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A model for the analysis of nonlinear interactive problems between TE and TM waves based on the resonance technique

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Abstract

A simple and easily programmable approach based on the resonance method has been developed for analysing the nonlinear interaction between TE and TM waves. The model is oriented to be applicable to complicated nonlinear interactive problems, such as multilayer dielectric structures with arbitrary nonlinear media, two-dimensional nonlinear guides, nonisotropic nonlinear media, etc. In this paper, the five-layer waveguiding configuration containing two nonlinear media, along with a linear film of arbitrary refractive index profile, is treated.

The dielectric tensor considered is of more general nonlinearity and not only the Kerr type. The theory is illustrated by a set of numerical results in which loci of interactive waves in the βTEβ−TE plane, field profiles and guided powers are presented. Some useful conclusions are derived.

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References

  1. N. N.AKHMEDIEV,Sov. Phys. — JETP 56 (1982) 299.

    Google Scholar 

  2. F.LEDERER, U.LANGBEIN and H.PONATH,Appl. Phys. B. 31 (1983) 69.

    Google Scholar 

  3. C. T.SEATON, J. D.VALERA, R. L.SHOEMAKER, G. I.STEGEMAN, J. T.CHILWELL and S.DESMOND SMITH,IEEE J. Quantum Electron. QE-21 (7) (1985) 774.

    Google Scholar 

  4. A. D.BOARDMAN and P.EGAN,IEEE J. Quantum Electron. QE-22(2) (1986) 319.

    Google Scholar 

  5. A. D.BOARDMAN and P.EGAN,IEEE J. Quantum Electron. QE-21(10) (1985) 1701.

    Google Scholar 

  6. S. M.JENSEN,IEEE J. Quantum Electron. QE-18 (1982) 1580.

    Google Scholar 

  7. A. D.BOARDMAN and P.EGAN,J. Phys. (Paris) C5-45 (1984) 291.

    Google Scholar 

  8. T.SAKAKIBARA and N.OKAMOTO,IEEE J. Quantum Electron. QE-23 (12) (1987) 2084.

    Google Scholar 

  9. U.LANGBEIN, F.LEDERER and H. E.PONATH,Opt. Commun. 53(6) (1985) 417.

    Google Scholar 

  10. G. I.STEGEMAN, C. T.SEATON, J.ARIYASU, T. P.SHEN and J. V.MOLONEY,Opt. Commun. 56(5) (1986) 365.

    Google Scholar 

  11. F.FEDYANIN and D.MIHALACHE,Z. Phys. B 47 (1982) 167.

    Google Scholar 

  12. U.LANGBEIN, F.LEDERER, T.PESCHEL, H. E.PONATH,Opt. Lett. 10(11) (1985) 571.

    Google Scholar 

  13. J.TORRES and L.TORNER,IEEE J. Quantum Electron. 29(3) (1993) 917.

    Google Scholar 

  14. D.MIHALACHE et al.,Opt. Lett. 12 (1987) 187.

    Google Scholar 

  15. L.TORNER, J. P.TORRES, F.LEDERER, D.MIHALACHE, D. M.BABOIU and M.CIUMAC,Electron. Lett. 29(13) (1993) 1186.

    Google Scholar 

  16. S.VUKOVIC and R.DRAGILAOpt. Lett. 14(10) (1989) 529.

    Google Scholar 

  17. D.MIHALACHE, R. G.NAZMITDINOV and V. K.FEDYANIN,Phys. Scripta 29 (1984) 269.

    Google Scholar 

  18. G. I.STEGEMAN, E. M.WRIGHT, C. T.SEATON, J. V.MOLONEY, T. P.SHEN, A. A.MARADUDIN and R. F.WALLIS,IEEE J. Quantum Electron. QE-22 (1986) 977.

    Google Scholar 

  19. A. D.BOARDMAN, T.TWARDOWSKI, A.SHIVAROVA and G. I.STEGEMANIEE Proc. Pt J 134(3) (1987) 152.

    Google Scholar 

  20. J. V.MOLONEY, J.ARIYASU, C. T.SEATON and G. I.STEGEMAN,Opt. Lett. 11 (1986) 315.

    Google Scholar 

  21. W. R.HOLLAND,J. Opt. Soc. Am. B. 3 (1986) 1529.

    Google Scholar 

  22. K.OGUSU,Opt. Commun. 63 (1987) 380.

    Google Scholar 

  23. F.DIOS, L.TORNER and F.CANAL,Opt. Commun. 72 (1989) 54.

    Google Scholar 

  24. K.HAYATA, M.KOSHIBA and M.SUZUKI,Electron. Lett. 23 (1987) 429.

    Google Scholar 

  25. K.HAYATA, M.NAGAI and M.KOSHIBA,Electron. Lett. 23 (1987) 1305.

    Google Scholar 

  26. K.HAYATA, M.NAGAI and M.KOSHIBA,IEEE Trans. MIT 36(7) (1988) 1207.

    Google Scholar 

  27. A. D.BOARDMAN, A. A.MARADUDIN, G. I.STEGEMAN, T.TWARDOWSKI and E. M.WRIGHT,Phys. Rev. A 35(3) (1987) 1159.

    Google Scholar 

  28. A. D.BOARDMAN and T.TWARDOWSKI,Phys. Rev. A 39(5) (1989) 2481.

    Google Scholar 

  29. C. D.PAPAGEORGIOU, J. D.KANELLOPOULOS and J. G.FIKIORIS,J. Opt. Soc. Am. 73 (1983) 1291.

    Google Scholar 

  30. C. D.PAPAGEORGIOU and A. C.BOUCOUVALAS,Opt. Acta 31 (1984) 555.

    Google Scholar 

  31. J. D. KANELLOPOULOS and N. A. STATHOPOULOS,Proc. MELECON 89, Lisbon 1989, p. 695.

  32. J. D. KANELLOPOULOS and N. A. STATHOPOULOS,Proc. URSI Symposium, Stockholm 1989, p. 216.

  33. J. D.KANELLOPOULOS and N. A.STATHOPOULOS,Opt. Quantum Electron. J. 24 (1992) 755.

    Google Scholar 

  34. J. D.KANELLOPOULOS and N. A.STATHOPOULOS,J. Modern Opt. 40(5) (1993) 743.

    Google Scholar 

  35. A. D.BOARDMAN and T.TWARDOWSKI,J. Opt. Soc. Am. B 5(2) (1988) 523.

    Google Scholar 

  36. A. D.BOARDMAN and T.TWARDOWSKI,Phys. Rev. A 39(5) (1989) 2481.

    Google Scholar 

  37. Th.PESCHEL, P.DANNBERG, U.LANGBEIN and F.LEDERER,J. Opt. Soc. Am. B 5(1) (1988) 29.

    Google Scholar 

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Kanellopoulos, J.D., Stathopoulos, N.A. A model for the analysis of nonlinear interactive problems between TE and TM waves based on the resonance technique. Opt Quant Electron 27, 577–594 (1995). https://doi.org/10.1007/BF00563141

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