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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 15, Iss. 3 — Mar. 1, 1998
  • pp: 964–971

Cross-phase modulation phenomena in strongly guiding waveguides: a theoretical approach revisited

Marie Fontaine  »View Author Affiliations

JOSA B, Vol. 15, Issue 3, pp. 964-971 (1998)

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The theoretical approach recently proposed for investigating cross-phase modulation phenomena in weakly guiding waveguides with an arbitrary cross section is revisited. The unidirectional propagation equation is reformulated so that it becomes possible to precisely investigate the evolution of the polarization state in both weakly and strongly guiding devices. For [100]-oriented AlGaAs asymmetric waveguides, it is seen that interaction between the linear and nonlinear birefringences depends on the relative position of the slow axis of the device with respect to the 45° polarization-maintaining axis in the bulk medium. The design of an AlGaAs active polarization converter with a length of 3 cm and an effective area of 6 μm2 and that enables a quasi-total TE–TM conversion when using a peak power of 63 W is proposed.

© 1998 Optical Society of America

OCIS Codes
(170.4090) Medical optics and biotechnology : Modulation techniques
(190.0190) Nonlinear optics : Nonlinear optics
(230.7380) Optical devices : Waveguides, channeled
(260.1180) Physical optics : Crystal optics

Marie Fontaine, "Cross-phase modulation phenomena in strongly guiding waveguides: a theoretical approach revisited," J. Opt. Soc. Am. B 15, 964-971 (1998)

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  1. M. Fontaine, “Theoretical approach to investigating cross-phase modulation phenomena in waveguides with an arbitrary cross section,” J. Opt. Soc. Am. B 14, 1444–1452 (1997). [CrossRef]
  2. V. P. Tzolov and M. Fontaine, “A passive polarization converter free of longitudinally-periodic structure,” Opt. Commun. 127, 7–13 (1996). [CrossRef]
  3. A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman & Hall, New York, 1983).
  4. A. W. Snyder and X.-H. Zheng, “Optical fibers of arbitrary cross sections,” J. Opt. Soc. Am. A 3, 600–609 (1986). [CrossRef]
  5. G. I. Stegeman, A. Villeneuve, J. Kang, J. S. Aitchison, C. N. Ironside, K. Al-Hemyari, C. C. Yang, C.-H. Lin, H.-H. Lin, G. T. Kennedy, R. S. Grant, and W. Sibbett, “AlGaAs below half bandgap: the silicon of nonlinear optical materials,” Int. J. Nonlinear Opt. Phys. 3, 347–371 (1994). [CrossRef]
  6. D. C. Hutchings, “Nonlinear-optical activity owing to anisotropy of ultrafast nonlinear refraction in cubic materials,” Opt. Lett. 20, 1607–1609 (1995). [CrossRef] [PubMed]
  7. D. C. Hutchings, J. S. Aitchison, B. S. Wherrett, G. T. Kennedy, and W. Sibbett, “Polarization dependence of ultrafast nonlinear refraction in an AlGaAs waveguide at the half-band gap,” Opt. Lett. 20, 991–993 (1995). [CrossRef] [PubMed]
  8. D. C. Hutchings and B. S. Wherrett, “Theory of the anisotropy of ultrafast nonlinear refraction in zinc-blende semiconductors,” Phys. Rev. B 52, 8150–8159 (1995). [CrossRef]
  9. V. P. Tzolov, M. Fontaine, N. Godbout, and S. Lacroix, “Nonlinear self-phase modulation effects: a vectorial first-order perturbation approach,” Opt. Lett. 20, 456–458 (1995). [CrossRef] [PubMed]
  10. A. Villeneuve, J. S. Aitchison, B. Vögele, R. Tapella, J. U. Kang, C. Trevino, and G. I. Stegeman, “Waveguide design for minimum nonlinear area and switching energy in AlGaAs at half the bandgap,” Electron. Lett. 31, 549–551 (1995). [CrossRef]
  11. V. P. Tzolov and M. Fontaine, “Theoretical analysis of birefringence and form-induced polarization mode dispersion in birefringent optical fibers: a full-vectorial approach,” J. Appl. Phys. 77, 1–6 (1995). [CrossRef]
  12. V. P. Tzolov and M. Fontaine, “Nonlinear modal parameters of optical fibers: A full-vectorial approach,” J. Opt. Soc. Am. B 12, 1933–1941 (1995). [CrossRef]
  13. M. Fontaine, B. Wu, V. P. Tzolov, W. J. Bock, and W. Urbanczyk, “Theoretical and experimental analysis of thermal stress effects on modal polarization properties of highly birefringent optical fibers,” J. Lightwave Technol. 14, 585–591 (1996). [CrossRef]
  14. V. P. Tzolov, M. Fontaine, G. Sewell, and A. Dela⁁ge, “Full vectorial simulation for characterizing loss or gain in optical devices with an accurate and automated finite-element method,” Appl. Opt. 36, 622–628 (1997). [CrossRef] [PubMed]
  15. In Ref. 1 the symbol φ used in Section 3 and Table 1 refers to the orientation of the optical axis, making an angle less than 45° with the x⁁ axis. In Table 1 the angle the optical axis x⁁0 makes with x⁁, noted |φ| and equal to 39.7°, is then the angle |η| defined in this paper.
  16. J. S. Aitchison, D. C. Hutchings, J. U. Kang, G. I. Stegeman, and A. Villeneuve, “The nonlinear optical properties of AlGaAs at the half band gap,” IEEE J. Quantum Electron. 33, 341–348 (1997). [CrossRef]
  17. A. W. Snyder, D. J. Mitchell, and Y. S. Kivshar, “Unification of linear and nonlinear wave optics,” Mod. Phys. Lett. B 9, 1479–1506 (1995). [CrossRef]

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