Soliton Interaction in Multi-Core Optical Fiber: Application to WDM System
The analytical bright two soliton solution of the 3-
coupled nonlinear Schrödinger equations with variable coefficients in
birefringent optical fiber is obtained by Darboux transformation
method. To the design of ultra-speed optical devices, Soliton
interaction and control in birefringence fiber is investigated. Lax pair
is constructed for N coupled NLS system through AKNS method.
Using two-soliton solution, we demonstrate different interaction
behaviors of solitons in birefringent fiber depending on the choice of
control parameters. Our results shows that interactions of optical
solitons have some specific applications such as construction of logic
gates, optical computing, soliton switching, and soliton amplification
in wavelength division multiplexing (WDM) system.
[1] A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23 (1973)142– 144.
[2] L.F. Mollenauer, R.H. Stolen, J.P. Gordon, Phys. Rev. Lett. 45
(1980)1095–1098.
[3] G.P. Agrawal, Nonlinear Fiber Optics; Academic Press: New York,
1995.
[4] I. P. Kaminow, IEEE J. Quantum Electron. 17 (1981) 15.
[5] C. R. Menyuk, Opt. Lett. 12 (1987) 614.
[6] F. Abdullaeev, Theory of Solitons in Inhomogeneous Media, Wiley,
New York, 1994
[7] R. Ganapathy, K. Porsezian, A. Hasegawa, V.N. Serkin, IEEE J.
Quantum Electron. 44 (2008) 383–390.
[8] Y.S. Kivshar, G.P. Agrawal, Optical Solitons: From Fibers to Photonic
Crystals. Academic Press, San Diego (2003)
[9] M. Wang, W.R. Shan, X. Lü, Y.S. Xue, Z.Q. Lin, B. Tian, Appl. Math.
Comput. 219 (2013) 11258–11264.
[10] D.S. Wang, S. Yin, Y. Tian, Y. Liu, Appl. Math. Comput. 229 (2014)
296–309.
[11] M.J. Ablowitz, D.J. Kaup, A.C. Newell, H. Segur, Phys. Rev. Lett.
1973, 31, 125–127. [12] V. Matveev, M. Salle, Darboux Transformation and Solitons, Springer,
Berlin, 1991.
[13] M.S. Mani Rajan, A. Mahalingam, A. Uthayakumar, K. Porsezian,
Commun. Nonlinear Sci. Numer. Simul. 18 (2013) 1410–1432.
[14] M.S. Mani Rajan, A. Mahalingam, J. Math. Phys. 54 (2013) 043514.
[1] A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23 (1973)142– 144.
[2] L.F. Mollenauer, R.H. Stolen, J.P. Gordon, Phys. Rev. Lett. 45
(1980)1095–1098.
[3] G.P. Agrawal, Nonlinear Fiber Optics; Academic Press: New York,
1995.
[4] I. P. Kaminow, IEEE J. Quantum Electron. 17 (1981) 15.
[5] C. R. Menyuk, Opt. Lett. 12 (1987) 614.
[6] F. Abdullaeev, Theory of Solitons in Inhomogeneous Media, Wiley,
New York, 1994
[7] R. Ganapathy, K. Porsezian, A. Hasegawa, V.N. Serkin, IEEE J.
Quantum Electron. 44 (2008) 383–390.
[8] Y.S. Kivshar, G.P. Agrawal, Optical Solitons: From Fibers to Photonic
Crystals. Academic Press, San Diego (2003)
[9] M. Wang, W.R. Shan, X. Lü, Y.S. Xue, Z.Q. Lin, B. Tian, Appl. Math.
Comput. 219 (2013) 11258–11264.
[10] D.S. Wang, S. Yin, Y. Tian, Y. Liu, Appl. Math. Comput. 229 (2014)
296–309.
[11] M.J. Ablowitz, D.J. Kaup, A.C. Newell, H. Segur, Phys. Rev. Lett.
1973, 31, 125–127. [12] V. Matveev, M. Salle, Darboux Transformation and Solitons, Springer,
Berlin, 1991.
[13] M.S. Mani Rajan, A. Mahalingam, A. Uthayakumar, K. Porsezian,
Commun. Nonlinear Sci. Numer. Simul. 18 (2013) 1410–1432.
[14] M.S. Mani Rajan, A. Mahalingam, J. Math. Phys. 54 (2013) 043514.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:71454", author = "S. Arun Prakash and V. Malathi and M. S. Mani Rajan", title = "Soliton Interaction in Multi-Core Optical Fiber: Application to WDM System", abstract = "The analytical bright two soliton solution of the 3-
coupled nonlinear Schrödinger equations with variable coefficients in
birefringent optical fiber is obtained by Darboux transformation
method. To the design of ultra-speed optical devices, Soliton
interaction and control in birefringence fiber is investigated. Lax pair
is constructed for N coupled NLS system through AKNS method.
Using two-soliton solution, we demonstrate different interaction
behaviors of solitons in birefringent fiber depending on the choice of
control parameters. Our results shows that interactions of optical
solitons have some specific applications such as construction of logic
gates, optical computing, soliton switching, and soliton amplification
in wavelength division multiplexing (WDM) system.", keywords = "Optical soliton, soliton interaction, soliton switching,
WDM.", volume = "9", number = "12", pages = "703-4", }