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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Grover Swartzlander
  • Vol. 30, Iss. 8 — Aug. 1, 2013
  • pp: 2100–2106

Soliton propagation with cross-phase modulation in silicon photonic crystal waveguides

Matthew Marko, Xiujian Li, and Jiangjun Zheng  »View Author Affiliations

JOSA B, Vol. 30, Issue 8, pp. 2100-2106 (2013)

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An effort was conducted to numerically determine, by the nonlinear Schrödinger split-step Fourier method, whether using cross-phase modulation (XPM) could cause temporal soliton pulse propagation in a silicon slow-light photonic crystal waveguide (PhCWG) shorter than a millimeter. The simulations demonstrated that, because of the higher powers and shorter scales of photonic crystals, two-photon absorption (TPA) would cause an optical soliton pulse to be extremely dissipative. The model demonstrated, however, that by utilizing XPM, it is possible to sustain a compressed soliton pulse within a silicon PhCWG subjected to TPA over longer relative distances.

© 2013 Optical Society of America

OCIS Codes
(190.4720) Nonlinear optics : Optical nonlinearities of condensed matter
(350.4238) Other areas of optics : Nanophotonics and photonic crystals

ToC Category:
Ultrafast Optics

Original Manuscript: April 5, 2013
Revised Manuscript: June 21, 2013
Manuscript Accepted: June 22, 2013
Published: July 15, 2013

Matthew Marko, Xiujian Li, and Jiangjun Zheng, "Soliton propagation with cross-phase modulation in silicon photonic crystal waveguides," J. Opt. Soc. Am. B 30, 2100-2106 (2013)

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  1. G. P. Agrawal, Nonlinear Fiber Optics, 4th ed. (Academic, 2007).
  2. B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics, 2nd ed. (Wiley-Interscience, 2007).
  3. M. Sadiku, Numerical Techniques in Electromagnetics, 2nd ed. (CRC Press, 2001).
  4. T.-C. Poon and T. Kim, Engineering Optics with MATLAB (World Scientific, 2006).
  5. J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals, Molding the Flow of Light, 2nd ed. (Princeton University, 2008).
  6. N. C. Panoiu, J. F. McMillan, and C. W. Wong, “Influence of the group-velocity on the pulse propagation in 1D silicon photonic crystal waveguides,” Appl. Phys. A 103, 835–838 (2011). [CrossRef]
  7. P. Colman, C. Husko, S. Combrié, I. Sagnes, C. W. Wong, and A. De Rossi, “Temporal solitons and pulse compression in photonic crystal waveguides,” Nat. Photonics 4, 862–868 (2010). [CrossRef]
  8. C. A. Husko, A. De Rossi, and C. W. Wong, “Effect of multi-photon absorption and free carriers on self-phase modulation in slow-light photonic crystals,” Opt. Lett. 36, 2239–2241 (2011). [CrossRef]
  9. R. S. Tucker, “The role of optics in computing,” Nat. Photonics 4, 405 (2010). [CrossRef]
  10. S. Paley, “Now just a blinkin’ picosecond!” Apr.28, 2000, http://science.nasa.gov/science-news/science-at-nasa/2000/ast28apr_1m/ .
  11. J. F. McMillan, M. Yu, D.-L. Kwong, and C. W. Wong, “Observations of four-wave mixing in slow-light silicon photonic crystal waveguides,” Opt. Express 18, 15484–15497 (2010). [CrossRef]
  12. Q. Lin, O. J. Painter, and G. P. Agrawal, “Nonlinear optical phenomena in silicon waveguides: modeling and applications,” Opt. Express 15, 16604–16644 (2007). [CrossRef]
  13. D. Tan, P. Sun, and Y. Fainman, “Monolithic nonlinear pulse compressor on a silicon chip,” Nat. Commun.116 (2010).
  14. W. Ding, A. V. Gorbach, W. J. Wadswarth, J. C. Knight, D. V. Skryabin, M. J. Strain, M. Sorel, and R. M. De La Rue, “Time and frequency domain measurements of solitons in subwavelength silicon waveguides using a cross-correlation technique,” Opt. Express 18, 26625–26630 (2010). [CrossRef]
  15. M. Notomi, A. Shinya, S. Mitsugi, E. Kuramochi, and H. Ryu, “Waveguides, resonators and their coupled elements in photonic crystal slabs,” Opt. Express 12, 1551–1561 (2004). [CrossRef]
  16. T. Gu, N. Petrone, J. F. McMillan, A. Van der Zande, M. Yu, G. Q. Lo, D. L. Kwong, J. Hone, and C. W. Wong, “Regenerative oscillation and four-wave mixing in graphene optoelectronics,” Nat. Photonics 6, 554–559 (2012). [CrossRef]
  17. M. Dinu, F. Quochi, and H. Garcia, “Third-order nonlinearities in silicon at telecom wavelengths,” Appl. Phys. Lett. 82, 2954–2956 (2003). [CrossRef]
  18. R. K. Nagle, E. B. Saff, and A. D. Snider, Fundamentals of Differential Equations and Boundary Value Problems, 5th ed. (Addison Wesley, 1999).
  19. R. Haberman, Applied Partial Differential Equations, with Fourier Series and Boundary Value Problems, 4th ed. (Pearson Prentice-Hall, 2004).
  20. C. Kittel, Introduction to Solid State Physics, 8th ed. (Wiley, 2004).
  21. H. Garcia and R. Kalyanaraman, “Phonon-assisted two-photon absorption in the presence of a dc-field: the nonlinear Franz–Keldysh effect in indirect gap semiconductors,” J. Phys. B 39, 2737–2746 (2006).
  22. X. Yang and C. W. Wong, “Coupled-mode theory for stimulated Raman scattering in high-Q/Vm photonic bandgap defect cavity lasers,” Opt. Express 15, 4763–4780 (2007). [CrossRef]
  23. A. C. Turner-Foster, M. A. Foster, J. S. Levy, C. B. Poitras, R. Salem, A. L. Gaeta, and M. Lipson, “Ultrashort free-carrier lifetime in low-loss silicon nanowaveguides,” Opt. Express 18, 3582–3591 (2010). [CrossRef]
  24. “Two-photon absorption,” RP Photonics Encyclopedia, http://www.rp-photonics.com/two_photon_absorption.html .
  25. I-W. Hsieh, X. Chen, J. I. Dadap, N. C. Panoiu, R. M. Osgood, S. J. McNab, and Y. A. Vlasov, “Cross-phase modulation-induced spectral and temporal effects on co-propagating femtosecond pulses in silicon photonic wires,” Opt. Express 15, 1135–1146 (2007). [CrossRef]
  26. E. Slusher, Nonlinear Photonic Crystals (Springer, 2003).
  27. “Synchronously pumped OPO,” PP Automatic. OPO PP Auto Manual No. 122970 [Angewandte Physik and Elektronik (APE) GmbH].
  28. R. Paschotta, “Optical parametric oscillators,” RP Photonics Encyclopedia, http://www.rp-photonics.com/optical_parametric_oscillators.html .
  29. Coherent, Operator’s Manual, The Coherent Mira Optima 900-P Laser.

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