International Journal of Physics
ISSN (Print): 2333-4568 ISSN (Online): 2333-4576 Website: https://www.sciepub.com/journal/ijp Editor-in-chief: B.D. Indu
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International Journal of Physics. 2023, 11(1), 17-23
DOI: 10.12691/ijp-11-1-3
Open AccessArticle

From Pulsating to Rotating Dissipative Light Bullet

Aladji Kamagate1, 2, , Aliou Bamba3, 4 and Penetjiligue Adama Soro5

1Département de Mathématiques, Physique et Chimie, Université Péléforo Gon Coulibaly, Korhogo, Côte d’Ivoire

2Département numérique et mathématiques, Agence Nationale de la Recherche, Paris, France

3Direction de la Recherche et de l’Innovation Technologique, Ecole Supérieure Africaine des TIC, Abidjan, Côte d’Ivoire

4Department of Information Technology, Ghent University, Belgium

5UFR des Sciences des Structure de la Matière et de Technologie de l’Université Félix Houphouët Boigny, Abidjan, Côte d’Ivoire

Pub. Date: February 21, 2023

Cite this paper:
Aladji Kamagate, Aliou Bamba and Penetjiligue Adama Soro. From Pulsating to Rotating Dissipative Light Bullet. International Journal of Physics. 2023; 11(1):17-23. doi: 10.12691/ijp-11-1-3

Abstract

Dissipative light bullets can be considered as (3+1) D spatiotemporal dynamics of stable optical solitons in the three spatial dimensions, in addition to localization in the temporal domain. They share many common characteristics with other multi-dimensional phenomena and their study remain an open challenge. Here, we report semi-rotating and rotating light bullets from pulsating dynamic when a suitable ansatz function is chosen. Using the complex cubic-quintic Ginzburg-Landau equation model and thanks to a variational method known as the collective variable approach, we can observe stable pulsating light bullet. The influence of the initial conditions leading to an asymmetric rotating light bullet in the transverse plane, are investigated.

Keywords:
pulsating light bullet rotating light bullet complex Cubic-Quintic Ginzburg-Landau Equation dissipative soliton collective variable approach spatial-Temporal Pulse semi-rotating light bullet

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References:

[1]  N. Akhmediev, J. M. Soto-Crespo, and P. Grelu, Chaos 17, 037112 (2007).
 
[2]  N. Akhmediev and A. Ankiewicz, Dissipative Solitons (Springer, Heidelberg, 2005).
 
[3]  G. Nicolis and I. Prigogine, Self Organization in Nonequilibrium Systems—From dissipative structures to order through fluctuations (Wiley, New York, 1977).
 
[4]  N. Akhmediev and A. Ankiewicz, Dissipative Solitons: From Optics to Biology and Medicine in Springer Lecture Notes in Physics (Springer, Heidelberg, 2008), Vol. 751.
 
[5]  G. Nicolis and I. Prigogine, Self Organization in Nonequilibrium Systems—From Dissipative Structures to Order Through Fluctuations (Wiley, New York, 1977).
 
[6]  Mosk, A. P., Lagendijk, A., Lerosey, G. Fink, M. Controlling waves in space and time for imaging and focusing in complex media. Nat. Photon 6, 283-292 (2012).
 
[7]  Wright, L. G., Renninger, W. H., Christodoulides, D. N. Wise, F.W. Spatiotemporal dynamics of multimode optical solitons. Opt. Express 23, 3492-3506 (2015).
 
[8]  J. M. Soto-Crespo, P. Grelu, and N. Akhmediev, Opt. Express 14, 4013 (2006).
 
[9]  P. Grelu, J. M. Soto-Crespo, and N. Akhmediev, Opt. Express 13, 9352 (2005).
 
[10]  William H. Renninger and Frank W. Wise, Spatiotemporal soliton laser, Optica 1, 101-104 (2014).
 
[11]  Wright, L. G. et al. Mechanisms of spatiotemporal mode-locking. Nat. Phys 16, 565-570 (2020).
 
[12]  Logan G. Wright, William H. Renninger, Demetri N. Christodoulides, and Frank W. Wise, Nonlinear multimode photonics: nonlinear optics with many degrees of freedom, Optica 9, 824-841 (2022).
 
[13]  Yong Zhang, Yan Sheng, Shining Zhu, Min Xiao, and Wieslaw Krolikowski, Nonlinear photonic crystals: from 2D to 3D, Optica 8, 372-381 (2021).
 
[14]  Yuankai Guo, Xiaoxiao Wen, Wei Lin, Wenlong Wang, Xiaoming Wei, Zhongmin Yang. Real-time multispeckle spectral-temporal measurement unveils the complexity of spatiotemporal solitons. Nature Communications 12:1, 67. (2021).
 
[15]  Qin, H., Xiao, X., Wang, P. Yang, C. Observation of soliton molecules in a spatiotemporal mode-locked multimode fiber laser. Opt. Lett. 43, 1982-1985 (2018).
 
[16]  Wu, H. et al. Pulses with switchable wavelengths and hysteresis in an all-fiber spatio-temporal mode-locked laser. Appl. Phys. Express 13, 022008 (2020).
 
[17]  A. Kamagate Propagation des solitons spatio-temporels dans des milieux dissipatifs, (Éditions universitaires européennes, ISBN-10: 3841726658, 2018).
 
[18]  Aranson, I. S. and Kramer, L. “The world of the complex Ginzburg-Landau equation”, Rev. Mod. Phys. 74, 99. February (2002).
 
[19]  J. M. Soto-Crespo, N. Akhmediev, and V. V. Afanasjev, J. Opt. Soc. Am. B 13, 1439 (1996).
 
[20]  Akhmediev, N., Soto-Crespo, J. M. and Town, G. “Pulsating solitons, chaotic solitons, period doubling, and pulse coexistence in mode-locked lasers: Complex Ginzburg-Landau equation approach,” Phys. Rev. E, 63, 056602. April (2001).
 
[21]  A. Kamagate, Ph. Grelu, P. Tchofo-Dinda, J. M. Soto-Crespo and N. Akhmediev, PHYSICAL REVIEW E 79, 026609 (2009).
 
[22]  Asseu, O., Diby, A., Yoboué, P. and Kamagaté, A. (2016) Spatio-Temporal Pulsating Dissipative Solitons through Collective Variable Methods. Journal of Applied Mathematics and Physics, 4, 1032-1041.
 
[23]  A. I. Maimistov, JETP 77, 727 (1993).
 
[24]  E. N. Tsoy, A. Ankiewicz, and N. Akhmediev, Phys. Rev. E 73, 036621 (2006).
 
[25]  A. Kamagaté, S. Chouli, and P. C. Bakala, “Bifurcation and Stability Analysis of Pulsating Solitons.” International Journal of Physics, vol. 6, no. 5 (2018).
 
[26]  Tchofo-Dinda, P., Moubissi, A.B. and Nakkeeran, K. “Collective Variable Theory for Optical Solitons in Fibers,” Physical Review E, 64. (2001).
 
[27]  Kamagaté, A. and Moubissi, A.-B. Pulsating Solitons in the Two-Dimensional Complex Swift-Hohenberg Equation. Journal of Applied Mathematics and Physics, 6, 2127-2141 (2018).
 
[28]  R. Boesch, P. Stancioff, and C. R. Willis, Phys. Rev. B 38, 6713 (1988).
 
[29]  Kamagaté, A., Tehini, R., Bamba, A. Higher-order Spectral Filtering Effects on the Evolution of Stationary Dissipative Solitons. Physical Science International Journal, 22(4), 1-11 (2019).
 
[30]  Kamagaté, A., Konaté, A., Soro, P.A. and Asseu, O. Effects of Dissipative Terms on Dissipative Soliton Resonance Curve. Optics and Photonics Journal , 7, 57-66 (2017).
 
[31]  Aladji Kamagaté, Penetjiligué Adama Soro and Adama Konaté. Dissipative Soliton Resonance Curve under Influence of Nonlinear Gain. IOSR Journal of Applied Physics (IOSR-JAP), vol. 9, no. 5, 2017, pp. 59-65.
 
[32]  Hong-Jie Chen, Yan-Jie Tan, Jin-Gan Long, Wei-Cheng Chen, Wei-Yi Hong, Hu Cui, Ai-Ping Luo, Zhi-Chao Luo, and Wen-Cheng Xu, “Dynamical diversity of pulsating solitons in a fiber laser,” Opt. Express 27, 28507-28522 (2019).
 
[33]  Jie Chen, Xin Zhao, Ting Li, Jianjun Yang, Jiansheng Liu, and Zheng Zheng, “Generation and observation of ultrafast spectro-temporal dynamics of different pulsating solitons from a fiber laser,” Opt. Express 28, 14127-14133 (2020).