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Articles

Coupled electromagnetic TE-TE wave propagation in nonlinear layer with saturated nonlinearity

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Pages 2099-2113 | Received 01 Aug 2019, Accepted 14 Nov 2019, Published online: 24 Nov 2019

References

  • Eleonskii P.N.; Silin V.P. Nonlinear Theory of Penetration of P-polarized Waves Into a Conductor. Sov. Phys. JETP 1971, 33 (5), 1039–1044.
  • Eleonskii P.N.; Oganes'yants L.G.; Silin V.P. Cylindrical Nonlinear Waveguides. Sov. Phys. JETP 1972, 35 (1), 44–47.
  • Boardman A.D.; Egan P. S-Polarized Waves in a Thin Dielectric Film Asymmetrically Bounded by Optically Nonlinear Media. IEEE J. Quant. Electron. 1985, 21 (10), 1701–1713. doi: 10.1109/JQE.1985.1072568
  • Boardman A.D.; Maradudin A.A.; Stegeman G.I.; Twardowski T.; Wright E.M. Exact Theory of Nonlinear P-polarized Optical Waves. Phys. Rev. A 1987, 35 (3), 1159–1164. doi: 10.1103/PhysRevA.35.1159
  • Holland W.R. Nonlinear Guided Waves in Low-index, Self-focusing Thin Films: Transverse Electric Case. J. Opt. Soc. Am. B 1986, 3 (11), 1529–1534. doi: 10.1364/JOSAB.3.001529
  • Leung K.M. P-polarized Nonlinear Surface Polaritons in Materials with Intensity-dependent Dielectric Functions. Phys. Rev. B 1985, 32 (8), 5093–5101. doi: 10.1103/PhysRevB.32.5093
  • Fedyanin V.K.; Mihalache D. P-polarized Nonlinear Surface Polaritons in Layered Structures. Zeitschrift für Physik B Condensed Matter. 1982, 47 (2), 167–173. doi: 10.1007/BF01441299
  • Boardman A.D.; Egan P. Nonlinear Surface and Guided Polaritons of a General Layered Dielectric Structure. J. Phys. 1984, 45 (4), 291–301.
  • Schürmann H.W.; Schmoldt R. Optical Response of a Nonlinear Absorbing Dielectric Film. Opt. Lett. 1996, 21 (6), 387–389. doi: 10.1364/OL.21.000387
  • Leung K.M.; Lin R.L. Scattering of Transverse-magnetic Waves with a Nonlinear Film: Formal Field Solutions in Quadratures. Phys. Rev. B 1991, 44 (10), 5007–5012. doi: 10.1103/PhysRevB.44.5007
  • Schürmann H.W.; Serov V.S.; Shestopalov Yu.V. Reflection and Transmission of a Plane TE-wave At a Lossless Nonlinear Dielectric Film. Phys. D 2001, 158, 197–215. doi: 10.1016/S0167-2789(01)00310-4
  • Schürmann H.W.; Serov V.S.; Shestopalov Yu. V. Solutions to the Helmholtz Equation for TE-guided Waves in a Three-layer Structure with Kerr-type Nonlinearity. J. Phys. A: Math. Gen. 2002, 35 (20), 10789–10801. doi: 10.1088/0305-4470/35/50/309
  • Lederer F.; Langbein U.; Ponath H.-E. Nonlinear Waves Guided by a Dielectric Slab: I. TE-polarization. Appl. Phys. B 1983, 31 (2), 69–73. doi: 10.1007/BF00702600
  • Lederer F.; Langbein U.; Ponath H.-E. Nonlinear Waves Guided by a Dielectric Slab: II. TM-polarization. Appl. Phys. B 1983, 31 (3), 187–190. doi: 10.1007/BF00688841
  • Chen Q.; Wang Z.H. Exact Dispersion Relation for TM Waves Guided by Thin Dielectric Films Bounded by Nonlinear Media. Opt. Lett. 1993, 18 (4), 260–262. doi: 10.1364/OL.18.000260
  • Joseph R.I.; Christodoulides D.N. Exact Field Decomposition for TM Waves in Nonlinear Media. Opt. Lett. 1987, 12 (10), 826–828. doi: 10.1364/OL.12.000826
  • Smith P.W.; Tomlinson W.J.; Maloney P.J.; Hermann J.P. Experimental Studies of a Nonlinear Interface. IEEE J. Quant. Electron. 1981, 17 (3), 340–348. doi: 10.1109/JQE.1981.1071119
  • Chen Y.J.; Carter G.M. Measurement of Third Order Nonlinear Susceptibilities by Surface Plasmons. Appl. Phys. Lett. 1982, 41 (4), 307–309. doi: 10.1063/1.93516
  • Smirnov Y.G.; Smolkin E.; Kurseeva V. Diffraction of TE Polarized Electromagnetic Waves by a Layer with a Nonlinear Medium. Springer Proc. Math. Stat. 2018, 243, 39–53. doi: 10.1007/978-3-319-94060-1_4
  • Smolkin E.; Shestopalov Y.; Snegur M. Diffraction of TM Polarized Electromagnetic Waves by a Nonlinear Inhomogeneous Metal-Dielectric Waveguide. Proceedings of the 2017 19th International Conference on Electromagnetics in Advanced Applications, 2017; 1288–1291.
  • Kupriyanova S.N.; Smirnov Y.G. Propagation of Electromagnetic Waves in Cylindrical Dielectric Waveguides Filled with a Nonlinear Medium. Comput. Math. Math. Phys. 2004, 44 (10), 1762–1772.
  • Smirnov Y.; Schürmann H.W.; Shestopalov Y. Integral Equation Approach for the Propagation of TE-waves in a Nonlinear Dielectric Cylindrical Waveguide. J. Nonlinear Math. Phys. 2004, 11 (2), 256–268. doi: 10.2991/jnmp.2004.11.2.10
  • Schürmann H.W.; Smirnov Y.; Shestopalov Y. Propagation of TE Waves in Cylindrical Nonlinear Dielectric Waveguides. Phys. Rev. E – Stat., Nonlinear, Soft Matter Phys. 2005, 71 (7), 016614.
  • Smirnov Y.G.; Valovik D.V. Coupled Electromagnetic TE-TM Wave Propagation in a Layer with Kerr Nonlinearity. J. Math. Phys. 2012, 53 (12), 123530. doi: 10.1063/1.4769885
  • Smirnov Y.G.; Valovik D.V. Coupled Electromagnetic Transverse-electric-transverse Magnetic Wave Propagation in a Cylindrical Waveguide with Kerr Nonlinearity. J. Math. Phys. 2013, 54 (4), 043506. doi: 10.1063/1.4799276
  • Smirnov Y.G.; Valovik D.V. Problem of Nonlinear Coupled Electromagnetic TE-TE Wave Propagation. J. Math. Phys. 2013, 54 (8), 083502. doi: 10.1063/1.4817388
  • Angermann L.; Shestopalov Y.V.; Smirnov Y.G.; Yatsyk V.V. Nonlinear Multi-parameter Eigenvalue Problems for Systems of Nonlinear Ordinary Differential Equations Arising in Electromagnetics. Mathematisches Forschungsinstitut Oberwolfach gGmbH Oberwolfach Preprints 2014, 15, 1–10.
  • Angermann L.; Shestopalov Y.V.; Smirnov Y.G.; Yatsyk V.V. A Nonlinear Multiparameter EV Problem. Springer Proc. Math. Stat. 2018, 243, 55–70. doi: 10.1007/978-3-319-94060-1_5
  • Smirnov Y.G.; Valovik D.V. Nonlinear Coupled Wave Propagation in a N-dimensional Layer. Appl. Math. Comput. 2017, 294, 146–156.
  • Stretton J. A Electromagnetic Theory; McGraw Hill: New York, 1941.
  • Trenogin V.A. The Functional Analysis; Nauka: Moscow, 1980.
  • Adams M.J. An Introduction to Optical Waveguides; Wiley: New York, 1951.
  • Smirnov Y.; Smolkin E.; Kurseeva V. The New Type of Non-polarized Symmetric Electromagnetic Waves in Planar Nonlinear Waveguide. Appl. Anal. 2019, 98 (3), 483–498. doi: 10.1080/00036811.2017.1395865
  • Smolkin E. The Azimuthal Symmetric Hybrid Waves in Nonlinear Cylindrical Waveguide. Progress in Electromagnetics Research Symposium, 2017; 348–353.
  • Valovik D.V. Nonlinear Coupled Electromagnetic Wave Propagation: Saturable Nonlinearities. Wave Motion 2016, 60, 166–180. doi: 10.1016/j.wavemoti.2015.10.002
  • Smirnov Y.G.; Valovik D.V. Guided Electromagnetic Waves Propagating in a Plane Dielectric Waveguide with Nonlinear Permittivity. Phys. Rev. A 2015, 91 (1), 013840. doi: 10.1103/PhysRevA.91.013840

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