1. Optical Similaritons and Self Similarity in Ultrafast Nonlinear Optics Behnam Abaie April 2016

2. An introduction to self-similarity in physics
Lord Rayleigh, The principle of similitude. Nature 95, 66–68 (1915)
Buckingham, E. The principle of similitude. Nature 96, 396–397 (1915)

3. An introduction to self-similarity in physics

4. An introduction to self-similarity in physics
Taylor, G. I. The formation of a blast wave by a very intense explosion. II: The atomic explosion of Proc. R. Soc. Lond. A 201, 175–186 (1950).

5. Self-similarity in nonlinear optics
Nonlinear dynamics of lasers
Nonlinear self-action and collapse processes
Stimulated Raman scattering
Fractal structure excitation in soliton-supporting systems
Spatial fractal pattern formation
Similariton based fiber amplifiers and lasers

6. Outline Fiber amplifiers based on optical similariton
Soliton – Similariton fiber laser

7. Fiber amplifiers
Attractions of Fibers for Ultrashort Pulse Amplification
High gain and high gain efficiency
Quite large gain bandwidth
High power conversion efficiency
High beam quality of the generated outputs

8. Ultrashort pulse propagation in fiber
Different combinations of GVD and SPM:
Bright solitary waves
Modulational instability
Dark solitary waves
Enhanced frequency chirping
Optical wave breaking

9. Ultrashort pulse propagation in fiber Anomalous dispersion
Soliton fission induced by stimulated Raman scattering
Dudley, J. M., Finot, C., Richardson, D. J. & Millot, G. Self-similarity in ultrafast nonlinear optics. Nature Phys. 3, 597–603 (2007).

10. Ultrashort pulse propagation in fiber Normal dispersion
Optical Wave Breaking
Rosenberg, C. J., Anderson, D., Desaix, M., Johannisson, P. & Lisak, M. Evolution of optical pulses towards wave breaking in highly nonlinear fibres. Opt. Commun. 273, 272–277 (2007)

11. Ultrashort pulse propagation in fiber Normal dispersion
D. Anderson, M. Desaix, M. Lisak, M.L. Quiroga-Teixeiro, Femtosecond optical shocks and wave breaking in fiber propagation, J. Opt. Soc. Am. B 10 (1993) 1185.

12. Parabolic pulses or optical similariton
Anderson, D., Desaix, M., Karlson, M., Lisak, M. & Quiroga-Teixeiro, M. L. Wave-breaking-free pulses in nonlinear optical fibers. J. Opt. Soc. Am. B 10, 1185–1190 (1993)

13. Parabolic pulses or optical similariton
Anderson, D., Desaix, M., Karlson, M., Lisak, M. & Quiroga-Teixeiro, M. L. Wave-breaking-free pulses in nonlinear optical fibers. J. Opt. Soc. Am. B 10, 1185–1190 (1993)

14. Parabolic pulses or optical similariton
Tamura, K. & Nakazawa, M. Pulse compression by nonlinear pulse evolution with reduced optical wave breaking in erbium-doped fiber amplifiers. Opt. Lett. 21, 68–70 (1996).

15. Parabolic pulses or optical similariton

16. Parabolic pulses or optical similariton

17. Fiber amplifiers based on optical similariton
Fermann, M. E., Kruglov, V. I., Thomsen, B. C., Dudley, J. M. & Harvey, J. D. Self-similar propagation and amplification of parabolic pulses in optical fibers. Phys. Rev. Lett. 84, 6010–6013 (2000)

18. Fiber amplifiers based on optical similariton
Dudley, J. M., Finot, C., Richardson, D. J. & Millot, G. Self-similarity in ultrafast nonlinear optics. Nature Phys. 3, 597–603 (2007).

19. Fiber amplifiers based on optical similariton
Billet, C., Dudley, J. M., Joly, N. & Knight, J. C., Opt. Express 13, 3236–3241 (2005).

20. Fiber amplifiers based on optical similariton

21. Fiber amplifiers based on optical similariton
Chirped Pulse Amplification (CPA)
Dudley, J. M., Finot, C., Richardson, D. J. & Millot, G. Self-similarity in ultrafast nonlinear optics. Nature Phys. 3, 597–603 (2007)
Billet, C., Dudley, J. M., Joly, N. & Knight, J. C. Intermediate asymptotic evolution and photonic bandgap fiber compression of optical similaritons around 1550 nm. Opt. Express 13, 3236–3241 (2005).

22. Similariton based fiber laser

23. Soliton – Similariton fiber laser
Oktem, B., Ülgüdür, C. & Ilday, F. Ö. Soliton – Similariton fiber laser, Nature Photon. 4, 307–311 (2010)

24. Soliton – Similariton fiber laser
Oktem, B., Ülgüdür, C. & Ilday, F. Ö. Soliton – Similariton fiber laser, Nature Photon. 4, 307–311 (2010)

25. Soliton – Similariton fiber laser
Oktem, B., Ülgüdür, C. & Ilday, F. Ö. Soliton – Similariton fiber laser, Nature Photon. 4, 307–311 (2010)