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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 14 — Jul. 5, 2010
  • pp: 14979–14991

Pulse-by-pulse method to characterize partially coherent pulse propagation in instantaneous nonlinear media

Hanna Lajunen, Víctor Torres-Company, Jesús Lancis, Enrique Silvestre, and Pedro Andrés  »View Author Affiliations

Optics Express, Vol. 18, Issue 14, pp. 14979-14991 (2010)

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We propose a numerical method for analyzing extensively the evolution of the coherence functions of nonstationary optical pulses in dispersive, instantaneous nonlinear Kerr media. Our approach deals with the individual propagation of samples from a properly selected ensemble that reproduces the coherence properties of the input pulsed light. In contrast to the usual strategy assuming Gaussian statistics, our numerical algorithm allows us to model the propagation of arbitrary partially coherent pulses in media with strong and instantaneous nonlinearities.

© 2010 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(030.6600) Coherence and statistical optics : Statistical optics
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(320.5550) Ultrafast optics : Pulses
(320.7110) Ultrafast optics : Ultrafast nonlinear optics

ToC Category:
Coherence and Statistical Optics

Original Manuscript: April 21, 2010
Revised Manuscript: May 6, 2010
Manuscript Accepted: May 12, 2010
Published: June 29, 2010

Hanna Lajunen, Víctor Torres-Company, Jesús Lancis, Enrique Silvestre, and Pedro Andrès, "Pulse-by-pulse method to characterize partially coherent pulse propagation in instantaneous nonlinear media," Opt. Express 18, 14979-14991 (2010)

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  1. J. M. Dudley, G. Genty, and S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys. 78, 1135–1184 (2006). [CrossRef]
  2. D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, "Optical rogue waves,” Nature 450, 1054–1057 (2007). [CrossRef] [PubMed]
  3. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics, (Cambridge Univ. Press, Cambridge, UK, 1995).
  4. M. Mitchell and M. Segev, “Self-trapping of incoherent white light,” Nature 387, 880–883 (1997). [CrossRef]
  5. D. N. Christodoulides, E. D. Eugenieva, T. H. Coskun, M. Segev, and M. Mitchell, “Equivalence of three approaches describing partially incoherent wave propagation in inertial nonlinear media,” Phys. Rev. E 63, 035601 (2001). [CrossRef]
  6. A. Picozzi, “Towards a nonequilibrium thermodynamic description of incoherent nonlinear optics,” Opt. Express 15, 9063–9083 (2007). [CrossRef] [PubMed]
  7. V. Semenov,M. Lisak, D. Anderson, T. Hansson, L. Helczynski-Wolf, and U. O¨ sterberg, “Mathematical basis for analysis of partially coherent wave propagation in nonlinear, non-instantaneous Kerr media,” J. Phys. A: Math. Theor. 41, 335207 (2008). [CrossRef]
  8. Q. Lin, L. G. Wang, and S. Y. Zhu, “Partially coherent light pulse and its propagation,” Opt. Commun. 219, 65–70 (2003). [CrossRef]
  9. J. Lancis, V. Torres-Company, E. Silvestre, and P. Andres, “Space-time analogy for partially coherent planewave-type pulses,” Opt. Lett. 30, 2973–2975 (2005). [CrossRef] [PubMed]
  10. H. Lajunen, J. Turunen, P. Vahimaa, J. Tervo, and F. Wyrowski, “Spectrally partially coherent pulse trains in dispersive media,” Opt. Commun. 255, 12-22 (2005). [CrossRef]
  11. V. Torres-Company, H. Lajunen, and A. T. Friberg, “Coherence theory of noise in ultrashort-pulse trains,” J. Opt. Soc. Am. B 24, 1441–1450 (2007). [CrossRef]
  12. V. A. Aleskevich, V. A. Vysloukh, G. D. Kozhoridze, A. N. Matveev, and S. T. Terzieva, “Nonlinear propagation of a partly coherent pulse in a fiber waveguide and the role of higher-order dispersion,” Sov. J. Quantum Electron. 18, 207–211 (1988). [CrossRef]
  13. A. M. Fattakhov and A. S. Chirkin, “Influence of noise on the propagation of light pulses in optical fibers,” Sov. J. Quantum Electron. 13, 1326–1330 (1983). [CrossRef]
  14. J. T. Manassah, “Self-phase modulation of incoherent light,” Opt. Lett. 15 ,329–331 (1990). [CrossRef] [PubMed]
  15. . J. Garnier, L. Videau, C. Gouedard, and A. Migus, “Propagation and amplification of incoherent pulses in dispersive and nonlinear media,” J. Opt. Soc. Am. B 15, 2773–2781 (1998). [CrossRef]
  16. S. B. Cavalcanti, “Theory of incoherent self-phase modulation of non-stationary pulses,” N. J. Phys. 4, 19.1–19.11 (2002). [CrossRef]
  17. V. P. Kandidov “Monte Carlo method in nonlinear statistical optics,” Phys. USP 39, 1243–1272 (1996). [CrossRef]
  18. B. Gross and J. T. Manassah, “Compression of the coherence time of incoherent signals to a few femtoseconds,” Opt. Lett. 16, 1835–1837 (1991). [CrossRef] [PubMed]
  19. S. A. Ponomarenko, G. P. Agrawal, and E. Wolf, “Energy spectrum of a nonstationary ensemble of pulses.” Opt. Lett. 29, 394–396 (2004). [CrossRef] [PubMed]
  20. Y. Liu, S.-G. Park, and A. M. Weiner, “Terahertz waveform synthesis via optical pulse shaping,” IEEE J. Sel. Top. Quantum Electron. 2, 709–719 (1996). [CrossRef]
  21. G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, San Diego, 1995).
  22. I. A. Walmsley and C. Dorrer, “Characterization of ultrashort electromagnetic pulses,” Adv. Opt. Photon. 1, 308–437 (2009). [CrossRef]
  23. A. Starikov, “Effective number of degrees of freedom of partially coherent sources,” J. Opt. Soc. Am. 72, 1538–1544 (1982). [CrossRef]
  24. H. Lajunen, J. Tervo, and P. Vahimaa, “Overall coherence and coherent-mode expansion of spectrally partially coherent plane-wave pulses,” J. Opt. Soc. Am. A 21, 2117–2123 (2004). [CrossRef]
  25. B. J. Davis, “Simulation of vector fields with arbitrary second-order correlations,” Opt. Express 15, 2837–2846 (2007). [CrossRef] [PubMed]
  26. G. Gbur, “Simulating fields of arbitrary spatial and temporal coherence,” Opt. Express 14, 7567–7578 (2006). [CrossRef] [PubMed]
  27. R. Loudon, The Quantum Theory of Light (Oxford University Press, Oxford, 1983).
  28. K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams, B. R. Washburn, K. Weber, and R. S. Windeler, “Fundamental amplitude noise limitations to supercontinuum spectra generated in a microstructured fiber,” Appl. Phys. B 77, 269–277 (2003). [CrossRef]
  29. R. Paschotta, “Timing jitter and phase noise of mode-locked fiber lasers,” Opt. Express 18, 5041–5054 (2010). [CrossRef] [PubMed]
  30. J. W. Goodman, Statistical Optics (Wiley, New York, 1985).

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