Chirped soliton fission and fusion in dispersion oscillating fibers

We found that pre-chirp of initial pulses allows to control both the fission and fusion of solitons in dispersion oscillating fiber characterized by a sinusoidally varying group velocity dispersion. The fission of second order solitons and collision of two co-propagated solitons are considered. It is shown that initial chirp can prevent the resonant fission of second order soliton into two pulses propagating with different group velocities. Inelastic collision of two in-phase solitons is found can be quite different, when the chirp imposed on initial pulses. The soliton transformation reflects in the set of output eigenvalues of the Zakharov–Shabat spectral problem. Manipulation of the input pulse chirp allows to control both real and imaginary parts of the eigenvalues at the output of the fiber.

[1]  V. Serkin,et al.  Nonautonomous solitons of the novel nonlinear Schrödinger equation: Self-compression, amplification, and the bound state decay in external potentials , 2021 .

[2]  K. S. Gochelashvili,et al.  All-optical fiber soliton processing using dispersion oscillating fiber , 2020, Laser Physics Letters.

[3]  L. Melnikov,et al.  Squeezed and entangled solitons via soliton fission in dispersion variable fibres , 2019, Laser Physics Letters.

[4]  A. Konyukhov,et al.  Generation of high-intensity optical breathers via soliton collision in fibres with variable dispersion , 2019, Laser Physics.

[5]  A. I. Konyukhov,et al.  On the All-Fiber Optical Methods of the Generation and Recognition of Soliton States , 2019, Journal of Experimental and Theoretical Physics.

[6]  F. Mitschke,et al.  Impact of fiber loss on two-soliton states: Substantial changes in eigenvalue spectrum , 2018, Physical Review A.

[7]  G Contestabile,et al.  Chirp management in silicon-graphene electro absorption modulators. , 2017, Optics express.

[8]  Leonid A. Melnikov,et al.  Inelastic collision and fusion of optical solitons in dispersion oscillating fiber , 2015 .

[9]  A. Maruta,et al.  Soliton's eigenvalue based analysis on the generation mechanism of rogue wave phenomenon in optical fibers exhibiting weak third order dispersion. , 2015, Optics express.

[10]  Frank R. Kschischang,et al.  Information Transmission Using the Nonlinear Fourier Transform, Part III: Spectrum Modulation , 2013, IEEE Transactions on Information Theory.

[11]  S. Suhariningsih,et al.  Break up of N-Soliton Bound State in a Gradient Refractive Index Waveguide with Nonlocal Nonlinearity , 2012 .

[12]  Frank R. Kschischang,et al.  Information Transmission Using the Nonlinear Fourier Transform, Part II: Numerical Methods , 2012, IEEE Transactions on Information Theory.

[13]  Frank R. Kschischang,et al.  Information Transmission Using the Nonlinear Fourier Transform, Part I: Mathematical Tools , 2012, IEEE Transactions on Information Theory.

[14]  Andrew M. Weiner,et al.  Optical arbitrary waveform generation , 2010 .

[15]  E. Ippen,et al.  Optical arbitrary waveform generation , 2007, CLEO/QELS: 2010 Laser Science to Photonic Applications.

[16]  Jaroslaw E Prilepsky,et al.  Breakup of a multisoliton state of the linearly damped nonlinear Schrödinger equation. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  H. Giessen,et al.  Chirp-controlled soliton fission in tapered optical fibers , 2005, (CLEO). Conference on Lasers and Electro-Optics, 2005..

[18]  Yuri S. Kivshar,et al.  Optical Solitons: From Fibers to Photonic Crystals , 2003 .

[19]  M. Desaix,et al.  Propagation properties of chirped soliton pulses in optical nonlinear Kerr media. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  V Laude,et al.  Amplitude and phase control of ultrashort pulses by use of an acousto-optic programmable dispersive filter: pulse compression and shaping. , 2000, Optics letters.

[21]  K Bergman,et al.  Observation of the breakup of a prechirped N-soliton in an optical fiber. , 1999, Optics letters.

[22]  E. Kuznetsov,et al.  Relaxation oscillations of solitons , 1994 .

[23]  A. Hasegawa,et al.  Eigenvalue communication , 1993 .

[24]  A. Hasegawa,et al.  Guiding-center soliton in optical fibers. , 1990, Optics letters.

[25]  C. C. Yang,et al.  Raman compensation for a two-channel soliton-based optical fiber communication system. , 1989, Optics letters.

[26]  H. H. Kuehl.  Solitons on an axially nonuniform optical fiber , 1988 .

[27]  A. Maimistov,et al.  ULTRASHORT PULSES: Influence of regular phase modulation on formation of optical solitons , 1987 .

[28]  Victor A. Vysloukh,et al.  On restricted N-soliton solutions of the nonlinear Schrödinger equation , 1987 .

[29]  S. Novikov,et al.  Theory of Solitons: The Inverse Scattering Method , 1984 .

[30]  V. Zakharov,et al.  Exact Theory of Two-dimensional Self-focusing and One-dimensional Self-modulation of Waves in Nonlinear Media , 1970 .