Abstract
Switching characteristics of dark soliton in asymmetric nonlinear directional couplers are numerically studied. Every individual effect, responsible for producing asymmetry in nonlinear directional coupler, has been analyzed in detail. It is found that group-velocity mismatch and the difference in group-velocity dispersions between the two cores have no impact on dark soliton, which can be specified as an advancement over the bright solitons. The effects of phase velocity, the difference in effective mode areas and the linear coupling coefficient on the dark soliton switching are also investigated.
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S. Trillo, S. Wabnitz, E. Wright, G. Stegeman, Soliton switching in fiber nonlinear directional couplers. Opt. Lett. 13, 672–674 (1988)
Y.S. Kivshar, Switching dynamics of solitons in fiber directional couplers. Opt. Lett. 18, 7–9 (1993)
I. Uzunov, R. Muschall, M. Gölles, Y.S. Kivshar, B. Malomed, F. Lederer, Pulse switching in nonlinear fiber directional couplers. Phys. Rev. E 51, 2527–2537 (1995)
B.A. Malomed, I. Skinner, P. Chu, G. Peng, Symmetric and asymmetric solitons in twin-core nonlinear optical fibers. Phys. Rev. E 53, 4084–4091 (1996)
K.J. Blow, N.J. Doran, B.K. Nayar, Experimental demonstration of optical soliton switching in an all-fiber nonlinear Sagnac interferometer. Opt. Lett. 14, 754–756 (1989)
S. Friberg, A. Weiner, Y. Silberberg, B. Sfez, P. Smith, Femotosecond switching in a dual-core-fiber nonlinear coupler. Opt. Lett. 13, 904–906 (1988)
B. Dana, B.A. Malomed, A. Bahabad, Breathing solitary-pulse pairs in a linearly coupled system. Opt. Lett. 39, 2175–2178 (2014)
K.S. Chiang, Intermodal dispersion in two-core optical fibers. Opt. Lett. 20, 997–999 (1995)
P. Ramos, C. Paiva, All-optical pulse switching in twin-core fiber couplers with intermodal dispersion. IEEE J. Quantum Electron. 35, 983–989 (1999)
G. Diankov, I. Uzunov, F. Lederer, Effect of third-order dispersion on pulse dynamics in nonlinear directional coupler. Electron. Lett. 30, 155–156 (1994)
B.A. Malomed, I.M. Skinner, R.S. Tasgal, Solitons in a nonlinear optical coupler in the presence of the Raman effect. Opt. Commun. 139, 247–251 (1997)
A. Govindaraji, A. Mahalingam, A. Uthayakumar, Femtosecond pulse switching in a fiber coupler with third order dispersion and self-steepening effects. Opt. Int. J. Light Electron Opt. 125, 4135–4139 (2014). ISSN 0030–4026
Y. Chen, A.W. Snyder, D.N. Payne, Twin core nonlinear couplers with gain and loss. IEEE J. Quantum Electron. 28, 239–245 (1992)
S. Jensen, The nonlinear coherent coupler. IEEE J. Quantum Electron. 18, 1580–1583 (1982)
D.J. Kaup, B.A. Malomed, Gap solitons in asymmetric dual-core nonlinear optical fibers. J. Opt. Soc. Am. B 15, 2838–2846 (1998)
C.C. Yang, All-optical ultrafast logic gates that use asymmetric nonlinear directional couplers. Opt. Lett. 16, 1641–1643 (1991)
C.C. Yang, A. Wang, Asymmetric nonlinear coupling and its applications to logic functions. IEEE J. Quantum Electron. 28, 479–487 (1992)
D.J. Kaup, T.I. Lakoba, B.A. Malomed, Asymmetric solitons in mismatched dual-core optical fibers. J. Opt. Soc. Am. B 14, 1199–1206 (1997)
K. Nóbrega, M. da Silva, A. Sombra, Multistable all-optical switching behavior of the asymmetric nonlinear directional coupler. Opt. Commun. 173, 413–421 (2000). ISSN 0030–4018
P. Shum, M. Liu, Effects of intermodal dispersion on two-nonidentical-core coupler with different radii. IEEE Photon. Technol. Lett. 14, 1106–1108 (2002)
X. He, K. Xie, A. Xiang, Optical solitons switching in asymmetric dual-core nonlinear fiber couplers. Opt. Int. J. Light Electron Opt. 122, 1222–1224 (2011). ISSN 0030–4026
Q. Li, A. Zhang, X. Hua, Numerical simulation of solitons switching and propagating in asymmetric directional couplers. Opt. Commun. 285, 118–123 (2012). ISSN 0030–4018
G. Agrawal, Nonlinear Fiber Optics, Optics and Photonics (Academic Press, Waltham, 2006)
A. Hasegawa, F. Tappert, Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. II. Normal dispersion. Appl. Phys. Lett. 23, 171–172 (1973)
A. Ankiewicz, M. Karlsson, N. Akhmediev, Dark soliton pairs in fiber couplers. Opt. Commun. 111, 116–122 (1994)
D. Huang, H. Li, Dark soliton transmission in twin-core fiber. Int. J. Infrared Millim. Waves 22, 93–100 (2001). ISSN 0195–9271
A. Zakery, M. Hatami, Design of an ultra-fast all-optical dark soliton switch in a nonlinear directional coupler (NLDC) made of chalcogenide glasses. J. Phys. D Appl. Phys. 40, 1010 (2007)
A.K. Sarma, Dark soliton switching in an NLDC in the presence of higher-order perturbative effects. Opt. Laser Technol. 41, 247–250 (2009)
A. Govindaraji, A. Mahalingam, A. Uthayakumar, Dark soliton switching in nonlinear fiber couplers with gain. Opt. Laser Technol. 60, 18–21 (2014). ISSN 0030–3992
G. Agrawal, Applications of Nonlinear Fiber Optics (Academic Press, Waltham, 2001)
J. Atai, B.A. Malomed, Spatial solitons in a medium composed of self-focusing and self-defocusing layers. Phys. Lett. A 298, 140–148 (2002)
J. Atai, B.A. Malomed, Stability and interactions of solitons in asymmetric dual-core optical waveguides. Opt. Commun. 221, 55–62 (2003). ISSN 0030–4018
Y. Wang, W. Wang, A simple and efficient numerical method for nonlinear pulse propagation in n-core optical couplers. IEEE Photon. Technol. Lett. 16, 1077–1079 (2004)
M. da Silva, A. Sombra, All-optical soliton switching in three-core nonlinear fiber couplers. Opt. Commun. 145, 281–290 (1998)
A. Zafrany, B.A. Malomed, I.M. Merhasin, Solitons in a linearly coupled system with separated dispersion and nonlinearity. Chaos Interdiscip. J. Nonlinear Sci. 15, 037108 (2005)
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We are grateful to reviewers for their valuable comments to improve the work. The authors AM and AU would like to thank, DST, India for sponsoring this work by means of major research projects.
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Govindaraji, A., Mahalingam, A. & Uthayakumar, A. Numerical investigation of dark soliton switching in asymmetric nonlinear fiber couplers. Appl. Phys. B 120, 341–348 (2015). https://doi.org/10.1007/s00340-015-6142-9
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DOI: https://doi.org/10.1007/s00340-015-6142-9