Applied Physics B

, Volume 35, Issue 2, pp 49–57 | Cite as

Phase-matched four-photon mixing processes in birefringent fibers

  • R. K. Jain
  • K. Stenersen
Contributed Papers

Abstract

We describe several new phase-matching processes for four-photon mixing in polarization-preserving birefringent fibers. The frequency shifts and polarization conditions of the waves involved in this nonlinear interaction are specified for a single-mode fused silica birefringent fiber. Our calculations include the effect of dispersion in the birefringence of the fibers.

PACS

42.65.Cq 42.80.Mv 42.65.-k 

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References

  1. 1.
    For recent reviews on the various nonlinear phenomena observed in fibers, see: R.H. Stolen: Noninear Properties of Optical Fibers, inOptical Fiber Telecommunications, ed. by S.E. Miller, A.G. Chynoweth (Academic Press, New York, 1979) Chap. 5, p. 125Google Scholar
  2. 1a.
    K.O. Hill, B.S. Kawasaki, D.C. Johnson, Y. Fujii: Nonlinear Effects in Optical Fibers, inFiber Optics-Advances in Research and Development, ed. by B. Bendow, S.S. Mitra, (Plenum Press, New York, 1979)Google Scholar
  3. 2.
    R.H. Stolen, J.E. Bjorkholm, A. Ashkin: Appl. Phys. Lett.24, 308 (1974)Google Scholar
  4. 3.
    R.H. Stolen: IEEE J. QE-11, 100 (1975)Google Scholar
  5. 4.
    K.O. Hill, D.C. Johnson, B.S. Kawasaki, R.I. MacDonald: J. Appl. Phys.49, 5098 (1978)Google Scholar
  6. 5.
    A. Saissy, J. Botineau, A. Azema, F. Gires: Appl. Opt.19, 1639 (1980)Google Scholar
  7. 6.
    K.O. Hill, B.S. Kawasaki, Y. Fujii, D.C. Johnson: Appl. Phys. Lett.36, 888 (1980)Google Scholar
  8. 6a.
    K.O. Hill, D.C. Johnson, B.S. Kawasaki: Appl. Opt.20, 1075 (1981)Google Scholar
  9. 7.
    R. Pini, R. Salimbeni, A.F.M.Y. Haider, M. Matera, C. Lin: Opt. Lett.9, 77 (1984)Google Scholar
  10. 8.
    K. Washio, K. Inoue, T. Tanigawa: Electron. Lett.16, 331 (1980)Google Scholar
  11. 8a.
    C. Lin, W.A. Reed, A.D. Pearson: Opt. Lett.6, 493 (1981)Google Scholar
  12. 9.
    R.H. Stolen, M.A. Bosch, C. Lin: Opt. Lett.6, 213 (1981)Google Scholar
  13. 10.
    R.H. Stolen, J.E. Bjorkholm: IEEE J. QE-18, 1062 (1982)Google Scholar
  14. 11.
    K. Stenersen, R.K. Jain: Small-Stokes-shift frequency conversion in single-mode birefringent fibers (to be published in Opt. Commun.)Google Scholar
  15. 12.
    D. Gloge: Appl. Opt.10, 2252 and 2442 (1971)Google Scholar
  16. 12a.
    D.N. Payne, W.A. Gambling: Electron. Lett.11, 176 (1975)Google Scholar
  17. 13.
    R.B. Dyott, J.R. Cozens, D.G. Morris: Electron. Lett.15, 380 (1979)Google Scholar
  18. 13a.
    J.D. Love, R.A. Sammut, A.W. Snyder: Electron. Lett.15, 617 (1979)Google Scholar
  19. 13b.
    N. Shibata, M. Tateda, S. Seikai, N. Uchida: Electron. Lett.17, 153 (1981)Google Scholar
  20. 13c.
    W. Eickoff, Y. Yen, R. Ulrich: Appl. Opt.20, 3428 (1981)Google Scholar
  21. 14.
    D.N. Payne, A.J. Barlow, J.J. Ramskov Hansen: IEEE J. QE-18, 477 (1982)Google Scholar
  22. 14a.
    N. Imoto, N. Yoshigawa, J. Sakai, H. Tsuchiya: IEEE J. QE-16, 1267 (1980)Google Scholar
  23. 14b.
    I.P. Kaminow: IEEE J. QE-17, 15 (1981)Google Scholar
  24. 14c.
    T. Okoshi: IEEE J. QE-17, 879 (1981)Google Scholar
  25. 15.
    S.C. Rashleigh: Opt. Lett.7, 294 (1982)Google Scholar
  26. 16.
    Luc B. Jeunhomme:Single-Mode Fiber Optics-Principles and Applications, (Dekker, New York 1983)Google Scholar
  27. 17.
    Higher-order polynomial expansions may also be used. For instance, a third-order term in (4) will result in a fourth-order equation for the solution ofΩ S, for which only real and positive solutions are retained. As may be seen from [13–16] for small frequency shiftsΩ S, a linear function is usually an excellent approximationGoogle Scholar
  28. 18.
    In accordance with R.G. Smith [Appl. Opt.11, 2489 (1972)], the threshold pump power is defined as that power for which a net gain of exp (16) is observed, i.e. “significant” light generation has occurred from the amplification of noise photons by this stimulated parametric interactionGoogle Scholar
  29. 19.
    P.K. Jain, C. Lin, R.H. Stolen, W. Pleibel, P. Kaiser: Appl. Phys. Lett.30, 162 (1977)Google Scholar
  30. 19a.
    R.H. Stolen, G.E. Walrafen: J. Chem. Phys.64, 2623 (1976)Google Scholar
  31. 20.
    R.H. Stolen, C. Lee, R.K. Jain: J. Opt. Soc. Am. B (to be published)Google Scholar
  32. 21.
    A nonuniform birefringence of the order of 10−7 to 10−5 is often found in non-polarization preserving communications-type optical fibers due to slight core and cladding ellipticities, anisotropic residual stresses in the core and cladding regions of the fiber and external perturbations. For instance, see [14]Google Scholar
  33. 22.
    R.W. Hellwarth, J. Cherlow, T. Yang: Phys. Rev. B11, 964 (1975)Google Scholar
  34. 23.
    R.W. Hellwarth et al.: Frequency dependence of the nonlinear susceptibility of five glasses. InLaser-Induced Damage in Optical Materials (Natl Bureau of Standards Publ. No. 414, Washington D.C. 1975) p. 207Google Scholar
  35. 23a.
    A. Owyoung: Ph. D. thesis, california Institute of Technology, Pasadena, California (1972)Google Scholar
  36. 24.
    R.W. Hellwarth: “Third-order susceptibilities of liquids and solids,” inProgress in Quant. Electron,5, 1 (Pergamon Press, London 1977)Google Scholar
  37. 24a.
    A. Owyoung, R.W. Hellwarth, N. George: Phys. Rev. B5, 628 (1972)Google Scholar
  38. 25.
    P.D. Maker, R.W. Terhune: Phys. Rev.137A, 801 (1965)Google Scholar
  39. 26.
    R.H. Stolen: IEEE J. QE-15, 1157 (1979)Google Scholar
  40. 27.
    Gao Pei-juan, Nie Cao-jiang, Yang Tian-long, Su Hai-zheng: Appl. Phys.24, 303 (1981)Google Scholar
  41. 27a.
    F.R. Barbosa: Appl. Opt.22, 3854 (1983)Google Scholar
  42. 28.
    K.O. Hill, D.C. Johnson, B.S. Kawasaki: Appl. Opt.20, 1975 (1981)Google Scholar
  43. 29.
    D.A. Pinnow, A.L. Gentile, A.G. Standlee, A.J. Timper, L.M. Hobrock: Appl. Phys. Lett.33, 28 (1978)Google Scholar
  44. 30.
    R.E. Wagner, R.H. Stolen, W. Pleibel: Electron. Lett.17, 177 (1981)Google Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • R. K. Jain
    • 1
  • K. Stenersen
    • 1
  1. 1.Hughes Research LaboratoriesMalibuUSA

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