied. We find that the grating response increases with optical density, although the presence of erbium ion pairs in fibers with ion density of the order of 6:3 × 1025 m−3 degrades the grating efficiency. The experimental results have been reproduced including inhomogeneous upconversion processes in the nonlinear coupled-wave equations. PB OSA Publising SN 0740-3224 YR 2011 FD 2011-06-07 LK https://hdl.handle.net/20.500.14352/44626 UL https://hdl.handle.net/20.500.14352/44626 LA eng NO 1. S. Frisken, “Transient Bragg reflection gratings in erbium-doped fiber amplifiers,” Opt. Lett. 17, 1776–1778 (1992).2. B. Fischer, J. L. Zyskind, J. W. Sulhoff, and D. J. DiGiovanni, “Nonlinear wave mixing and induced gratings in erbium-doped fiber amplifiers,” Opt. Lett. 18, 2108–2110 (1993).3. M. Horowitz, R. Daisy, B. Fischer, and J. Zyskind, “Narrowlinewidth, single-mode erbium-doped fibre laser with intracavity wave mixing in saturable absorber,” Electron. Lett. 30, 648–649 (1994).4. S. A. Havstad, B. Fischer, A. E. Willner, and M. G. Wickham, “Loop-mirror filters based on saturable-gain or -absorber gratings,” Opt. Lett. 24, 1466–1468 (1999).5. S. Stepanov, E. Hernández, and M. Plata, “Two-wave mixing by means of dynamic Bragg gratings recorded by saturation of absorption in erbium-doped fibers,” Opt. Lett. 29, 1327–1329 (2004).6. S. Stepanov, “Dynamic population gratings in rare-earth-doped optical fibres,” J. Phys. D 41, 224002 (2008).7. S. Stepanov and E. Hernández, “Observation of spatial migration of excitation in Er-doped optical fibers by means of a population grating technique,” Opt. Lett. 30, 1926–1928 (2005).8. S. Stepanov and E. Hernández, “Phase contribution to dynamic gratings recorded in Er-doped fiber with saturable absorption,” Opt. Commun. 271, 91–95 (2007).9. S. Stepanov, E. Hernández, and M. Plata, “Two-wave mixing of orthogonally polarized waves via anisotropic population gratings in erbium-doped optical fiber,” J. Opt. Soc. Am. B 22,1161–1166 (2005).10. D. García Casillas and S. Stepanov, “Sub-milliwatt submillisecond recording of population gratings in ytterbiumdoped optical fibers at 976 nm,” Opt. Commun. 284, 2202–2205 (2011).11. S. Stepanov and M. Plata, “Slow and fast light via two-wave mixing in erbium-doped fibers with saturable absorption,” Phys. Rev. A 80, 053830 (2009). 12. L. F. Shampine, M. W. Reichelt, and J. Kierzenka, “Solving boundary value problems for ordinary differential equations in MATLAB with BVP4C,” http://www.mathworks.com/bvp_tutorial.13. F. Sanchez, P. L. Boudec, P.-L. Francois, and G. Stephan, “Effects of ion pairs on the dynamics of erbium-doped fiber lasers,” Phys. Rev. A 48, 2220–2229 (1993).14. J. L. Wagener, P. F. Wysocki, M. J. F. Digonnet, H. J. Shaw, and D. J. DiGiovanni, “Effects of concentration and clusters in erbium-doped fiber lasers,” Opt. Lett. 18, 2014–2016 (1993).15. P. F. Wysocki, J. L. Wagener, M. J. F. Digonnet, and H. J. Shaw, “Evidence and modelling of paired ions and other loss mechanisms in erbium-doped silica fibers,” Proc. SPIE 1789, 66–79(1993).16. J. Li, K. Duan, Y. Wang, W. Zhao, J. Zhu, Y. Guo, and X. Lin, “Modeling and effects of ion pairs in high-concentration erbium-doped fiber lasers,” J. Mod. Opt. 55, 447–458 (2008).17. O. G. Calderón, S. Melle, F. Arrieta-Yáñez, M. A. Antón, and F. Carreño, “Effect of ion pairs in fast-light bandwidth in high concentration erbium-doped fibers,” J. Opt. Soc. Am. B 25,C55–C60 (2008). NO © 2011 Optical Society of America. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modifications of the content of this paper are prohibited. NO Ministerio de Ciencia e Innovación de España (MICINN) NO Universidad Complutense de Madrid (España) NO Banco Santander Central Hispano (BSCH) (España) DS Docta Complutense RD 17 ago 2024