1 Modélisation de lamplificateur à fibre silice dopée thulium Pavel Peterka un post-doc du groupe Fibres optiques dopées LPMC fibres dopées thulium Bernard Dussardier Wilfried Blanc Basile Faure Fabrice Ubaldi Adel Ibrahim Gérard Monnom Séminaire LPMC 23 mai 2003 2 Doù je viens Prague Nice 3 Outline
Typical results of the model
Description of the model
Séminaire LPMC 23 mai 2003 4 Available bandwidth for WDM
Séminaire LPMC 23 mai 2003 5 Thulium reported emissions Séminaire LPMC 23 mai 2003 6 Upconversion pumping schemes Komukai95 T. Komukai et al. IEEE J. Quantum Electron. 31(11)1880-1888 1995 Aozasa01 S. Aozasa et al. El. Lett. 37(19) 1157-8 2001 Séminaire LPMC 23 mai 2003 7 Upconversion pumping schemes Komukai95 T. Komukai et al. IEEE J. Quantum Electron. 31(11)1880-1888 1995 Aozasa01 S. Aozasa et al. El. Lett. 37(19) 1157-8 2001 Roy01 F. Roy et al. OFC01 PD2-1-3 vol.4 2001 Cole01 B. Cole and M. L. Dennis OFC01 Anaheim USA 2001 TuQ3 Kasamatsu99 T. Kasamatsu et al. Opt. Lett. 24(23)1684-1686 1999 Kasamatsu01 T. Kasamatsu et al. IEEE Photonics Technol. Lett.13(5)433-435 2001 Roy01a F. Roy and A. Le Sauze and D. Vallart In Tech. Digest of OAA01 Stresa Italy July 1-4 paper PD4 2001 Gomes03 A. S. L. Gomes et al. IEEE Photonics Technol. Lett. 15(2)200-202 2003 Séminaire LPMC 23 mai 2003 8 Suitable reliable host material
Majority of the TDFA modules is based on fluoride Tm-doped fibres.
It results in difficulties with
Fusion splicing to standard telecommunication fibre
Robustness (hygroscopicity) and aging
Motivation to develop the silica based TDFA
Compatibility with standard telecommunication fibre.
Potentially easy fabrication.
Gain of 12 dB Cole01 Ohara02 and 20 dB Samson00 in silicate fibres were
Séminaire LPMC 23 mai 2003 9 TDF theoretical modelling overview
1991 800 nm amplifier Carter et al.
1995 rate equation model of Komukai et al. the upconversion pumped S-band TDFA behave as a quasi three-level amplifier. No amplifier performance simulation.
1999 numerical model of 1900 nm MMF laser by Jackson and King
2001 numerical model of S-band TDFA Lee et al. Used for optimization of specific case of single wavelength upconversion pumping.
2002-3 two other numerical models of S-band TDFA fluoride glass fibre host PhD thesis of Fabien Roy (Alcatel) and T. Kasamatsu (NEC Corp. Japan)
Aims of our numerical modelling
Predicting the S-band amplifier performance under different
Optimisation of the pump wavelengths powers fibre length ...
Séminaire LPMC 23 mai 2003 10 Standard outputs of the TDF model Séminaire LPMC 23 mai 2003 11 Standard outputs of the TDF model Longitudinal Position z m Séminaire LPMC 23 mai 2003 12 Standard outputs of the TDF model Longitudinal Position z m Séminaire LPMC 23 mai 2003 13 Standard outputs of the TDF model Séminaire LPMC 23 mai 2003 14 Standard outputs of the TDF model Séminaire LPMC 23 mai 2003 15 Energy level diagram of thulium Aij ... spontaneous emission i j Anrj ... nonradiative decay rate from the level j Wij ... stimulated absorption/emission i j Anr2 Anr4 are very large N2 N4 0 4 rate equations for N0 N1 N3 N5 while Ntot Ni Séminaire LPMC 23 mai 2003 16 Propagation of lightwaves in the fibre Analogical differential equations hold for the powers P -() propagating in negative direction. The fourth-order Runge-Kutta-Gill method is used to integrate the equations. Since some boundary conditions are not known in the beginning of integration an effective iterative algorithm was used. Séminaire LPMC 23 mai 2003 17 Input parameters Tm spectroscopy cross section shapes Jackson99 Roy02 fluorescence lifetimes Jackson99 Cole01 Faure02 Other unknown spectroscopic parameters are estimated using Judd-Ofelt analysis (branching ratios radiative lifetimes).
Séminaire LPMC 23 mai 2003 18 Input parameters core profile Séminaire LPMC 23 mai 2003 19 Optimization of the TDF length lpump1064 nm t341 ms Séminaire LPMC 23 mai 2003 20 Optimization of the pump wavelength Séminaire LPMC 23 mai 2003 21 Conclusions
Comprehensive spectrally and spatially resolved numerical model
of S-band TDFA was developed.
The model is general in terms of number of pumps their
wavelengths and the fibre type (e.g. silica ZBLAN).
WDM gain prediction.
Optimization of the fibre length and the pump wavelength.
Refining the input parameters (absorption measurement for the
Judd-Ofelt analysis and the fluorescence lifetime measurements).
Optimization of fibre waveguide parameters (fibre core radius
Séminaire LPMC 23 mai 2003 22 Institute of Radio Engineering and Electronics Academy of Sciences of the Czech Republic 23 Institute of Radio Engineering and Electronics Academy of Sciences of the Czech Republic
Waveguide Photonics Group
soliton (short-pulse high repetition rate) fibre lasers
fibre optic measurement (COST 265)
special optical fibres (rare-earth doped fibre twin-core fibres )
hybrid (EDFA and Raman) fibre amplifiers
oscillator at 1315 nm for 3 TW 1.2 kJ pulsed laser system Asterix
Other activities in Photonics
evanescent field fibre sensors
surface plasmon resonance sensors
integrated optics and photonic crystals
24 Modulation instability fibre laser The autocorrelation function (up) and the optical spectrum of the output pulse train The laser setup 25 (No Transcript) 26 Výzkum MOV v ÚRE AV CR Grantový projekt GACR 102/02/0779 Mikrostrukturn í vlákna typu kremen-vzduch metody jejich prípravy a charakterizace. (reitel Vlastimil Matejec) V soucasné dobe probíhají technologické experimenty zamerené na prípravu preforem MOV a jejich taení a na merení experimentálních MOV. 27 Laboratory of Active and Nonlinear Fibre Optics 28 Estimation of the multiphonon nonradiative decay rate in glasses according to Desurvires EDFAs book p. 223-224 29 Test of the model functionality The model of the thulium doped fibre was tested by its comparison with the model of the fibre laser in Fabry-Perot arrangement Jackson99. Fibre parameters Tm concentration. 3000 ppm fibre length 0.924 m core radius 10 mm sa(1064 nm) 1.26 x 10-26 m2 sa(1216 nm) 4.605 x 10-25 m2 Input/output laser characteristic. The laser threshold and the slope efficiency determination. WOWTNM Prague 2003 4-5 May 2003 30 Test of the model functionality Solid lines are the tested results and dashed lines are the results of Jackson99. Dotted line represents a threshold calculated using an analytical formula derived in Chen92. Relative errors are evaluated for the wavelength of maximum absorption i.e. 1216 nm. WOWTNM Prague 2003 4-5 May 2003
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