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Theoretical Analysis of Nonlinear Interactions

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Waveguide Nonlinear-Optic Devices

Part of the book series: Springer Series in Photonics ((PHOTONICS,volume 11))

Abstract

There exist a variety of nonlinear-optic (NLO) interactions that enable device implementation. This chapter presents a theoretical analysis of second-order NLO interactions for traveling waves in waveguide structures. The fundamental concepts, techniques for the theoretical analysis, and the characteristics of each interaction are described in detail. The results of the analysis are discussed from the viewpoint of device design. Some results are summarized in graphic data with normalized parameters useful for designing, and guidelines and criteria for optimum design are given. NLO interactions in optical cavities will be discussed in the next chapter.

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References

  1. S. Somekh, A. Yariv: Appl. Phys. Left., 21, pp. 140–141 (1972)

    Article  ADS  Google Scholar 

  2. A. Yariv: IEEEJ. Quantum Electron., QE-9, pp. 919–933 (1973)

    Google Scholar 

  3. B. Jaskorzynska, G.Arvidsson, F.Laurell: Proc. SPIE, 651, pp. 221–228 (1986)

    Article  Google Scholar 

  4. T. Suhara, H.Nishihara: IEEE J. Quantum Electron., 26, pp. 1265–1276 (1990)

    Article  ADS  Google Scholar 

  5. I.A. Armstrong, N. Bloembergen, I. Ducuing, P.S. Pershan: Phys. Rev., 127, pp. 1918–1939 (1962)

    Article  ADS  Google Scholar 

  6. S. Helmflid, G. Arvidsson: J. Opt. Soc. Amer., B, 8, pp. 2326–2330 (1991)

    Article  ADS  Google Scholar 

  7. M. Matsumoto, K. Tanaka: IEEE J. Quantum Electron., 31, pp. 700–705 (1995);

    Article  ADS  Google Scholar 

  8. Y.J. Ding, J.U. Kang, J.B. Khurgin: IEEE J. Quantum Electron., 34, pp. 966–974 (1998)

    Article  ADS  Google Scholar 

  9. T. Suhara, H. Nishihara: Trans. IEICE, J82-C-I, pp. 326–334 (1999)

    Google Scholar 

  10. T. Suhara, H. Nishihara: Electron. Comm. Japan Pt.2, 82, pp. 48–56 (1999)

    Google Scholar 

  11. S.E. Harris: Appl. Phys Let., 9, pp. 114–116 (1966)

    Article  ADS  Google Scholar 

  12. H. Kogelrlik: Bell Syst. Tech. J., 55, pp. 109–126 (1976)

    Google Scholar 

  13. C.S. Hong, I.B. Sheuan, A.C.Livanos, A.Yariv, A.Katzier: Appl. Phys. Lett., 31, pp. 276–278 (1977)

    Article  ADS  Google Scholar 

  14. T. Suhara, H. Nishihara: IEEE J. Quantum Electron., QE-22, pp. 845–867 (1986)

    Google Scholar 

  15. S. Helmflid, G. Arvidsson: J. Opt. Soc. Amer., B, 8, pp. 797–804 (1991)

    Article  ADS  Google Scholar 

  16. M.M. Fejer, G.A. Magel, D.H. Jundt, R. L.Byer: IEEEJ. Quantum Electron., 28, pp. 2631–2654 (1992)

    Article  ADS  Google Scholar 

  17. P.K. Tien, R. Ulrich, R.J. Martin: Appl. Phys. Lett., 17, pp. 447–450 (1970)

    Article  ADS  Google Scholar 

  18. M.J. Li, M. DeMicheli, Q. He, D.B. Ostrowsky: IEEE J. Quantum Electron., 26, pp. 1384–1393 (1990)

    Article  ADS  Google Scholar 

  19. G. Hatakoshi, K. Terashima, Y.Uematsu: Trams. IEICE, E-73, pp. 488–490 (1990)

    Google Scholar 

  20. K. Hayata, M. Koshiba: Electron. Lett., 25, pp. 376–378 (1989)

    Article  ADS  Google Scholar 

  21. K. Chikuma, S. Umegaki: J. Opt. Soc. Amer. B, 7, pp. 768–775 (1990)

    Article  ADS  Google Scholar 

  22. N.A. Sanford, I.M. Connors: J. Appl. Phys., 65, pp. 1429–1437 (1989)

    Article  ADS  Google Scholar 

  23. K. Hayata, T. Sugawara, M. Koshiba: IEEE J. Quantum Electron., 26, pp. 123–134 (1990)

    Article  ADS  Google Scholar 

  24. K.I. White, B.K. Nayar: J. Opt. Soc. Amer. B, 5, pp. 317–324 (1988)

    Article  ADS  Google Scholar 

  25. H. Tamada: IEEE J. Quantum Electron., 26, pp. 1821–1826 (1990)

    Article  ADS  Google Scholar 

  26. T. Suhara, T. Morimoto, H. Nishihara: IEEE J. Quantum Electron., 29, pp 525–537 (1993)

    Article  ADS  Google Scholar 

  27. W. Heitler: Quantum Theory of Radiation, 3rd ed. section 18 (Oxford Univ. Press, Oxford 1954 )

    Google Scholar 

  28. T. Suhara, A. Tazaki, H.Nishihara: Electron. Lett., 25, pp. 1326–1327 (1989)

    Google Scholar 

  29. S.A. Akhmanov, A.S. Chirkin, K.N. Drabovich, A.I. Kovrygin, R.V. Khokhlov, A.P. Sukhorunov: IEEE J. Quantum Electron., QE-4, pp. 598–605 (1968)

    Google Scholar 

  30. S.A. Akhmanov, A.I. Kovrygin, A.P. Sukhorunov: Optical Harmonic Generation and Optical Frequency Multipliers, in H. Rabin, C.L. Tang ed.: Quantum Electronics: A Treatise vol.1 Nonlinear Optics, I, Nonlinear Optics, Pt.B ( Academic Press, New York 1975 )

    Google Scholar 

  31. R.C. Eckardt, J. Reintjes: IEEE J. Quantum Electron., QE-20, pp. 1178–1187 (1984)

    Google Scholar 

  32. H. Ishizuki, T. Suhara, H. Nishihara: Trans. IEICE, J84-C, pp. 462–470 (2001) (in Japanese)

    Google Scholar 

  33. M.D. Feit, J.A.Fleck: Appl. Opt., 17, pp. 3990–3998 (1978)

    ADS  Google Scholar 

  34. L. Thylén: Opt. Quantum Electron., 15, pp. 433–439 (1983)

    Article  ADS  Google Scholar 

  35. G.I. Stegeman, D.J. Hagan, L. Torner: Opt. Quantum Electron., 28, pp. 1691–1740 (1996)

    Article  Google Scholar 

  36. G.I. Stegeman, M.S. Bahae, E.V. Stryland, G. Assanto: Opt. Lett., 18, pp. 13–15 (1997)

    Article  ADS  Google Scholar 

  37. C.N. Ironside, J.S. Aitchison, J.M. Arnold: IEEE J. Quantum Electron., 29, pp. 2650–2654 (1993)

    Article  ADS  Google Scholar 

  38. D.C. Hatching, J.S. Aitchison, C.N. Ironside: Opt. Lett., 18, pp. 793–795 (1993)

    Article  ADS  Google Scholar 

  39. A. Kobyakov, U. Peschel, F. Lederer: Opt. Commun., 124, pp. 184–194 (1996)

    Article  ADS  Google Scholar 

Download references

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Suhara, T., Fujimura, M. (2003). Theoretical Analysis of Nonlinear Interactions. In: Waveguide Nonlinear-Optic Devices. Springer Series in Photonics, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-10872-7_3

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  • DOI: https://doi.org/10.1007/978-3-662-10872-7_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05685-7

  • Online ISBN: 978-3-662-10872-7

  • eBook Packages: Springer Book Archive

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