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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 21, Iss. 2 — Feb. 1, 2004
  • pp: 376–383

Controllable Raman-like nonlinearities from nonstationary, cascaded quadratic processes

Fatih Ö. Ilday, Kale Beckwitt, Yi-Fan Chen, Hyungsik Lim, and Frank W. Wise  »View Author Affiliations

JOSA B, Vol. 21, Issue 2, pp. 376-383 (2004)

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We show that useful noninstantaneous, nonlinear phase shifts can be obtained from cascaded quadratic processes in the presence of group-velocity mismatch. The two-field nature of the process permits responses that can be effectively advanced or retarded in time with respect to one of the fields. There is an analogy to a generalized Raman-scattering effect, permitting both red and blueshifts of short pulses. We expect this capability to have many applications in short-pulse generation and propagation, such as the compensation of Raman-induced effects and high-quality pulse compression, which we discuss.

© 2004 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.2640) Nonlinear optics : Stimulated scattering, modulation, etc.
(190.5650) Nonlinear optics : Raman effect
(190.7110) Nonlinear optics : Ultrafast nonlinear optics
(320.5520) Ultrafast optics : Pulse compression

Fatih Ö. Ilday, Kale Beckwitt, Yi-Fan Chen, Hyungsik Lim, and Frank W. Wise, "Controllable Raman-like nonlinearities from nonstationary, cascaded quadratic processes," J. Opt. Soc. Am. B 21, 376-383 (2004)

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  1. G. I. Stegeman, R. Schiek, L. Torner, W. Torruellas, Y. Baek, D. Baboiu, Z. Wang, E. Van Stryland, D. J. Hagan, and G. Assanto, “Cascading: a promising approach to nonlinear optical phenomena,” in Novel Optical Materials and Applications, I. C. Khoo, F. Simoni, and C. Umeton, eds. (Wiley, New York, 1997), Chap. 2, pp. 49–76.
  2. C. R. Menyuk, R. Schiek, and L. Torner, “Solitary waves due to χ(2)(2) cascading,” J. Opt. Soc. Am. B 11, 2434–2443 (1994). [CrossRef]
  3. A. Kobyakov, E. Schmidt, and F. Lederer, “Effect of group-velocity mismatch on amplitude and phase modulation of picosecond pulses in quadratically nonlinear media,” J. Opt. Soc. Am. B 14, 3242–3252 (1997). [CrossRef]
  4. H. J. Bakker, P. C. M. Planken, L. Kuipers, and A. Lagendijk, “Phase modulation in second-order nonlinear optical processes,” Phys. Rev. A 42, 4085–4101 (1990). [CrossRef] [PubMed]
  5. X. Liu, L. J. Qian, and F. W. Wise, “High-energy pulse compression by use of negative phase shifts produced by the cascade χ(2)(2) nonlinearity,” Opt. Lett. 24, 1777–1779 (1999). [CrossRef]
  6. F. Wise, L. Qian, and X. Liu, “Applications of cascaded quadratic nonlinearities to femtosecond pulse generation,” J. Nonlinear Opt. Phys. Mater. 11, 317–338 (2002). [CrossRef]
  7. S. Carrasco, J. P. Torres, L. Torner, and F. W. Wise, “Walk-off acceptance for quadratic soliton generation,” Opt. Commun. 191, 363–370 (2001). [CrossRef]
  8. L. J. Qian, X. Liu, and F. W. Wise, “Femtosecond Kerr-lens mode locking with negative nonlinear phase shifts,” Opt. Lett. 24, 166–168 (1999). [CrossRef]
  9. K. Beckwitt, F. W. Wise, L. Qian, L. A. Walker, and E. Canto-Said, “Compensation for self-focusing by use of cascade quadratic nonlinearity,” Opt. Lett. 26, 1696–1698 (2001). [CrossRef]
  10. P. Di Trapani, W. Chinglia, S. Minardi, A. Piskarskas, and G. Valiulis, “Observation of quadratic optical vortex solitons,” Phys. Rev. Lett. 84, 3843–3846 (2000). [CrossRef] [PubMed]
  11. P. Pioger, V. Couderc, L. Lefort, A. Barthelemy, F. Baronio, C. De Angelis, Y. Min, V. Quiring, and W. Sohler, “Spatial trapping of short pulses in Ti-indiffused LiNbO3 waveguides,” Opt. Lett. 27, 2182–2184 (2002). [CrossRef]
  12. A. A. Kanashov and A. M. Rubenchik, “On diffraction and dispersion effect on three-wave interaction,” Physica D 4, 122–134 (1981). [CrossRef]
  13. J. P. Torres and L. Torner, “Self-splitting of beams into spatial solitons in planar waveguides made of quadratic nonlinear media,” Opt. Quantum Electron. 29, 757–776 (1997). [CrossRef]
  14. H. H. Chen, Y. C. Lee, and C. S. Liu, “Integrability of nonlinear Hamiltonian systems by inverse scattering method,” Phys. Scr. 20, 490–492 (1979). [CrossRef]
  15. A. Kundu, “Landau–Lifshitz and higher-order nonlinear systems gauge generated from nonlinear Schrödinger-type equations,” J. Math. Phys. 25, 3433–3438 (1984). [CrossRef]
  16. G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1995).
  17. X. Liu, K. Beckwitt, and F. W. Wise, “Two-dimensional optical spatiotemporal solitons in quadratic media,” Phys. Rev. E 62, 1328–1340 (2000). [CrossRef]
  18. O. Bang, W. Krolikowski, J. Wyller, and J. Rasmussen, “Collapse arrest and soliton stabilization in nonlocal nonlinear media,” Phys. Rev. E 66, 046619 (2002). [CrossRef]
  19. W. Krlikowski, O. Bang, J. Wyller, and J. J. Rasmussen, “Optical beams in nonlocal nonlinear media,” Acta Phys. Pol. A 103, 133–148 (2003).
  20. P. T. Dinda, K. Nakkeean, and A. Labruyere, “Suppression of soliton self-frequency shift by upshifted filtering,” Opt. Lett. 27, 382–384 (2002). [CrossRef]
  21. A. Galvanauskas, “Mode-scalable fiber-based chirped-pulse amplification systems,” IEEE J. Sel. Top. Quantum Electron. 7, 504–517 (2001). [CrossRef]
  22. M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-phase-matched second-harmonic generation: tuning and tolerances,” IEEE J. Quantum Electron. 28, 2631–2654 (1992). [CrossRef]
  23. F. Ö. Ilday and F. W. Wise, “Nonlinearity management: a route to high-energy soliton fiber lasers,” J. Opt. Soc. Am. B 19, 470–476 (2002), and references therein. [CrossRef]
  24. C. Xu and X. Liu, “Photonic analog-to-digital converter using soliton self-frequency shift and interleaving spectral filters,” Opt. Lett. 28, 986–988 (2003). [CrossRef] [PubMed]
  25. S. Ashihara, J. Nishina, T. Shimura, and K. Kuroda, “Soliton compression of femtosecond pulses in quadratic media,” J. Opt. Soc. Am. B 19, 2505–2510 (2002). [CrossRef]
  26. P. Beaud, W. Hodel, B. Zysset, and H. P. Weber, “Ultrashort pulse propagation, pulse breakup, and fundamental soliton formation in a single-mode optical fiber,” IEEE J. Quantum Electron. QE-23, 1938–1946 (1987). [CrossRef]

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