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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 5 — Mar. 5, 2007
  • pp: 2499–2516

Analyzing multilayer optical waveguide with all nonlinear layers

Chih-Wen Kuo, Shih-Yuan Chen, Mao-Hsiung Chen, Chih-Fu Chang, and Yaw-Dong Wu  »View Author Affiliations


Optics Express, Vol. 15, Issue 5, pp. 2499-2516 (2007)
http://dx.doi.org/10.1364/OE.15.002499


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Abstract

We propose a general method for analyzing a multilayer optical waveguide with all nonlinear layers. This general method can be degenerated into some special cases, such as symmetric or asymmetric nonlinear optical waveguide structures, the intensity-dependent refractive index with self-focusing nonlinear medium, hollow waveguides, and multilayer systems. Based on this general method, the analysis and calculation of complicated multilayer optical planar waveguides can be achieved easily. The analytical and numerical results show excellent agreement.

© 2007 Optical Society of America

OCIS Codes
(130.2790) Integrated optics : Guided waves
(190.0190) Nonlinear optics : Nonlinear optics
(190.3270) Nonlinear optics : Kerr effect
(230.1150) Optical devices : All-optical devices
(230.4170) Optical devices : Multilayers
(230.7390) Optical devices : Waveguides, planar

ToC Category:
Nonlinear Optics

History
Original Manuscript: September 28, 2006
Revised Manuscript: February 6, 2007
Manuscript Accepted: February 20, 2007
Published: March 5, 2007

Citation
Chih-Wen Kuo, Shih-Yuan Chen, Mao-Hsiung Chen, Chih-Fu Chang, and Yaw-Dong Wu, "Analyzing multilayer optical waveguide with all nonlinear layers," Opt. Express 15, 2499-2516 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-5-2499


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References

  1. K. Yamada, H. Fukuda, T. Tsuchizawa, T. Watanabe, T. Shoji, and S. Itabashi, "All-optical efficient wavelength conversion using silicon photonic wire waveguide," IEEE Photonics Technol. Lett. 18, 1046-1048 (2006). [CrossRef]
  2. Y. D. Wu, "New all-optical switch based on the spatial soliton repulsion," Opt. Express 14, 4005-4012 (2006). [CrossRef] [PubMed]
  3. Y. D. Wu, "All-optical logic gates by using multibranch waveguide structure with localized optical nonlinearity," IEEE J. Sel. Top. Quantum Electron. 11, 307-312 (2005). [CrossRef]
  4. J.-G. Ma and I. Wolff, "Propagation characteristics of TE-wave guided by thin films bounded by nonlinear media," IEEE Trans. Microw. Theory Tech. 43, 790-795 (1995). [CrossRef]
  5. T. Rozzi, "Modal analysis of nonlinear propagation in dielectric slab waveguide," J. Lightwave Technol. 14, 229-234 (1996). [CrossRef]
  6. R. W. Micallef, Y. S. Kivshar, J. D. Love, D. Burak, and R. Binder, "Generation of spatial solitons using non-linear guided modes," Opt. Quantum Electron. 30, 751-770 (1998). [CrossRef]
  7. C. T. Seaton, J. D. Valera, R. L. Shoemaker, G. I. Stegeman, J. T. Chilwell, and S. D. Smith, "Calculations of nonlinear TE waves guided by thin dielectric films bounded by nonlinear media," IEEE J. Quantum Electron. 21, 774-783 (1985). [CrossRef]
  8. G. I. Stegeman, C. T. Seaton, J. Chilwell, and S. D. Smith, "Nonlinear waves guided by thin films," Appl. Phys. Lett. 44, 830-832 (1984). [CrossRef]
  9. J. G. Ma and I. Wolff, "TE wave properties of slab dielectric guide bounded by nonlinear non-Kerr-like media," IEEE Trans. Microw. Theory Tech. 44, 730-738 (1996). [CrossRef]
  10. A. D. Boardman and P. Egan, "Optically nonlinear waves in thin films," IEEE J. Quantum Electron. 22, 319-324 (1986). [CrossRef]
  11. A. D. Boardman and P. Egan, "S-polarized waves in a thin dielectric film asymmetrically bounded by optically nonlinear media," IEEE J. Quantum Electron. 21, 1701-1713 (1985). [CrossRef]
  12. S. W. Kang, "Optical slab waveguides of Kerr material with linear profile," Opt. Commun. 174, 127-131 (2000). [CrossRef]
  13. W. Chen and A. A. Maradudin, "S-polarized guided and surface electromagnetic waves supported by a nonlinear dielectric film," J. Opt. Soc. Am. B 5, 529-538 (1988). [CrossRef]
  14. Y. F. Li and K. Iizuka, "Unified nonlinear waveguide dispersion equation without spurious roots," IEEE J. Quantum Electron. 31, 791-794 (1995). [CrossRef]
  15. S. Okafuji, "Propagation characteristics of TE0 waves in three-layer optical waveguides with self focusing and self defocusing nonlinear layers," IEEE Proceedings-J 140, 127-136 (1993).
  16. R. A. Sammut, C. Pask, and Q. Y. Li, "Theoretical study of spatial solitons in planar waveguides," J. Opt. Soc. Am. B 10, 485-491 (1993). [CrossRef]
  17. K. S. Chiang and R. A. Sammut, "Effective-index method for spatial solitons in planar waveguides with Kerr-type nonlinearity," J. Opt. Soc. Am. B 10, 704-708 (1993). [CrossRef]
  18. H. W. Schürmann," On the theory of TE-polarized waves guided by a nonlinear three-layer structure," Z. Phys. B 97, 515-522 (1995). [CrossRef]
  19. T. T. Shi and S. Chi, "Nonlinear TE-wave propagation in a symmetric, converging, single-mode Y-junction waveguide," J. Opt. Soc. Am. B 9, 1338-1340 (1992). [CrossRef]
  20. G. I. Stegeman, E. M. Wright, N. Finalyson, R. Zanoni, and C. T. Seaton, "Third order nonlinear integrated optics," J. Lightwave Technol. 6, 953-970 (1988). [CrossRef]
  21. S. Y. Shin, E. M. Wright, and G. I. Stegeman, "Nonlinear TE waves of coupled waveguides bounded by nonlinear media," J. Lightwave Technol. 6, 977-983 (1988). [CrossRef]
  22. T. Sakakibara and N. Okamoto, "Nonlinear TE waves in a dielectric slab waveguide with two optically nonlinear layers," IEEE J. Quantum Electron. 23, 2084-2088 (1987). [CrossRef]
  23. J. S. Jeong, C. H. Kwak, and E. H. Lee, "Optical properties of TE nonlinear waves in planar waveguides with two nonlinear bounding layers," Opt. Commun. 116, 351-357 (1995). [CrossRef]
  24. S. Radic, N. George, and G. P. Agrawal, "Optical switching in λ/4-shifted nonlinear periodic structures," Opt. Lett. 19, 1789-1791 (1994). [CrossRef] [PubMed]
  25. S. Radic, N. George, and G. P. Agrawal, "Theory of low-threshold optical switching in nonlinear phase-shifted periodic structures," J. Opt. Soc. Am. B 12, 671-680 (1995). [CrossRef]
  26. S. Radic, N. George, and G. P. Agrawal, "Analysis of nonuniform nonlinear distributed feedback structures: generalized transfer matrix method," IEEE J. Quantum Electron. 31, 1326-1336 (1995) [CrossRef]
  27. U. Ttrutschel, F. Lederer, and M. Golz, "Nonlinear guided waves in multilayer systems," IEEE J. Quantum Electron. 25, 194-200 (1989). [CrossRef]
  28. K. Ogusu, "Analysis of nonlinear multilayer waveguides with Kerr-like permittivities," Opt. Quantum Electron. 21, 109-116 (1989). [CrossRef]
  29. S. She and S. Zhang, "Analysis of nonlinear TE waves in a periodic refractive index waveguide with nonlinear caldding," Opt. Commun. 161, 141-148 (1999). [CrossRef]
  30. M. H. Chen and Y. D. Wu, "A general method for analyzing the multi-layer planar waveguide," Fiber Integr. Opt. 11, 159-176 (1992). [CrossRef]
  31. Y. D. Wu, M. H. Chen, and H. J. Tasi, "Analyzing multilayer optical waveguides with nonlinear cladding and substrates," J. Opt. Soc. Am. B 19, 1737-1745 (2002). [CrossRef]
  32. Y. D. Wu, "Analyzing multilayer optical waveguides with a localized arbitrary nonlinear guiding film," IEEE J. Quantum Electron. 40, 529-540 (2004). [CrossRef]
  33. Y. D. Wu and M. H. Chen, "Method for analyzing multilayer nonlinear optical waveguide," Opt. Express 13, 7982-7995 (2005). [CrossRef] [PubMed]
  34. N. Saiga, "Calculation of TE modes in graded-index nonlinear optical waveguides with arbitrary profile of refractive index," J. Opt. Soc. Am. B 8, 88-94 (1991). [CrossRef]
  35. Y. D. Wu, "Nonlinear all-optical switching device by using the spatial soliton collision," Fiber Integr. Opt. 23, 387-404 (2004). [CrossRef]
  36. Y. D. Wu, "Coupled-soliton all-optical logic device with two parallel tapered waveguides," Fiber Integr. Opt. 23, 405-414 (2004). [CrossRef]
  37. Y. D. Wu, "New all-optical wavelength auto-router based on spatial solitons," Opt. Express 12, 4172-4177 (2004). [CrossRef] [PubMed]
  38. W. Huang, C. Xu, S. T. Chu, and S. K. Chaudhuri, "The finite-difference vector beam propagation method: analysis and assessment," J. Lightwave Technol. 10, 295-305 (1992). [CrossRef]
  39. W. K. Burns and A. F. Milton, "Mode conversion in planar-dielectric separating waveguides," IEEE J. Quantum Electron. 11, 32-39 (1975). [CrossRef]
  40. M. Izutsu, Y. Nakai, and T. Sueta, "Operation mechanism of the single-mode optical-waveguide Y junction," Opt. Lett. 7, 136-138 (1982). [CrossRef] [PubMed]
  41. M. O. Twati and T. J. F Pavlasek, "A three-wavelength Mach-Zehnder optical demultiplexer by on step ion-exchange in glass," Opt. Commun. 206, 327-332 (2002). [CrossRef]
  42. H. Yokota, K. Kimura, and S. Kurazono, "Numerical analysis of an optical X coupler with a nonlinear dieletric region," IEICE Trans. Electron. E78-C, 61-66 (1995).
  43. Y. S. Yong, A. L. Low, S. F. Chien, A. H. You, H. Y. Wong, and Y. K. Chan, "Design and analysis of equal power divider using 4-branch waveguide," IEEE J. Quantum Electron. 41, 1181-1187 (2005). [CrossRef]
  44. G. I. Stegeman and D. N. Christodoulides, and M. Segev, "Optical spatial solitons: historical perspectives," IEEE J. Sel. Top. Quantum Electron. 6, 1419-1427 (2000). [CrossRef]

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