A Novel Generalized Nonlinear Dispersion Equation for Five-Layer Waveguides with Kerr-like Nonlinearity

  • Published : 1996.07.31

Abstract

A new method is proposed for the analysis of optical properties of stationary transverse electirc (TE) nonlinear waves in the five-layer waveguide which consists of a linear guiding layer with two nonlinear bounding layers sandwiched between a semi-infinite clad and a substrate. By using the relation of the interface electric fields, we obtain the generalized form of nonlinear dispersion equations as an analytic and flexible form. In order to verify the dispersion equation, we apply the dispersion equation to the analysis of the symmetric five-layer waveguide. The nonlinear dispersion curves for several thicknesses of the nonlinear thin film is also presented.

Keywords

References

  1. J. Lightwave Tech. v.LT-6 Third order nonlinear integrated optics Stegeman, G.I.;Wsright, E.M.;Finlayson, N.;Zanoni, R.;Seaton, C.T.
  2. J. Opt. Soc. Am. B. v.7 Particle aspects of collimated light channel propagation at nonlinear interfaces and in waveguides Aceves, A.B.;Varatharajah, P.;Newell, A.C.;Wright, M.;Stegeman, G.I.;Heatley, D.R.;Moloney, J.V.;Adachihara, H.
  3. IEEE J. Quantum Electron. v.QE-21 Calculations of nonlinear TE waves guided by thin dielectric films bounded by nonlinear media Seaton, C.T.;Valera, J.D.;Shoemaker, R.L.;Stegeman, G.I.;Chilwell, J.T.;Smith, S.D.
  4. IEEE J. Quantum Electron. v.QE-21 S-Polarized waves in a thin dielectric film asymmetrically bounded by optically nonlinear media Boardman, A.D.;Egan, P.
  5. J. Mod. Opt. v.38 A new class of non-linear guided waves Ankiewicz, A.;Tran, H.T.
  6. IEEE J. Quantum Electron. v.QE-29 Universal diagrams for TE waves guided by thin films bounded by saturable nonlinear media Torres, J.P.;Torner, L.
  7. Opt. Commun. v.109 Iterative methods and stability of TE modes of nonlinear planar waveguides Chiang, K.S.;Sammut, R.A.
  8. J. Opt. Soc. Am. B. v.11 Diagrammatic analysis of nonlinear planar waveguides Torres, J.P.;Torner, L.
  9. Phys. Lett. A v.117 Instability of standing waves in nonlinear optical waveguides Jones, C.K.R.T.;Moloney, J.V.
  10. J. Lightwave Tech v.LT-11 Stability of the asymmetric nonlinear mode trapped in symmetric planar waveguides Atai, J.;Chen, Y.
  11. J. Opt. Soc. Am. B. v.5 Evolution of nonlinear guided optical fields down a dielectric film with a nonlinear cladding Leine, L.;Wchter, C.;Langbein, U.;Lederer, F.
  12. J. Opt. Soc. Am B v.10 Spatial soliton switching modes of nonlinear optical slab waveguides De Angelis, C.;Nalesso, G.F.
  13. J. Opt. Soc. Am. B. v.10 Propagation characteristics of nonlinear graded-index optical waveguides De Sario, M.;D'Orazio, A.;Petruzzelli, V.;Prudenzano, F.
  14. Opt. Commun. v.116 Optical properties of TE nonlinear waves in planar waveguides with two nonlinear bounding layers Jeong, J.S.;Kwak, C.H.;Lee, E.H.
  15. Opt. Commun. v.99 Strongly nonlinear effects with weak nonlinearities in smart waveguides Lederer, F.;Leine, L.;Muschall, R.;Peschel, T.;Schmidt-Hattenberger, C.;Trutschel, U.;Boardman, A.D.;Wchter, C.
  16. IEEE J. Quantum Electron. v.QE-22 Optically nonlinear waves in thin films Boardman, A.D.;Egan, P.
  17. Opt. Spectrosc. v.53 Optical dielectric waveguide with nonlinear permittivity Akhmediev, N.N.;Bolter, K.O.;Eleonskii, V.M.
  18. IEEE J. Quantum Electron. v.QE-31 Unified nonlinear waveguide dispersion equations without spurious roots Li, Y.F.;Iizuka, K.