OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 20 — Oct. 3, 2005
  • pp: 7982–7996

Method for analyzing multilayer nonlinear optical waveguide

Yaw-Dong Wu and Mao-Hsiung Chen  »View Author Affiliations

Optics Express, Vol. 13, Issue 20, pp. 7982-7996 (2005)

View Full Text Article

Enhanced HTML    Acrobat PDF (320 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We propose a novel method for analyzing a multilayer optical waveguide structure with all nonlinear guiding films. This method can also be used to analyze a multibranch optical waveguide structure with all nonlinear guiding branches. The results show that agreement between theory and numerics is excellent.

© 2005 Optical Society of America

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

ToC Category:
Research Papers

Original Manuscript: July 15, 2005
Revised Manuscript: September 19, 2005
Published: October 3, 2005

Yaw-Dong Wu and Mao-Hsiung Chen, "Method for analyzing multilayer nonlinear optical waveguide," Opt. Express 13, 7982-7996 (2005)

Sort:  Journal  |  Reset  


  1. G. I. Stegeman, C. T. Seaton, J Chilwell, and S. D. Smith, �??Nonlinear waves guided by thin films,�?? Apply. Phys. Lett. 44, 830 (1984). [CrossRef]
  2. A. D. Boardman and P. Egan, �??Optically nonlinear waves in thin films,�?? IEEE J. Quantum Electron. 22, 319 (1986). [CrossRef]
  3. A. D. Boardman and P. Egan, �??Nonlinear surface and guided polaritions of a general layered dielectric structure,�?? J. Phys. Colloq. C5, 291 (1984).
  4. N. N. Akhmediev, �??Novel class of nonlinear surface waves: Asymmetric modes in a symmetric layered structure,�?? Sov. Phys. �??JETP. 56, 299 (1982).
  5. F. Lederer, U. Langbein, and H. E. Ponath. �??Nonlinear waves guided by a dielectric slab,�?? Appl. Phys. B. 31, 187 (1983). [CrossRef]
  6. U. Langbein, F. Lederer, H.-E. Ponath, and U. Trutschel, �??Dispersion relations for nonlinear guided waves,�?? J. Mol. Struct. 115, 493 (1984). [CrossRef]
  7. D. Mihalache and H. Totia, �??S-polarized nonlinear surface and guided waves in an asymmetric layered structure,�?? Rev. Roumaine Phys. 29, 365 (1984).
  8. D. J. Robbins, �??TE modes in a slab waveguide bounded by nonlinear media,�?? Opt. Commun. 47, 309 (1983). [CrossRef]
  9. U. Langbein, F. Lederer, and H. E. Ponath, �??A new type of nonlinear slab-guided wave,�?? Opt. Commun. 46, 167 (1983). [CrossRef]
  10. F. Fedyanin and D. Mihalache, �??P-poiarized nonlinear surface polaritons in layered structures,�?? Z. Phys. B. 47, 167 (1982). [CrossRef]
  11. A. A. Maradudin, �??Nonlinear surface electromagnetic waves,�?? in Proc. 2nd Int. School Condensed Matter Phys., Varna, Bulgaria, Singapore: World Scientific (1983).
  12. D. Mihalache, R. G. Nazmitdinov, and V. K. Fedyanin, �??P-polarized nonlinear surface waves in symmetric layered structures.�?? Phys. Scripta. 29, 269 (1984). [CrossRef]
  13. A. E. Kaplan, �??Theory of hysteresis reflection and refraction of light by a boundary of a nonlinear medium,�?? Sov. Phys.-JETP. 45, 896 (1977).
  14. S. She and S. Zhang, �??Analysis of nonlinear TE waves in a periodic refractive index waveguide with nonlinear cladding,�?? Opt. Commmun. 161, 141 (1999). [CrossRef]
  15. Y. D. Wu, M. H. Chen, and H. J. Tasi, �??A General Method for Analyzing the Multilayer Optical Waveguide with Nonlinear Cladding and Substrate�??, SPIE Design, Fabrication, and Characterization of Photonic Dervice II, 4594. 323 (2001).
  16. Y. D. Wu and M. H. Chen, �??Analyzing multilayer optical waveguides with nonlinear cladding and substrates,�?? J. Opt. Soc. Am. B. 19, 1737, (2002). [CrossRef]
  17. Y. D. Wu and M. H. Chen, �??The fundamental theory of the symmetric three layer nonlinear optical waveguide structures and the numerical simulation,�?? J. Nat. Kao. Uni. of App. Sci., 32. 133 (2002).
  18. M. H. Chen, Y. D. Wu, and R. Z. Tasy, �??Analyses of antisymmetric modes of three-layer nonlinear optical waveguide,�?? J. Nat. Kao. Uni. of App. Sci., 34. 1 (2005)
  19. H. Murata, M. Izutsu, and T. Sueta, �??Optical bistability and all-optical switching in novel waveguide junctions with localized optical nonlinearity,�?? J. Lightwave Technol. 16, 833 (1998). [CrossRef]
  20. Y. D. Wu, �??Analyzing multilayer optical waveguides with a localized arbitrary nonlinear guiding film,�?? IEEE J. Quantum Electron. 40, 529 (2004). [CrossRef]
  21. Y. D. Wu and D. H. Cai, �??Analytical and numerical analyses of TE-polarized waves in the planar optical waveguides with the nonlinear guiding film,�?? J. Eng. Tech. and Edu. 1 , 19 (2004).
  22. Yi-Fan Li and Keigo Iizuka, �??Unified Nonlinear Waveguide Dispersion Equations withtour Spurious Roots,�?? IEEE J. Quantum. Electron. 31, 791 (1995). [CrossRef]
  23. M. Cada, R. C. Gauthior, B. A. Paton, and J. Chrostowski, �??Nonlinear guided waves coupled nonlinearly in a planar GaAs/GaAlAs multiple-quantum-well structure,�?? Appl. Phys. Lett. 49, 755 (1986). [CrossRef]
  24. T. H. Wood, �??Multiple-quantum-well (MQW) waveguided modulator,�?? J. Lightwave Technol. 6, 743 (1988). [CrossRef]
  25. G. I. Stegeman, E. M. Wright, N. Finlayson, R. Zanoni, and C. T. Seaton, �??Third order nonlinear integrated moptics,�?? J. Lightwave Technol. 6, 953 (1988). [CrossRef]
  26. S. R. Cvetkovic and A. P. Zhao, �??Finite-element formalism for linear and nonlinear guided waves in multiple-quantum-well waveguides,�?? J. Opt. Soc. Amer. B. 10, 1401 (1993). [CrossRef]
  27. S. Selleri and M. Zobol, �??Stability analysis of nonlinear TE polarized waves in multiple-quantum-well waveguides,�?? IEEE J. Quantum Electron. 31, 1785 (1995). [CrossRef]
  28. C. J. Hamiltoin, J. H. Marsh, D. C. Hutchings, J. S. Aitchison, G. T. Kennedy, and W. Sibbett, �??Localized Kerr-type nonlinearities in GaAs/AlGaAs multiple quantum well structure at 1.55µm,�?? Appl. Phys. Lett. 68, 3078 (1996). [CrossRef]
  29. C. Rigo, L. Gastaldi, D. Campi, L. Faustini, C. Coriasso, C. Cacciatore and D. Sholdani, �??Multiple quantum well compressive strained heterostructures for low driving power all-optical waveguide switches,�?? J. Crystal. Growth. 188, 317 (1998). [CrossRef]
  30. Y. D. Wu, M. H. Chen, and C. H. Chu, �??All-optical logic device using bent nonlinear tapered Y-junction waveguide structure,�?? Fiber and Integrated Optics. 20, 517 (2001).
  31. Y. D. Wu, �??Nonlinear all-optical switching device by using the spatial soliton collision,�?? Fiber and Integrated Optics. 23, 387 (2004). [CrossRef]
  32. Y. D. Wu, �??New all-optical wavelength auto-router based on spatial solitons,�?? Opt. Express. 12, 4172 (2004). <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-18-4172">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-18-4172</a> [CrossRef] [PubMed]
  33. Y. D. Wu, Y. F. Laio, M. H. Chen, and K. H. Chiang, �??Nonlinear all-optical phase and power-controlled switch by using the spatial solitons interaction,�?? SPIE. Bellingham. WA. 5646, 334 (2005).
  34. Y. D. Wu, Y. F. Laio, M. H. Chen, and K. H. Chiang, �??A new all-optical phase-controlled routing switch,�?? SPIE. Bellingham. WA. 5646, 345 (2005).
  35. Y. D. Wu, �??1�?N all-optical switching device by using the phase modulation of spatial solitons,�?? Applied. Optics. 44,4144(2005). [CrossRef] [PubMed]
  36. Y. D. Wu, �??All-optical logic gates by using multibranch waveguide structure with localized optical nonlinearity,�?? IEEE J. Sel. Top. Quantum. Electron. 11, 307 (2005). [CrossRef]
  37. T. Yabu, M. Geshiro, T. Kitamura, K. Nishida, and S. Sawa, �??All-optical logic gates containing a two-mode nonlinear waveguide,�?? IEEE J. Quantum. Electron. 38, 37 (2002). [CrossRef]
  38. F. Garzia, and M. Bertolotti, �??All-optical security coded key,�?? Opt. Quantum. Electron. 33, 527, (2001). [CrossRef]
  39. Y. H. Pramono, and Endarko, �??Nonlinear waveguides for optical logic and computation,�?? J. Nonlinear Opt. Phys. Mater. 10, 209 (2001). [CrossRef]
  40. W. K. Burns, and A. F. Milton, �??Mode conversion in planar dielectric separating waveguide,�?? IEEE J. Quantum. Electron. 11, 32 (1975). [CrossRef]
  41. D. Marcuse, �??Radiation losses of tapered dielectric slab wave-guides,�?? Bell Syst; Tech. J., 49, 273, (1970). [PubMed]
  42. C. T. Seaton, J. D. Valera, R. L. Shoemaker, G. I. Stegeman, J. T. Chilwell, and D. Smith, �??Calculations of nonlinear TE waves guided by thin dielectric films bounded by nonlinear media,�?? IEEE J. Quantum. Electron. 21, 774, (1985). [CrossRef]
  43. C. T. Seaton, X. Mai, G. I. Stegeman, N. G. Winful, �??Nonlinear guided wave applications,�?? Opt. Eng., 24, 593 (1985).
  44. H. Vach, G. I. Stegeman, C. T. Seaton, and I. C. Khoo, �??Experimental observation of nonlinear guided waves,�?? Opt. Lett. 9, 238 (1984). [CrossRef] [PubMed]
  45. H. F. Chou, C. F. Lin, and G. C. Wang, �??An Interative Finite Difference Beam Propagation Method for Modeling Second-Order Nonlinear Effects in Optical Waveguides,�?? J. Lightwave. Technol. 16, 1686 (1998). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited