## Compression and propagation of dispersive and rectangular similaritons in asymmetric twin-core fibers |

JOSA B, Vol. 30, Issue 4, pp. 934-938 (2013)

http://dx.doi.org/10.1364/JOSAB.30.000934

Enhanced HTML Acrobat PDF (512 KB)

### Abstract

We explore dispersive and rectangular similariton solutions to the generalized nonlinear Schrödinger equation with varying dispersion, nonlinearity, gain, and source. The obtained similariton solutions are approximate but nevertheless highly accurate. As an application, we delineate the nonlinear compression of these similaritons for a dispersion-decreasing management profile. Also, for a periodic distributed amplification system, we demonstrate the formation of bound-state similaritons.

© 2013 Optical Society of America

**OCIS Codes**

(060.2320) Fiber optics and optical communications : Fiber optics amplifiers and oscillators

(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons

(190.4370) Nonlinear optics : Nonlinear optics, fibers

**ToC Category:**

Nonlinear Optics

**History**

Original Manuscript: October 31, 2012

Revised Manuscript: January 11, 2013

Manuscript Accepted: February 10, 2013

Published: March 14, 2013

**Citation**

Thokala Soloman Raju, Prasanta K. Panigrahi, and C. N. Kumar, "Compression and propagation of dispersive and rectangular similaritons in asymmetric twin-core fibers," J. Opt. Soc. Am. B **30**, 934-938 (2013)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-30-4-934

Sort: Year | Journal | Reset

### References

- V. N. Serkin and A. Hasegawa, “Novel soliton solutions of the nonlinear Schrödinger equation model,” Phys. Rev. Lett. 85, 4502–4505 (2000).
- V. N. Serkin and A. Hasegawa, “Soliton management in the nonlinear Schrödinger equation model with varying dispersion, nonlinearity, and gain,” JETP Lett. 72, 89–92 (2000).
- V. N. Serkin and T. L. Belyaeva, “Optimal control of optical soliton parameters: the Lax representation in the problem of soliton management,” Qunatum Elec. 32, 1007–1015 (2001).
- V. N. Serkin and T. L. Belyaeva, “High energy optical Schrödinger solitons,” JETP Lett. 74, 573–577 (2001).
- V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Comment on ‘Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. Lett. 92, 199401 (2004).
- V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Nonautonomous solitons in external potentials,” Phys. Rev. Lett. 98, 074102 (2007).
- V. N. Serkin and A. Hasegawa, “Exactly integrable nonlinear Schrödinger equation models with varying dispersion, nonlinearity and gain: application for soliton dispersion,” IEEE J. Sel. Top. Quantum Electron. 8, 418–431 (2002).
- V. I. Kruglov, A. C. Peacock, and J. D. Harvey, “Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. Lett. 90, 113902 (2003).
- V. I. Kruglov, A. C. Peacock, and J. D. Harvey, “Exact solutions of the generalized nonlinear Schrödinger equation with distributed coefficients,” Phys. Rev. E 71, 056619 (2005).
- J. F. Wang, L. Li, Z. H. Li, G. S. Zhou, D. Mihalache, and B. A. Malomed, “Generation, compression and propagation of pulse trains under higher-order effects,” Opt. Commun. 263, 328–336 (2006).
- S. A. Ponomarenko and G. P. Agrawal, “Interaction of chirped and chirp-free similaritons in fiber amplifiers,” Opt. Express 15, 2963–2973 (2007).
- S. A. Ponomarenko and G. P. Agrawal, “Optical similaritons in nonlinear waveguides,” Opt. Lett. 32, 1659–1661 (2007).
- J. F. Wang, L. Li, and S. T. Jia, “Nonlinear tunneling of optical similaritons in nonlinear waveguides,” J. Opt. Soc. Am. B 25, 1254–1260 (2008).
- V. I. Kruglov, A. C. Peacock, J. D. Harvey, and J. M. Dudley, “Self-similar propagation of parabolic pulses in normal-dispersion fiber amplifiers,” J. Opt. Soc. Am. B 19, 461–469 (2002).
- F. Ö. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, “Self-similar evolution of parabolic pulses in a laser,” Phys. Rev. Lett. 92, 213902 (2004).
- J. M. Dudley, C. Finot, D. J. Richardson, and G. Millot, “Self-similarity in ultrafast nonlinear optics,” Nat. Phys. 3, 597–603 (2007).
- L. Wu, J. F. Zhang, L. Li, Q. Tian, and K. Porsezian, “Similaritons in nonlinear optical systems,” Opt. Express 16, 6352–6360 (2008).
- V. I. Kruglov, C. Aguergaray, N. G. Broderick, and J. D. Harvey, “Dispersive and rectangular similariton generation in fiber amplifiers and lasers,” Phys. Rev. A 85, 061803(R) (2012).
- K. Porsezian, A. Hasegawa, V. N. Serkin, T. L. Belyaeva, and R. Ganapathy, “Dispersion and nonlinear management for femtosecond optical solitons,” Phys. Lett. A 361, 504–508 (2007).
- V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, “Solitary waves in nonautonomous nonlinear and dispersive systems: nonautonomous solitons,” J. Mod. Opt. 57, 1456–1472 (2010).
- B. A. Malomed, I. M. Skinner, P. L. Chu, and G. D. Peng, “Symmetric and asymmetric solitons in twin-core nonlinear optical fibers,” Phys. Rev. E 53, 4084–4091 (1996).
- M. Liu and P. Shum, “Generalized coupled nonlinear equations for the analysis of asymmetric two-core fiber coupler,” Opt. Express 11, 116–119 (2003).
- G. Cohen, “Soliton interaction with an external traveling wave,” Phys. Rev. E 61, 874–879 (2000).
- B. A. Malomed, “Bound solitons in a nonlinear optical coupler,” Phys. Rev. E 51, R864–R866 (1995).
- T. Soloman Raju, P. K. Panigrahi, and K. Porsezian, “Nonlinear compression of solitary waves in asymmetric twin-core fibers,” Phys. Rev. E 71, 026608 (2005).
- T. Soloman Raju, P. K. Panigrahi, and K. Porsezian, “Self-similar propagation and compression of chirped self-similar waves in asymmetric twin-core fibers with nonlinear gain,” Phys. Rev. E 72, 046612 (2005).
- T. Soloman Raju and P. K. Panigrahi, “Self-similar propagation in a graded-index nonlinear-fiber amplifier with an external source,” Phys. Rev. A 81, 043820 (2010).
- T. Soloman Raju and P. K. Panigrahi, “Optical similaritons in a tapered graded-index nonlinear-fiber amplifier with an external source,” Phys. Rev. A 84, 033807 (2011).
- P. G. Drazin and R. S. Johnson, Solitons: An Introduction(Cambridge University, 1988).
- F. Calogero and A. Degasperis, Spectral Transform and Solitons (North-Holland, 1982).
- R. Y. Hao, L. Li, Z. H. Li, R. C. Yang, and G. S. Zhou, “A new way to exact quasi-soliton solutions and soliton interaction for the cubic-quintic nonlinear Schrödinger equation with variable coefficients,” Opt. Commun. 245, 383–390 (2005).

## Cited By |
Alert me when this paper is cited |

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article | Next Article »

OSA is a member of CrossRef.