Novel Dynamics of a Vortex in Three-Dimensional Dissipative Media with an Umbrella-Shaped Potential
LIU Yun-Feng, LIU Bin** , HE Xing-Dao, LI Shu-Jing
Key Laboratory of Nondestructive Test (Ministry of Education), Nanchang Hangkong University, Nanchang 330063
Abstract :We report the novel dynamic of 3D dissipative vortices supported by an umbrella-shaped potential (USP) in the 3D complex Ginzburg–Landau (CGL) equation with the cubic-quintic nonlinearity. The stable solution of vortices with intrinsic vorticity S =1 and 2 are obtained in the 3D CGL equation. An appropriate USP forces the vortices continuously to throw out fundamental 3D solitons (light bullets) along the folding umbrella. The dynamic regions of the strength of the potential with the changing number of folding umbrella are analyzed, and the rate of throwing increases with the strength of the potential. A weak potential cannot provide vortices with enough force. Then, the vortices will be stretched into polygons. However, a strong potential will destroy the vortices.
出版日期: 2014-06-30
:
42.65.Tg
(Optical solitons; nonlinear guided waves)
05.45.-a
(Nonlinear dynamics and chaos)
[1] Kivshar Y S and Agrawal G P 2003 Optical Solitons: From Fibers to Photonic Crystals (New York: Academic Press) [2] Malomed B A, Mihalache D, Wise F and Torner L 2005 J. Opt. B Quantum SemiClass. Opt. 7 R53 [3] Minardi S, Eilenberger F, Kartashov Y V, Szameit A, R?pke U, Kobelke J, Schuster K, Bartelt H, Nolte S, Torner L, Lederer F, Tünnermann A and Pertsch T 2010 Phys. Rev. Lett. 105 263901 [4] Eilenberger F, Minardi S, Szameit A, R?pke U, Kobelke J, Schuster K, Bartelt H, Nolte S, Torner L, Lederer F, Tünnermann A and Pertsch T 2011 Phys. Rev. A 84 013836 [5] Wu Y and Deng L 2004 Opt. Lett. 29 2064 [6] Wu Y and Yang X 2007 Appl. Phys. Lett. 91 094104 [7] Silberberg Y 1990 Opt. Lett. 15 1282 [8] Aceves A B and Angelis C D 1993 Opt. Lett. 18 110 [9] Abdollahpour D, Suntsov S, Papazoglou D G and Tzortzakis S 2010 Phys. Rev. Lett. 105 253901 [10] Chong A, Renninger W H, Christodoulides D N and Wise F W 2010 Nat. Photon. 4 103 [11] Eilenberger F, Prater K, Minardi S, Geiss R, R?pke U, Kobelke J, Schuster K, Bartelt H, Nolte S, Tünnermann A and Pertsch T 2013 Phys. Rev. X 3 041031 [12] Mihalache D 2012 Rom. J. Phys. 57 352 [13] Wu Y and Deng L 2004 Phys. Rev. Lett. 93 143904 [14] Wu Y 2005 Phys. Rev. A 71 053820 [15] López-Mariscal C and Gutiérrez-Vega J C 2009 Opt. Photon. News 20 10 [16] Aranson I S and Kramer L 2002 Rev. Mod. Phys. 74 99 [17] Rosanov N, Akhmediev N and Ankievicz A 2005 Dissipative Solitons (New York: Springer-Verlag) [18] Malomed B A 2005 Encyclopedia of Nonlinear Science (New York: Routledge) [19] Akhmediev N N, Ankiewicz A and Soto-Crespo J M 1998 J. Opt. Soc. Am. B 15 515 [20] Ankiewicz A, Devine N, Akhmediev N and Soto-Crespo J M 2008 Phys. Rev. A 77 033840 [21] Crasovan L C, Malomed B A and Mihalache D 2000 Phys. Rev. E 63 016605 [22] Desyatnikov A, Maimistov A and Malomed B A 2000 Phys. Rev. E 61 3107 [23] Crasovan L C, Malomed B A and Mihalache D 2001 Phys. Lett. A 289 59 [24] Soto-Crespo J M, Akhmediev N, Mejia-Cortés C and Devine N 2009 Opt. Express 17 4236 [25] Skryabin D V and Vladimirov A G 2002 Phys. Rev. Lett. 89 044101 [26] Soto-Crespo J M, Grelu P and Akhmediev N 2006 Opt. Express 14 4013 [27] Mihalache D, Mazilu D, Lederer F, Leblond H and Malomed B A 2007 Phys. Rev. A 75 033811 [28] Kamagate A, Grelu P, Tchofo-Dinda P, Soto-Crespo J M and Akhmediev N 2009 Phys. Rev. E 79 026609 [29] Mihalache D, Mazilu D, Lederer F, Leblond H and Malomed B A 2008 Phys. Rev. E 78 056601 [30] Mihalache D, Mazilu D, Lederer F, Leblond H and Malomed B A 2008 Phys. Rev. A 77 033817 [31] Liu B, He X D and Li S J 2011 Phys. Rev. E 84 056607 [32] Mihalache D, Mazilu D, Lederer F, Kartashov Y V, L Crasovan C, Torner L and Malomed B A 2006 Phys. Rev. Lett. 97 073904 [33] Leblond H, Malomed B A and Mihalache D 2009 Phys. Rev. A 80 033835 [34] Sakaguchi H and Malomed B A 2009 Phys. Rev. E 80 026606 [35] He Y J, Malomed B A, Mihalache D, Liu B, Huang H C, Yang H and Wang H Z 2009 Opt. Lett. 34 2976 [36] Liu B, He Y J, Malomed B A, Wang X S, Kevrekidis P G, Wang T B, Leng F C, Qiu Z R and Wang H Z 2010 Opt. Lett. 35 1974 [37] Cleff C, Gütlich B and Denz C 2008 Phys. Rev. Lett. 100 233902 [38] Szameit A, Burghoff J, Pertsch T, Nolte S, Tünnermann A and Lederer F 2006 Opt. Express 14 6055 [39] Lega J, Moloney J V and Newell A C 1994 Phys. Rev. Lett. 73 2978
[1]
. [J]. 中国物理快报, 2022, 39(11): 114202-.
[2]
. [J]. 中国物理快报, 2022, 39(9): 94201-094201.
[3]
. [J]. 中国物理快报, 2022, 39(4): 44202-.
[4]
. [J]. 中国物理快报, 2022, 39(3): 34202-.
[5]
. [J]. 中国物理快报, 2022, 39(2): 20501-.
[6]
. [J]. 中国物理快报, 2022, 39(1): 10501-.
[7]
. [J]. 中国物理快报, 2021, 38(9): 90501-.
[8]
. [J]. 中国物理快报, 2021, 38(9): 94201-.
[9]
. [J]. 中国物理快报, 0, (): 64202-.
[10]
. [J]. 中国物理快报, 2020, 37(6): 64202-.
[11]
. [J]. 中国物理快报, 2020, 37(5): 50502-.
[12]
. [J]. 中国物理快报, 2020, 37(4): 40502-.
[13]
. [J]. 中国物理快报, 2019, 36(5): 50501-.
[14]
. [J]. 中国物理快报, 2019, 36(4): 40501-.
[15]
. [J]. 中国物理快报, 2019, 36(1): 14203-.