Abstract

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

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  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).
  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).
  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).
  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).
  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).
  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).
  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).
    [CrossRef]
  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]
  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]
  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).
  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).
  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).
  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]

Appl. Phys. B. (1)

F. Lederer, U. Langbein, and H. E. Ponath. �??Nonlinear waves guided by a dielectric slab,�?? Appl. Phys. B. 31, 187 (1983).
[CrossRef]

Appl. Phys. Lett. (2)

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]

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]

Applied. Optics. (1)

Y. D. Wu, �??1�?N all-optical switching device by using the phase modulation of spatial solitons,�?? Applied. Optics. 44,4144(2005).
[CrossRef]

Apply. Phys. Lett. (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).

Bell Syst; Tech. J. (1)

D. Marcuse, �??Radiation losses of tapered dielectric slab wave-guides,�?? Bell Syst; Tech. J., 49, 273, (1970).

Fiber and Integrated Optics. (2)

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).
[CrossRef]

Y. D. Wu, �??Nonlinear all-optical switching device by using the spatial soliton collision,�?? Fiber and Integrated Optics. 23, 387 (2004).
[CrossRef]

IEEE J. Quantum Electron. (3)

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]

Y. D. Wu, �??Analyzing multilayer optical waveguides with a localized arbitrary nonlinear guiding film,�?? IEEE J. Quantum Electron. 40, 529 (2004).
[CrossRef]

A. D. Boardman and P. Egan, �??Optically nonlinear waves in thin films,�?? IEEE J. Quantum Electron. 22, 319 (1986).
[CrossRef]

IEEE J. Quantum. Electron. (4)

Yi-Fan Li and Keigo Iizuka, �??Unified Nonlinear Waveguide Dispersion Equations withtour Spurious Roots,�?? IEEE J. Quantum. Electron. 31, 791 (1995).
[CrossRef]

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]

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]

W. K. Burns, and A. F. Milton, �??Mode conversion in planar dielectric separating waveguide,�?? IEEE J. Quantum. Electron. 11, 32 (1975).
[CrossRef]

IEEE J. Sel. Top. Quantum. Electron. (1)

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).

J. Crystal. Growth. (1)

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).

J. Eng. Tech. and Edu. (1)

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).

J. Lightwave Technol. (3)

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]

T. H. Wood, �??Multiple-quantum-well (MQW) waveguided modulator,�?? J. Lightwave Technol. 6, 743 (1988).
[CrossRef]

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]

J. Lightwave. Technol. (1)

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]

J. Mol. Struct. (1)

U. Langbein, F. Lederer, H.-E. Ponath, and U. Trutschel, �??Dispersion relations for nonlinear guided waves,�?? J. Mol. Struct. 115, 493 (1984).
[CrossRef]

J. Nat. Kao. Uni. of App. Sci. (2)

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).

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)

J. Nonlinear Opt. Phys. Mater. (1)

Y. H. Pramono, and Endarko, �??Nonlinear waveguides for optical logic and computation,�?? J. Nonlinear Opt. Phys. Mater. 10, 209 (2001).
[CrossRef]

J. Opt. Soc. Am. B. (1)

Y. D. Wu and M. H. Chen, �??Analyzing multilayer optical waveguides with nonlinear cladding and substrates,�?? J. Opt. Soc. Am. B. 19, 1737, (2002).

J. Opt. Soc. Amer. B. (1)

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).

J. Phys. Colloq. (1)

A. D. Boardman and P. Egan, �??Nonlinear surface and guided polaritions of a general layered dielectric structure,�?? J. Phys. Colloq. C5, 291 (1984).

Opt. Commmun. (1)

S. She and S. Zhang, �??Analysis of nonlinear TE waves in a periodic refractive index waveguide with nonlinear cladding,�?? Opt. Commmun. 161, 141 (1999).

Opt. Commun. (2)

D. J. Robbins, �??TE modes in a slab waveguide bounded by nonlinear media,�?? Opt. Commun. 47, 309 (1983).
[CrossRef]

U. Langbein, F. Lederer, and H. E. Ponath, �??A new type of nonlinear slab-guided wave,�?? Opt. Commun. 46, 167 (1983).
[CrossRef]

Opt. Eng. (1)

C. T. Seaton, X. Mai, G. I. Stegeman, N. G. Winful, �??Nonlinear guided wave applications,�?? Opt. Eng., 24, 593 (1985).

Opt. Express. (1)

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]

Opt. Lett. (1)

Opt. Quantum. Electron. (1)

F. Garzia, and M. Bertolotti, �??All-optical security coded key,�?? Opt. Quantum. Electron. 33, 527, (2001).
[CrossRef]

Phys. Scripta. (1)

D. Mihalache, R. G. Nazmitdinov, and V. K. Fedyanin, �??P-polarized nonlinear surface waves in symmetric layered structures.�?? Phys. Scripta. 29, 269 (1984).

Proc. SPIE (1)

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).

Rev. Roumaine Phys. (1)

D. Mihalache and H. Totia, �??S-polarized nonlinear surface and guided waves in an asymmetric layered structure,�?? Rev. Roumaine Phys. 29, 365 (1984).

School Condensed Matter Phys 1983 (1)

A. A. Maradudin, �??Nonlinear surface electromagnetic waves,�?? in Proc. 2nd Int. School Condensed Matter Phys., Varna, Bulgaria, Singapore: World Scientific (1983).

Sov. Phys. JETP (1)

N. N. Akhmediev, �??Novel class of nonlinear surface waves: Asymmetric modes in a symmetric layered structure,�?? Sov. Phys. �??JETP. 56, 299 (1982).

Sov. Phys.-JETP. (1)

A. E. Kaplan, �??Theory of hysteresis reflection and refraction of light by a boundary of a nonlinear medium,�?? Sov. Phys.-JETP. 45, 896 (1977).

SPIE Design, Fabrication, and Char. of P (1)

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).

SPIE. (1)

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).

Z. Phys. B. (1)

F. Fedyanin and D. Mihalache, �??P-poiarized nonlinear surface polaritons in layered structures,�?? Z. Phys. B. 47, 167 (1982).
[CrossRef]

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