Numerical study of the fundamental fiber soliton propagation
DOI:
https://doi.org/10.31349/RevMexFisE.17.191Keywords:
Nonlinear fiber optics, nonlinear Schrödinger equation, optical solitonAbstract
This work presents a numerical approach to understand the self-regeneration mechanism of the fundamental soliton propagation driven by the nonlinear Schr\"odinger equation in the nonlinear fiber formalism. This approach shows that the interplay between dispersion and nonlinearity results in a compensation effect in the phase and the instantaneous frequency representation of the pulse envelope. For a better understanding of this compensation process, 3D mapping propagation graphs are presented.References
V. Belinski, E. Verdaguer, {it Gravitational Solitons}(Cambridge University Press,Cambridge, UK, 2001)
A. Bishop, {it Nat.} {bf 330} (1987) 418.
Y. Tanaka, {it Phys. Rev. Lett.} {bf 88} (2001) 017002
T. Heimburg, A. D. Jackson {it PNAS} {bf 102}(28) (2005) 9790-9795
J.R. Apel,{it J. Phys. Oceanogr.} {bf 33} (2003) 2247-69
Y. S. Kivshar, G. Agrawal {it Optical Solitons: From Fibers to Photonic Crystals} (Academic Press, California, USA, 2003)
N. Akhmediev, A. Ankiewicz {it Dissipative Solitons: From Optics to Biology and Medicine, Lect. Notes Phys. 751} (Springer, Berlin Heidelberg, 2008)
G. Agrawal, {it Nonlinear Fiber optics} 6th edn (Academic Press,New York, 2019) pp. 1-55
N. Akhmediev, A. Ankiewicz 1997 {it Solitons nonlinear pulses and beams} (Chapman and Hall, London, 1997)
R. Paschotta 2010 {it Field guide to optical fiber technology} (SPIE Press, Bellingham, 2010) pp. 33-36.
N. Akhmediev, A. Ankiewicz, 2005 {it Dissipative solitons, Lect. Notes Phys. 661} (Springer, Berlin Heidelberg, 2005)
P. Grelu, N. Akhmediev, {it Nat. Photonics} {bf 6}(2) (2012) 84
E. Lucas, M. Karpov, H. Guo, M. L. Gorodetsky, T. J. Kippenberg {it Nat. Commun.} {bf 8} (2017) 736
P. Grelu {it Nonlinear optical cavity dynamics: from microresonators to fiber lasers} (Wiley-VCH, Weinheim, Germany, 2015).
A. Salupere, G. A. Maugin, J. Engelbrecht, J. Kalda {it Wave Motion} {bf 23}(1) (1996) 49-66
K. W. Chow, R. H. Grimshaw, E. Ding, {it Wave Motion} {bf 43}(2) (2005) 158-166
R. Atre, P. K. Panigrahi, G. S. Agarwal {it Phys. Rev. E} {bf 73} (2006) 056611.
X. Antoine, W. Bao, C. Besse, 2013 {it Comput. Phys. Commun.} {bf 184}(12) 2621-2633
E. A. Overman II, D. W. McLaughlin, A. R. Bishop {it Physica D} {bf 19}(1) (1986) 1-41.
N. K. Vitanov {it Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences} {bf 454}(1977) (1998) 2409-2423.
P. E. Powers and J. W. Haus {it Fundamentals of Nonlinear optics}, 2nd edn (CRC Press, Boca Raton, FL, 2017) pp. 367-369.
H. E. Ibarra-Villalon, O. Pottiez, A. G'omez-Vieyra, J. P. Lauterio-Cruz, Y. E. Rodriguez-Bracamontes, {it J. Opt.} {bf 22}(4) 043501
S. Boscolo, C. Finot {it Shaping light in nonlinear optical fiber} (John Wiley & Sons, Chichester, UK, 2017).
G. P. Agrawal, P. L. Baldeck, R. R. Alfano, {it Phys. Rev. A} {bf 39}(7) (1989) 3406.
J. M. Dudley, G. Genty, F. Dias, B. Kibler, N. Akhmediev, {it Opt. Express} {bf 17} (2009) 21497-21508
Y. S. Kivshar, {it IEEE J. Quantum Elect.} {bf 29}(1) (1993) 250-64.
B. Kibler, J. Fatome, C. Finot, G. Millot, F. Dias, G. Genty, N. Akhmediev, J. M. Dudley, {it Nat. Phys.} {bf 6}(10) (2010) 790.
J. M. Dudley, F. Dias, M. Erkintalo, G. Genty, {it Nat. Photonics} {bf 8} (2014) 755-764.
J. M. Dudley, A. C. Peacock, G. Millot {it Opt. Commun.} {it 193} (2001) 253-259.
R. S. Esfandiari, {it Numerical methods for engineers and scientists using MATLAB}, 2nd ed (CRC Press, Boca Raton, Fl, 2017) pp. 317-319
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