Skip to main content

3-D Integrated Optical Microcircuits in Lithium Niobate Written by Spatial Solitons

  • Chapter
Ferroelectric Crystals for Photonic Applications

Part of the book series: Springer Series in Materials Science ((SSMATERIALS,volume 91))

Abstract

Integrated optical microcircuits are structures based on optical waveguides to confine light and consequently to make it realize operations and functionalities. Consequently, the basic element of any integrated circuit is the waveguide. It is constituted of 3 main spatial regions: the propagating core and the surrounding media, the upper and lower ones. In order to confine light, the propagating core must show a higher refractive index than the surrounding media in order to ensure a total reflection regime of the optical rays trapped inside the core area. Consequently, the propagating light proceeds inside the waveguide with a particular configuration called mode, which means the overall interference between all the trapped waves. According to the refractive index contrast between core and surrounding media and according to the transverse dimension of the waveguide, one or many modes can propagate: however, if there is just one mode or many, the characteristic of every mode is to keep its transverse profile constant along the whole propagation. Thus, the mode is a steady-state solution of the light propagation equation inside the confining structure called eigenstate.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. B. Chen, T. Findakly (eds.), Optical Waveguide Fabrication in Integrated Optical Circuits and Components (Marcel Dekker, New York, 1987)

    Google Scholar 

  2. S. Miyazawa, Appl. Phys. Lett. 23, 198 (1974)

    Article  Google Scholar 

  3. S. Miyazawa, S. Fushimi, S. Kondo, Appl. Phys. Lett. 23, 198 (1974)

    Article  Google Scholar 

  4. R.A. Betts, C.W. Pitts, Electron. Lett. 21, 980 (1985)

    Article  Google Scholar 

  5. M. Taya, M.C. Bashaw, M.M. Fejer, M. Segev, G.C. Valley, Phys. Rev. A 52, 3095 (1995)

    Article  CAS  Google Scholar 

  6. Z. Chen, M. Segev, D.W. Wilson, R. Muller, P.D. Maker, Phys. Rev. Lett. 78, 2948 (1997)

    Article  CAS  Google Scholar 

  7. E. Fazio, F. Renzi, R. Rinaldi, M. Bertolotti, M. Chauvet, W. Ramadan, A. Petris, V.I. Vlad, Appl. Phys. Lett. 85(12), 2193–2195 (2004)

    Article  CAS  Google Scholar 

  8. L. Keqing, Z. Yanpeng, Y. Tiantong, H. Xun, J. Opt. A, Pure Appl. Opt. 3, 262 (2001)

    Article  Google Scholar 

  9. P. Yeh (ed.), Introduction to Photorefractive Nonlinear Optics (Wiley, New York, 1987)

    Google Scholar 

  10. N. Fressengeas, J. Maufoy, G. Kugel, Phys. Rev. E 54, 6866 (1996)

    Article  CAS  Google Scholar 

  11. M. Segev, G.C. Valley, B. Crosignani, P. Di Porto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994)

    Article  Google Scholar 

  12. M.I. Carvalho, S.R. Singh, D.N. Christodoulides, Self-deflection of steady-state bright spatial solitons in biased photorefractive crystals. Opt. Commun. 120, 311 (1995)

    Article  CAS  Google Scholar 

  13. G.C. Valley, M. Segev, B. Crosignani, A. Yariv, M.M. Fejer, M.C. Banshaw, Phys. Rev. Lett. 73, 3211 (1994)

    Article  Google Scholar 

  14. M. Chauvet, J. Opt. Soc. Am. B 20, 2515 (2003)

    Article  CAS  Google Scholar 

  15. M. Segev, G.C. Valley, M.C. Banshaw, M. Taya, M.M. Fejer, J. Opt. Soc. Am. B 14, 1772 (1997)

    Article  CAS  Google Scholar 

  16. G. Duree, J.L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. Sharp, R.R. Neurgaonkarm, Phys. Rev. Lett. 71, 533–536 (1993)

    Article  CAS  Google Scholar 

  17. G. Couton, H. Maillotte, R. Giust, M. Chauvet, Electron. Lett. 39, 286 (2003)

    Article  Google Scholar 

  18. M.F. Shih, Z. Chen, M. Mitchell, M. Segev, H. Lee, R.S. Feigelson, J.P. Wilde, J. Opt. Soc. Am. B 14, 3091 (1997)

    Article  CAS  Google Scholar 

  19. L. Jinsong, L. Keqing, J. Opt. Soc. Am. B 16, 550 (1999)

    Article  CAS  Google Scholar 

  20. E. Fazio, F. Mariani, M. Bertolotti, V. Babin, V. Vlad, J. Opt. A, Pure Appl. Opt. 3, 466 (2001)

    Article  CAS  Google Scholar 

  21. E. Fazio, W. Ramadan, A. Belardini, A. Bosco, M. Bertolotti, A. Petris, V.I. Vlad, Phys. Rev. E 67, 026611 (2003)

    Article  CAS  Google Scholar 

  22. J. Amodei, D. Staebler, Appl. Phys. Lett. 18, 540 (1971)

    Article  CAS  Google Scholar 

  23. F. Micheron, G. Bismuth, Appl. Phys. Lett. 20, 79 (1972)

    Article  CAS  Google Scholar 

  24. K. Itoh, O. Matoba, Y. Ichioka, Opt. Lett. 19, 652 (1994)

    Article  CAS  Google Scholar 

  25. S. Malis, C. Riziotis, I.T. Wellington, P.G.R. Smith, C.B.E. Gawith, R.W. Eason, Opt. Lett. 28, 1433 (2003)

    Article  Google Scholar 

  26. O. Matoba, K. Kuroda, K. Itoh, Opt. Lett. 145, 150 (1998)

    CAS  Google Scholar 

  27. A. Bekker, A. Peda’el, N.K. Berger, M. Horowitz, B. Fischer, Appl. Phys. Lett. 72, 3121 (1998)

    Article  CAS  Google Scholar 

  28. M. Klotz, H.-X. Meng, G. Salamo, M. Segev, S.R. Montgomery, Opt. Lett. 24, 77 (1999)

    Article  CAS  Google Scholar 

  29. A.W. Snyder, F. Ladouceur, Opt. Photonics News 10, 35 (1999)

    Article  Google Scholar 

  30. Y.S. Kivshar, G.I. Stegeman, Opt. Photonics News 13, 59 (2002)

    Article  Google Scholar 

  31. M. Morin, G. Duree, G. Salamo, M. Segev, Opt. Lett. 20, 2066 (1995)

    Article  CAS  Google Scholar 

  32. P. Gunter, J.P. Huignard (eds.), Photorefractive Materials and Their Applications: 1. Basic Effects (Springer, Berlin, 2006)

    Google Scholar 

  33. E. Fazio, W. Ramadan, A. Petris, M. Chauvet, A. Bosco, V.I. Vlad, M. Bertolotti, Appl. Surf. Sci. 248, 97–102 (2005)

    Article  CAS  Google Scholar 

  34. I. Duport, P. Benech, D. Khalil, R. Rimet, J. Phys. D, Appl. Phys. 25, 913–918 (1992)

    Article  CAS  Google Scholar 

  35. V.I. Vlad, E. Fazio, M. Bertolotti, A. Bosco, A. Petris, Appl. Surf. Sci. 248, 484–491 (2005)

    Article  CAS  Google Scholar 

  36. A. Petris, A. Bosco, V.I. Vlad, E. Fazio, M. Bertolotti, J. Optoelectron. Adv. Mater. 7, 2133–2140 (2005)

    CAS  Google Scholar 

  37. V.I. Vlad, A. Petris, A. Bosco, E. Fazio, M. Bertolotti, J. Opt. A, Pure Appl. Opt. 8, S477–S482 (2006)

    Article  CAS  Google Scholar 

  38. M. Chauvet, V. Coda, H. Maillotte, E. Fazio, G. Salamo, Opt. Lett. 30(15), 1977–1979 (2005)

    Article  CAS  Google Scholar 

  39. R. Jager, S.P. Gorza, C. Cambournac, M. Haelterman, M. Chauvet, Appl. Phys. Lett. 88, 061117 (2006)

    Article  Google Scholar 

  40. M. Shih, P. Leach, M. Segev, M. Garret, G. Salamo, G.C. Valley, Opt. Lett. 21, 324 (1996)

    Article  CAS  Google Scholar 

  41. L. Ren, L. Liu, D. Liu, J. Zu, Z. Luan, J. Opt. Soc. Am. B 20, 2162 (2003)

    Article  CAS  Google Scholar 

  42. W. Yan, Y. Kong, L. Shi, L. Sun, H. Liu, X.N Li, D. Zhao, J. Xu, S. Chen, L. Zhang, Z. Huang, S. Liu, G. Zhang, Appl. Opt. 45, 2453 (2006)

    Article  CAS  Google Scholar 

  43. E. Cassan, S. Laval, S. Lardenois, A. Koster, IEEE J. Sel. Top. Quantum Electron. 9, 460 (2003)

    Article  CAS  Google Scholar 

  44. S. Fan, S.G. Johnson, J.D. Joannopoulos, C. Manolatou, H.A. Haus, J. Opt. Soc. Am. B 18, 162 (2001)

    Article  CAS  Google Scholar 

  45. V. Coda, M. Chauvet, F. Pettazzi, E. Fazio, Electron. Lett. 42, 463 (2006)

    Article  Google Scholar 

  46. G.I. Stegeman, C.T. Seaton, J. Appl. Phys. 58, R57 (1985)

    Article  CAS  Google Scholar 

  47. S. Lan, M. Shih, G. Mizell, J.A. Giordmaine, Z. Chen, C. Anastassiou, M. Segev, Opt. Lett. 24, 1145 (1999)

    Article  CAS  Google Scholar 

  48. A.D. Boardman, W. Ilecki, Y. Liu, J. Opt. Soc. Am. B 19, 832 (2002)

    Article  CAS  Google Scholar 

  49. S. Lan, M. Shih, G. Mizell, J.A. Giordmaine, Z. Chen, C. Anastassiou, M. Segev, Appl. Phys. Lett. 77, 2101 (2000)

    Article  CAS  Google Scholar 

  50. S. Orlov, A. Yariv, M. Segev, Appl. Phys. Lett. 68, 1610 (1996)

    Article  CAS  Google Scholar 

  51. C. Lou, J. Xu, H. Qiao, X. Zhang, Y. Chen, Z. Chen, Opt. Lett. 29, 953 (2004)

    Article  Google Scholar 

  52. R.L. Byer, Y.K. Park, R.S. Feigelson, W.L. Kway, Appl. Phys. Lett. 39, 17 (1981)

    Article  CAS  Google Scholar 

  53. N. Uesugi, K. Daikoku, K. Kubota, Appl. Phys. Lett. 34, 60 (1979)

    Article  CAS  Google Scholar 

  54. F. Pettazzi, V. Coda, M. Chauvet, E. Fazio, Opt. Commun. 272, 238 (2007)

    Article  CAS  Google Scholar 

  55. U. Schlarb, K. Betzler, Phys. Rev. B 48, 15613 (1993)

    Article  CAS  Google Scholar 

  56. T. Tamir, W. Tomlinson, Appl. Opt. 28, 2262 (1989)

    Google Scholar 

  57. A.M. Prokhorov, Y.S. Kuz’minov, O.A. Khachaturyan, Ferroelectrics Thin-Film Waveguides in Integrated Optics and Optoelectronic (Cambridge International Science Publishing, Cambridge, 1997)

    Google Scholar 

  58. S.K. Korotky, R.C. Alferness, in Integrated Optical Circuits and Components, ed. by L.D. Hutcheson (Dekker, New York, 1987), p. 169, Chap. 6.

    Google Scholar 

  59. K.M. Davis, K. Miura, N. Sugimoto, K. Hirao, Opt. Lett. 21, 1729 (1996)

    Article  CAS  Google Scholar 

  60. H. Varel, D. Ashkenasi, A. Rosenfeld, M. Waehmer, E.E.B. Campbell, Appl. Phys. A, Mater. Sci. Process. 65, 367 (1997)

    Article  CAS  Google Scholar 

  61. L. Sudrie, M. Franco, B. Prade, A. Mysyrowicz, Opt. Commun. 171, 279 (1999)

    Article  CAS  Google Scholar 

  62. E.N. Glezer, M. Milosavljevic, L. Huang, R.J. Finlay, T.-H. Her, J.P. Callan, E. Mazur, Opt. Lett. 21, 2023 (1996)

    Article  CAS  Google Scholar 

  63. D. Homoelle, S. Wielandy, A.L. Gaeta, N.F. Borrelli, C. Smith, Opt. Lett. 24, 1311 (1999)

    Article  CAS  Google Scholar 

  64. C.B. Schaffer, A. Brodeur, J.F. Garcia, E. Mazur, Opt. Lett. 26, 93 (2001)

    Article  CAS  Google Scholar 

  65. A.M. Streltsov, N.F. Borrellim, Opt. Lett. 26, 42 (2001)

    Article  CAS  Google Scholar 

  66. K. Minoshima, A.M. Kowalevicz, I. Hartl, E.P. Ippen, J.G. Fujimoto, Opt. Lett. 26, 1516 (2001)

    Article  CAS  Google Scholar 

  67. K. Minoshima, A.M. Kowalevicz, E.P. Ippen, J.G. Fujimoto, Opt. Express 10, 645 (2002)

    Article  Google Scholar 

  68. C. Florea, K.A. Winick, J. Lightwave Technol. 21, 246 (2003)

    Article  CAS  Google Scholar 

  69. R. Osellame, S. Taccheo, M. Marangoni, R. Ramponi, P. Laporta, D. Polli, S. Silvestri, G. Cerullo, J. Opt. Soc. Am. B 20, 1559 (2003)

    Article  CAS  Google Scholar 

  70. Y. Sikorski, A.A. Said, P. Bado, R. Maynard, C. Florea, K.A. Winick, Electron. Lett. 36, 226 (2000)

    Article  Google Scholar 

  71. S. Nolte, M. Will, J. Burghoff, A. Tuennermann, Appl. Phys. A 77, 109–111 (2003)

    Article  CAS  Google Scholar 

  72. S. Nolte, M. Will, J. Burghoff, A. Tuennermann, in CLEO Conf. Digest Paper CWI4, Baltimore (2003)

    Google Scholar 

  73. A.M. Kowalevicz, V. Sharma, E.P. Ippen, J.G. Fujimoto, K. Minoshima, Opt. Lett. 30, 1060 (2005)

    Article  CAS  Google Scholar 

  74. K.K. Wong, in Properties of Lithium Niobate, Lithium Tantalate and Potassium Tytanil Phosphate, vol. 30 (IEEE, London, 2005), p. 1060

    Google Scholar 

  75. L. Arizmendi, Phys. Status Solidi A 201, 253 (2004)

    Article  CAS  Google Scholar 

  76. A.M. Glass, Opt. Eng. 17, 11 (1978)

    Article  Google Scholar 

  77. C. Anastassiou, M. Shih, M. Mitchell, Z. Chen, M. Segev, Opt. Lett. 23, 924 (1998)

    Article  CAS  Google Scholar 

  78. M. Segev, M. Shih, G.C. Valley, J. Opt. Soc. Am. B 13, 706 (1996)

    Article  CAS  Google Scholar 

  79. J. Petter, J. Schroeder, D. Traeger, C. Denz, Opt. Lett. 28, 438 (2001)

    Article  Google Scholar 

  80. Z. Chen, H. Martin, Opt. Mater. 23, 235 (2003)

    Article  CAS  Google Scholar 

  81. B. Terhalle, D. Traeger, L. Tang, J. Imbrock, C. Denz, Phys. Rev. E 74, 57601 (2006)

    Article  Google Scholar 

  82. E.D. Eugenieva, N.K. Efremides, D.N. Christodoulides, Opt. Lett. 26, 1978 (2001)

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to E. Fazio .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Fazio, E. et al. (2014). 3-D Integrated Optical Microcircuits in Lithium Niobate Written by Spatial Solitons. In: Ferraro, P., Grilli, S., De Natale, P. (eds) Ferroelectric Crystals for Photonic Applications. Springer Series in Materials Science, vol 91. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41086-4_5

Download citation

Publish with us

Policies and ethics