https://orcid.org/0000-0001-9040-628X
References
- Goubau G. Surface waves and their application to transmission lines. J Appl Phys. 1950;21:1119–1128.
- Harms F. Elektromagnetische wellen an einem draht mit isolierender zylindrischer hülle. Ann Phys. 1907;6:44–60.
- Sommerfeld A. Über die Fortpflanzung elektrodynamischer Wellen langs eines Drahtes. Ann Phys. 1899;67:233–290.
- 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;11:9256–268.
- Schürmann HW, Smirnov YG, Shestopalov YV. Propagation of TE-waves in cylindrical nonlinear dielectric waveguides. Phys Rev E. 2005;71(1):1–10.
- Smolkin E, Shestopalov YV. Nonlinear Goubau line: analytical–numerical approaches and new propagation regimes. J Electromagn Waves Appl. 2017;31(8):781–797.
- Smirnov YG, Valovik DV. Electromagnetic wave propagation in nonlinear layered waveguide structures. Penza: Penza State Univ.; 2011.
- 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.
- Smirnov Y, Smolkin E. On the existence of non-polarized azimuthal-symmetric electromagnetic waves in circular dielectric waveguide filled with nonlinear isotropic homogeneous medium. Wave Motion. 2018;77:77–90.
- Smolkin E, Valovik DV. Coupled electromagnetic wave propagation in a cylindrical dielectric waveguide filled with Kerr medium: nonlinear effects. J Mod Opt. 2017;44(4):396–406.
- Stretton JA. Electromagnetic theory. New York: McGraw Hill; 1941.
- Eleonskii PN, Oganes'yants LG, Silin VP. Cylindrical nonlinear waveguides. Sov Phys Jetp. 1972;35:44–47.
- Snyder AW, Love J. Optical waveguide theory. London: Chapman and Hall; 1983.
- Abramowitz M, Stegun IA. Handbook of mathematical functions. Washington (DC): National Bureau of Standards; 1972.
- Naimark MA. Linear differential operators. New York: Ungar; 1967.
- Smirnov YG. Eigenvalue transmission problems describing the propagation of TE and TM waves in twolayered inhomogeneous anisotropic cylindrical and planar waveguides. Comput Math Math Phys. 2015;55(3):461–469.
- Smolkin E. The azimuthal symmetric hybrid waves in nonlinear cylindrical waveguide. In: Progress in Electromagnetics Research Symposium Proceedings; 2017. p. 1–6.
- Smolkin E. Goubau line filled with nonlinear medium: numerical study of TM-polarized waves. In: Proceedings of the 2015 International Conference on Electromagnetics in Advanced Applications, ICEAA 2015; 2015. p. 1–4.
- Smolkin E, Shestopalov YV. Nonlinear Goubau line: numerical study of TE-polarized waves. In: Progress In Electromagnetics Research Symposium Proceedings; 2015. p. 1–4.