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

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)

An introduction to self-similarity in physics

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 1945. Proc. R. Soc. Lond. A 201, 175–186 (1950).

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

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

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

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

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).

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)

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.

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)

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)

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).

Parabolic pulses or optical similariton

Parabolic pulses or optical similariton

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)

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).

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

Fiber amplifiers based on optical similariton www.Thorlabs.com

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).

Similariton based fiber laser

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

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

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