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Research on evolution region of self-similar pulses in a dispersion-decreasing fiber

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Abstract

The relationship between the self-similar propagation region for single pulse and oscillation region for a pair of self-similar pulses are first investigated in our paper. By introducing self-similar coefficient F and RMS width ratio K, we find that self-similar propagation region starts from z = 1.8LD to z = 18LD while F ≤ 10%. The optimum output of self-similar pulse is also achieved when F and K reach a minimum value simultaneously at z = 3.5LD. The sinusoidal fit oscillation region of self-similar pulse pair ranges from 5/8LD to 2LD while F varies from 40.27 to 7.99%, and the dark soliton fit oscillation region ranges from 2LD to 6LD while F varies from 7.99 to 5.32%, indicating that the sinusoidal fit oscillation region almost occurs before the pulses enter the self-similar propagation region and the dark soliton fit oscillation region occurs within the self-similar pulse propagation region. Furthermore, the oscillation characteristics of interacting pulses are also studied numerically by using split-step Fourier method. The results are beneficial in Dense Wavelength Division Multiplexing transmission system which is in heavy demands of light source in wide-range wavelength.

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Abbreviations

ND-DDF:

Dispersion-decreasing optical fiber with normal group-velocity dispersion

References

  • Amir, M., Hamid, H.H.: Optimum dispersion profile for compression of fundamental solitons in dispersion decreasing fibers. IEEE J. Quantum Electron. 33, 620–628 (1997)

    Article  Google Scholar 

  • Bale, B.G., Boscolo, S.: Impact of third-order fibre dispersion on the evolution of parabolic optical pulses. J. Opt. 12, 015202–015207 (2010)

    Article  ADS  Google Scholar 

  • Barenblatt, G.I.: Scaling, Self-Similarity, and Intermediate Asymptotics. Cambridge University Press, Cambridge (1996)

    Book  Google Scholar 

  • Boscolo, S., Latkin, A.I., Turitsyn, S.K.: Passive nonlinear pulse shaping in normally dispersive fiber systems. IEEE J. Quantum Electron. 44, 1196–1203 (2008)

    Article  ADS  Google Scholar 

  • da Silva, M.G., Nobrega, K.Z., Sombra, A.S.B.: Analysis of soliton switching in dispersion-decreasing fiber couplers. Opt. Commun. 171, 351–364 (1999)

    Article  ADS  Google Scholar 

  • De Kumar, K., Goyal, A., Raju, T.S., Kumar, C.N., Panigrahi, P.K.: Riccati parameterized self-similar waves in two-dimensional graded-index waveguide. Opt. Commun. 341, 15–21 (2015)

    Article  ADS  Google Scholar 

  • Desaix, M.: Wave-breaking-free pulses in nonlinear-optical fibers. J. Opt. Soc. Am. B 10, 1185–1190 (1993)

    Article  ADS  Google Scholar 

  • Dianov, E.M., Mamyshev, P.V., Prokhorov, A.M., Chernikov, S.V.: Generation of a train of fundamental solitons at a high repetition rate in optical fibers. Opt. Lett. 18, 1008–1010 (1989)

    Article  ADS  Google Scholar 

  • Finot, C., Millot, G.: Interaction between optical parabolic pulses in a Raman fiber amplifier. Opt. Express 13, 5825–5830 (2005)

    Article  ADS  Google Scholar 

  • Finot, C., Dudley, J.M., Millot, G.: Generation of dark solitons by interaction between similaritons in Raman fiber amplifiers. Opt. Fiber Technol. 12, 217–226 (2006)

    Article  ADS  Google Scholar 

  • Ghosh, D., Basu, M.: Designing suitable dispersion decreasing active fibers to generate parabolic pulses in presence of macrobending. Opt. Quantum Electron. 49, 8 (2017)

    Article  Google Scholar 

  • Ghosh, D., Basu, M., Sarkar, S.: Generation of self-similar parabolic pulses by designing normal dispersion decreasing fiber amplifier as well as its staircase substitutes. J. Lightwave Technol. 27, 3880–3887 (2009)

    Article  ADS  Google Scholar 

  • Ghosh, D., Chowdhury, D., Basu, M.: Silica based highly nonlinear fibers to generate parabolic self-similar pulses. Opt. Quantum Electron. 47, 2615–2635 (2015)

    Article  Google Scholar 

  • He, J.R., Yi, L.: Exact optical self-similar solutions in a tapered graded-index nonlinear-fiber amplifier with an external source. Opt. Commun. 320, 129–137 (2014)

    Article  ADS  Google Scholar 

  • Hirooka, T., Nakazawa, M.: Parabolic pulse generation by use of a dispersion-decreasing fiber with normal group-velocity dispersion. Opt. Lett. 29, 498–500 (2004)

    Article  ADS  Google Scholar 

  • Kibler, B., Billet, C., Lacourt, P.A., Ferriere, R., Dudley, J.M.: All-fiber source of 20-fs pulses at 1550 nm using two-stage linear-nonlinear compression of parabolic similaritons. IEEE Photonics Technol. Lett. 18, 1831–1833 (2006)

    Article  ADS  Google Scholar 

  • Krishna Ghosh, B., Ghosh, D., Basu, M.: Prospective use of a normally dispersive step-index chalcogenide fiber in nonlinear pulse reshaping. Appl. Opt. 57, 3348–3356 (2018)

    Article  ADS  Google Scholar 

  • Liu, Y.L., Luo, A.P., Luo, Z.C., Xu, W.C.: Suppression of parabolic pulse-pair interaction using dispersion-managed fiber links with non-zero dispersion. J. Mod. Opt. 58, 1004–1011 (2011)

    Article  ADS  Google Scholar 

  • Loomba, S., Mani Rajan, M.S., Gupta, R., Kaur, H., Kumar, C.N.: Nonlinear tunneling of optical similaritons in a tapered graded-index nonlinear waveguide. Opt. Commun. 324, 286–295 (2014)

    Article  ADS  Google Scholar 

  • Ozeki, Y., Takushima, Y., Aiso, K., Taira, K., Kikuchi, K.: Generation of 10 GHz similariton pulse trains from 1.2 km-long erbium-doped fibre amplifier for application to multi- wavelength pulse sources. Electron. Lett. 40, 1103–1104 (2004)

    Article  Google Scholar 

  • Ponomarenko, S.A., Agrawal, G.P.: Nonlinear interaction of two or more similaritons in loss- and dispersion-managed fiber. J. Opt. Soc. Am. B 25, 983–989 (2008)

    Article  ADS  Google Scholar 

  • Ruehl, A., Prochnow, O., Wandt, D., Krachtet, D., Burgoyne, B., Godbout, N., Lacroix, S.: Dynamics of parabolic pulses in an ultrafast fiber laser. Opt. Lett. 31, 2734–2736 (2006)

    Article  ADS  Google Scholar 

  • Tamura, K.R., Kubota, T.H., Nakazawa, M.: Fundamentals of stable continuum generation at high repetition rates. IEEE J. Quantum Electron. 36, 773–779 (2000)

    Article  ADS  Google Scholar 

  • Wabnitz, S., Finot, C.: Theory of parabolic pulse propagation in nonlinear dispersion-decreasing optical fiber amplifiers. J. Opt. Soc. Am. B 25, 614–621 (2008)

    Article  ADS  Google Scholar 

  • Wang, L., Zhu, Y.J., Jiang, D.Y.: Self-similar rogue waves and nonlinear tunneling effects in inhomogeneous nonlinear fiber optics. J. Mod. Opt. 63, 704–714 (2016)

    Article  ADS  Google Scholar 

  • Zhang, Q., Gao, J.: Generation of excellent self-similar pulses in a dispersion-decreasing fiber. Optik 122, 1753–1756 (2011)

    Article  ADS  Google Scholar 

  • Zhang, Q., Li, H., Wu, L., Gao, J.: Influence of dispersion distribution on the propagation and compression of self-similar optical beam. Eur. Phys. J. D 73, 26 (2019)

    Article  ADS  Google Scholar 

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Nos. 61705045, U1601202, 51675106), Guangdong Provincial Science and Technology Research Project (Nos. 2015B010104008, 2016A030308016, 17ZK0091), Foundation of Guangdong Province Science and Technology (No. 2017A090905047), Special and Technology Enterprises of Provincial Science and Technology Enterprises of Small and Medium sized (No. 2016A010119143), Foundation of Guangdong Province Science and Technology (No. 201604010011).

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Authors and Affiliations

  1. Key Laboratory of Precision Microelectronic Manufacturing Technology and Equipment of Ministry of Education, Guangdong University of Technology, Guangzhou, 510006, China

    Qiaofen Zhang, Liming Wu, Jian Gao, Guitang Wang & Yaohua Deng

  2. School of Engineering and Build Environment, Gold Coast Campus, Griffith University, Brisbane, QLD, 4222, Australia

    Huaizhong Li

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  1. Qiaofen Zhang
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  2. Huaizhong Li
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  3. Liming Wu
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  4. Jian Gao
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  5. Guitang Wang
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  6. Yaohua Deng
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Correspondence to Qiaofen Zhang.

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Zhang, Q., Li, H., Wu, L. et al. Research on evolution region of self-similar pulses in a dispersion-decreasing fiber. Opt Quant Electron 51, 190 (2019). https://doi.org/10.1007/s11082-019-1908-7

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