Top

Optical and Quantum Electronics

Published in:

01-02-2015

On the amplification of unchirped soliton pulses in a dispersion-decreasing fiber

Authors: Hui Zhong, Bo Tian, Yan Jiang, Hao Sun, Hui-Ling Zhen, Wen-Rong Sun

Published in: Optical and Quantum Electronics | Issue 2/2015

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

In this paper, based on a variable-coefficient nonlinear Schrödinger (vcNLS) equation, amplification of the fundamental and second-order unchirped solitons in the dispersion-decreasing fiber without any external amplification device, which is different from those in the existing literatures, is studied. Via symbolic computation, soliton solutions of the vcNLS equation are obtained. For a fundamental-soliton pulse, the amplitude is amplified by the gain during the propagation, whereas the width keeps unchanged. Because of the equilibrium between the gain, nonlinearity and varying dispersion, soliton structure is not destroyed, and the amplified fundamental soliton is free from the pedestal and chirp. With the increase of the absolute value of the gain coefficient \(\alpha \), magnification of the fundamental-soliton amplitude is enhanced in the same propagation distance. For the second-order soliton, the width is compressed and the amplitude is amplified, because the amplification process is accompanied by the compression of the soliton. Period of the second-order soliton decreases exponentially during the propagation, and decreases with the increase of the absolute value of \(\alpha \) in the same propagation distance.

previous article Single longitudinal mode Ytterbium doped fiber lasers with large proposed tuning range

next article Bound to continuum absorption coefficient for spherical and conical quantum dots

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Agrawal, G.P.: Effect of two-photon absorption on the amplification of ultrashort optical pulses. Phys. Rev. E 48, 2316–2318 (1993)ADSCrossRef

Agrawal, G.P.: Optical Fiber Communications III. Academic, New York (1997)

Agrawal, G.P.: Nonlinear Fibre Optics, 3rd edn. Academic, San Diego (2003)

Agrawal, G.P.: Applications of Nonlinear Fiber Optics, 2nd edn. Academic, New York (2008)

Aguergaray, C., Andersen, T.V., Schimpf, D.N., Schmidt, O., Rothhardt, J., Schreiber, T., Limpert, J.: Parametric amplification and compression to ultrashort pulse duration of resonant linear waves. Opt. Exp. 15, 5699–5710 (2007)ADSCrossRef

Audebert, P., Lecherbourg, L., Bastiani-Ceccotti, S., Geindre, J.P., Blancard, C., Cossé, P., Faussurier, G., Shepherd, R., Renaudin, P.: Atomic processes in plasmas created by an ultra-short laser pulse. J. Phys. Conf. Ser. 112, 042001-1–042001-4 (2008)

Cao, W.H., Wai, P.K.A.: Higher-order soliton compression with pedestal suppression in nonlinear optical loop mirrors constructed from dispersion decreasing fibers. Opt. Commun. 221, 181–190 (2003)ADSCrossRef

Desurvire, E.: Erbium-Doped Fiber Amplifiers: Principles and Applications. Wiley, New York (1994)

Dubietis, A., Tamo\(\breve{s}\)auskas, G., Polesana, P., Valiulis, G., Valtna, H., Faccio, D., Di Trapani, P., Piskarskas, A.: Highly efficient four-wave parametric amplification in transparent bulk Kerr medium. Opt. Exp. 15, 11126–11132 (2007)

Gagnon, L., Bélanger, P.A.: Adiabatic amplification of optical solitons. Phys. Rev. A 43, 6187–6193 (1991)ADSCrossRef

Gasch, A., Berning, T., Jäger, D.: Generation and parametric amplification of solitons in a nonlinear resonator with a Korteweg-de Vries medium. Phys. Rev. A 34, 4528–4531 (1986)ADSCrossRef

Hilaire, S., Pagnoux, D., Roy, P., Février, S.: Numerical study of single mode Er-doped microstructured fibers: influence of geometrical parameters on amplifier performances. Opt. Exp. 14, 10865–10877 (2006)ADSCrossRef

Hirota, R.: Exact solutions of the Korteweg–de Vries equation for multiple collisions of solitons. Phys. Rev. Lett. 27, 1192–1194 (1971)ADSCrossRefMATH

Hirota, R.: Exact envelope-soliton solutions of a nonlinear wave. J. Math. Phys. 14, 805–809 (1973)ADSCrossRefMATHMathSciNet

Kanna, T., Lakshmanan, M., Tchofo Dinda, P., Akhmediev, N.: Soliton collisions with shape change by intensity redistribution in mixed coupled nonlinear Schrödinger equations. Phys. Rev. E 73, 026604-1–026604-15 (2006)

Korneev, N., Vysloukh, V.A., Rodriguez, E.M.: Propagation dynamics of weakly localized cnoidal waves in dispersion-managed fiber: from stability to chaos. Opt. Exp. 11, 3574–3582 (2003)ADSCrossRef

Kubota, Y., Odagaki, T.: Numerical study of soliton scattering in inhomogeneous optical fibers. Phys. Rev. E 68, 026603-1–026603-9 (2003)

Larionova, Y., Weiss, C.O., Egorov, O.: Dark solitons in semiconductor resonators. Opt. Exp. 13, 8308–8317 (2005)ADSCrossRef

Li, B.: Exact soliton solutions to an averaged dispersion-managed fiber system equation. Z. Naturforsch. A 59, 919–926 (2004)

Liao, Z.M., Agrawal, G.P.: Role of distributed amplification in designing high-capacity soliton systems. Opt. Exp. 9, 66–71 (2001)ADSCrossRef

Lin, G.R., Liao, Y.S., Xia, G.Q.: Dynamics of optical backward-injection-induced gain-depletion modulation and mode locking in semiconductor optical amplifier fiber lasers. Opt. Exp. 12, 2017–2026 (2004)ADSCrossRef

Lin, Y.T., Lin, G.R.: Dual-stage soliton compression of a self-started additive pulse mode-locked erbium-doped fiber laser for 48 fs pulse generation. Opt. Lett. 31, 1382–1384 (2006)ADSCrossRef

Lin, G.R., Lin, Y.T., Lee, C.K.: Simultaneous pulse amplification and compression in all-fiber-integrated pre-chirped large-mode-area Er-doped fiber amplifier. Opt. Exp. 15, 2993–2999 (2007)ADSCrossRef

McKinstrie, C.J., Moore, R.O., Radic, S., Jiang, R.: Phase-sensitive amplification of chirped optical pulses in fibers. Opt. Exp. 15, 3737–3758 (2007)ADSCrossRef

Nakkeeran, K., Kwan, Y.H.C., Wai, P.K.A.: Method to find the stationary solution parameters of chirped fiber grating compensated dispersion-managed fiber systems. Opt. Commun. 215, 315–321 (2003)ADSCrossRef

Ngabireng, C.M., Dinda, P.T.: Radiating and nonradiating dispersion-managed solitons. Opt. Lett. 30, 595–597 (2005)ADSCrossRef

Ozeki, Y., Takasaka, S., Inoue, T., Igarashi, K., Hiroishi, J., Sugizaki, R., Sakano, M., Namiki, S.: Nearly exact optical beat-to-soliton train conversion based on comb-like profiled fiber emulating a polynomial dispersion decreasing profile. IEEE Photonic. Tech. Lett. 17, 1698–1700 (2005)ADSCrossRef

Ozeki, Y., Inoue, T.: Stationary rescaled pulse in dispersion-decreasing fiber for pedestal-free pulse compression. Opt. Lett. 31, 1606–1608 (2006)ADSCrossRef

Röser, F., Eidam, T., Rothhardt, J., Schmidt, O., Schimpf, D.N., Limpert, J., Tünnermann, A.: Millijoule pulse energy high repetition rate femtosecond fiber chirped-pulse amplification system. Opt. Lett. 32, 3495–3497 (2007)ADSCrossRef

Samek, O., Kurowski, A., Kittel, S., Kukhlevsky, S., Hergenröder, R.: Ultra-short laser pulse ablation using shear-force feedback: femtosecond laser induced breakdown spectroscopy feasibility study. Spectrochim. Acta B 60, 1225–1229 (2005)ADSCrossRef

Senthilnathan, K., Nakkeeran, K., Li, Q., Wai, P.K.A.: Pedestal free pulse compression of chirped optical solitons. Opt. Commun. 285, 1449–1455 (2012)ADSCrossRef

Shen, Y.J., Gao, Y.T., Yu, X., Meng, G.Q., Qin, Y.: Bell-polynomial approach applied to the seventh-order Sawada-Kotera-Ito equation. Appl. Math. Comput. 277, 502–508 (2014)

Sun, Z.Y., Gao, Y.T., Yu, X., Liu,Y.: Amplification of nonautonomous solitons in the Bose-Einstein condensates and nonlinear optics. Europhys. Lett. 93, 40004-1–40004-6 (2011)

Sun, Z.Y., Gao, Y.T., Yu, X., Liu,Y.: Dynamics of bound vector solitons induced by stochastic perturbations: soliton breakup and soliton switching. Phys. Lett. A 377, 3283–3290 (2013)

Sysliatin, A.A., Nolan, D.A.: Optical signal processing in dispersion varying fiber. J. Nonlinear Opt. Phys. 16, 171–184 (2007)CrossRef

Takara, H., Kawanishi, S., Saruwatari, M.: Optical signal eye diagram measurement with subpicosecond resolution using optical sampling. Electron. Lett. 32, 1399–1400 (1996)CrossRef

Tamura, K.R., Yoshida, E., Nakazawa, M.: Generation of a 10 GHz pulse train at 16 wavelengths by spectrally slicing a high power femtosecond source. Electron. Lett. 32, 1691–1693 (1996)CrossRef

Wada, N., Sotobayashi, H., Kitayama, K.: 2.5 Gbit/s time-spread/wavelength-hop optical code division multiplexing using fiber Bragg grating with supercontinuum light source. Electron. Lett. 36, 816–817 (2000)CrossRef

Wai, P.K.A., Cao, W.H.: Ultrashort soliton generation through higher-order soliton compression in a nonlinear optical loop mirror constructed from dispersion-decreasing fiber. J. Opt. Soc. Am. B 20, 1346–1355 (2003)ADSCrossRef

Xu, Z.Y., Li, L., Li, Z.H., Zhou, G.S., Nakkeeran, K.: Exact soliton solutions for the core of dispersion-managed solitons. Phys. Rev. E 68, 046605-1–046605-8 (2003)

Yaita, M., Nagatsuma, T.: The effect of sampling-pulse pedestals on temporal resolution in electro-optic sampling. IEICE Trans. Electron. E81–C, 254–259 (1998)

Yamamoto, T., Yoshida, E., Tamura, K.R., Yonenaga, K., Nakazawa, M.: 640-Gbit/s optical TDM transmission over 92 km through a dispersion-managed fiber consisting of single-mode fiber and “reverse dispersion fiber”. IEEE Photon. Technol. Lett. 12, 353–355 (2000)ADSCrossRef

Zuo, D.W., Gao, Y.T., Meng, G.Q., Shen Y.J., Yu, X.: Multi-soliton solutions for the three-coupled KdV equations engendered by the Neumann system. Nonlinear Dynamics, 75, 701–708 (2014)

Title: On the amplification of unchirped soliton pulses in a dispersion-decreasing fiber
Authors: Hui Zhong
Bo Tian
Yan Jiang
Hao Sun
Hui-Ling Zhen
Wen-Rong Sun
Publication date: 01-02-2015
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 2/2015
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-014-9892-4

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Springer Professional "Wirtschaft+Technik"

Springer Professional "Wirtschaft"

Other articles of this Issue 2/2015

Single SOA based ultrafast all-optical wavelength conversion for PolSK signal

Wafer design of widely tunable vertical-external-cavity surface-emitting laser with broadband gain spectrum

High power Ho:YAG laser pumped by two orthogonally polarized Tm:YLF lasers

Investigation of nonlinear light optimum parameters to compensate loss in multilayer metamaterial waveguide with an active cladding layer

Focusing properties of a 4Pi configuration system under the illumination of double ring shaped beam

Role of exciton spin relaxation on optical bistability and multistability in a multiple quantum well nanostructure