References
- Balourdos PS, Frantzeskakis DJ, Tsilis MC, et al. Reflectivity of a nonlinear discontinuity in optical waveguides. Pure Appl Opt. 1998;7:1–11. doi: 10.1088/0963-9659/7/1/005
- Khardikov V, Mladyonov P, Prosvirnin S, et al. Electromagnetic wave diffraction by periodic planar metamaterials with nonlinear constituents. Springer Ser Opt Sci. 2016;199:81–98. doi: 10.1007/978-94-017-7315-7_5
- Mao H, Zang T, Sun J, et al. Nonlinear Goos–Hänchen shifts of reflected light from inhomogeneous Kerr-like slabs. Phys Lett A. 2013;377:1503–1506. doi: 10.1016/j.physleta.2013.04.008
- Schürmann HW, Schmoldt RZ. On the theory of reflectivity and transmissivity of a lossless nonlinear dielectric slab. Physik B. 1993;92:179–186. doi: 10.1007/BF01312174
- Trutschel U, Lederer F, Langbein U. Transmission and reflection of transverse-magnetic-polarized optical fields at stratified nonlinear media. Phys Rev B. 1989;40(12):8275–8283. doi: 10.1103/PhysRevB.40.8275
- Schürmann HW, Smirnov Y, Shestopalov Y. Propagation of TE waves in cylindrical nonlinear dielectric waveguides. Phys Rev E. 2005;71(1):016614 (10 p). doi: 10.1103/PhysRevE.71.016614
- Smirnov YG, Kupriyanova SN. Propagation of electromagnetic waves in cylindrical dielectric waveguides filled with a nonlinear medium. Comp Maths Math Phys. 2004;44(10):1850–1860.
- Smirnov YG, Schürmann HW, Shestopalov YV. 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
- Smirnov YG, Valovik DV. Guided electromagnetic waves propagating in a plane dielectric waveguide with nonlinear permittivity. Phys Rev A. 2015;91(1):013840 (6 p). doi: 10.1103/PhysRevA.91.013840
- Smirnov YG, Valovik DV. Nonlinear effects of electromagnetic TM wave propagation in anisotropic layer with Kerr nonlinearity. Adv Math Phys. 2012;609765 (21 p).
- Valovik DV, Smirnov YG. Calculation of the propagation constants of TM electromagnetic waves in a nonlinear layer. J Comm Tech Electron. 2008;53(8):934–940. doi: 10.1134/S1064226908080044
- Smirnov YG, Smolkin E, Kurseeva V. Diffraction of TE polarized electromagnetic waves by a layer with a nonlinear medium. In: Beilina L, Sminov Y, editors. Nonlinear and inverse problems in electromagnetics. PIERS 2017, PIERS 2017. Springer Proceedings in Mathematics & Statistics. Springer, Cham. 2018 243 (2018) 39–53.
- Eleonskii PN, Oganes'yants LG, Silin VP. Cylindrical nonlinear waveguides. Soviet Phys JETP. 1972;35:44–47.
- Akhmediev NN, Ankevich A. Solitons, nonlinear pulses and beams. London: Chapman and Hall; 1997.
- Trenogin VA. The functional analysis. Nauka (Moscow). 1980;381–382.
- Kurseeva VY, Valovik DV. Theory of nonlinear guided electromagnetic waves in a plane two-layered dielectric waveguide. Math Problems Eng. 2017;2017:4215685 (19 p). doi: 10.1155/2017/4215685
- Smolkin E, Shestopalov Y, Snegur M. Diffraction of TM polarized electromagnetic waves by a nonlinear inhomogeneous metal-dielectric waveguide. In: Proceedings of the 2017 19th international conference on electromagnetics in advanced applications. ICEAA 2017. 2017;8065508:1288–1291.