Abstract
In this article, we report research data on the propagation of coupled surface TE and leaky TM polarized electromagnetic waves in a Goubau line (an perfectly conducting cylinder covered with a concentric dielectric layer) filled with an inhomogeneous nonlinear medium. The problem is solved using the Green function method. The new regimes of surface TE and leaky TM polarized waves in the Goubu line has been found. The method is an efficient way to analyze coupled surface TE and leaky TM waves.
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REFERENCES
L.A. Vainstein, Electromagnetic Waves (Radio i Svyaz’, Moscow, 1988) [in Russian].
A. W. Snyder and J. D. Love, Optical Waveguide Theory (Springer, New York, 1983). https://doi.org/10.1007/978-1-4613-2813-1
M. J. Adams, An Introduction to Optical Waveguides (Wiley, New York, 1981).
Yu. Smirnov and E. Smolkin, Wave Motion 77, 77 (2018).
E. Smolkin and Yu. Shestopalov, J. Electromagn. Waves Appl. 31 (8), 781 (2017).
E. Smolkin and D. Valovik, Adv. Math. Phys. 2015, 614976 (2015).
Yu. Smirnov, E. Smolkin, and V. Kurseeva, Appl. Anal. 98 (3), 483 (2019).
E. Smolkin, “Goubau line filled with nonlinear medium: Numerical study of TM-polarized waves,” in Proc. 2015 Int. Conf. on Electromagnetics in Advanced Applications (ICEAA) (2015), p. 1.
E. Smolkin and D. Valovik, “Numerical solution of the problem of propagation of TM polarized electromagnetic waves in a nonlinear two-layered dielectric cylindrical waveguide,” in MMET’2012 Proc. (2012), p. 68.
E. Smolkin, “The azimuthal symmetric hybrid waves in nonlinear cylindrical waveguide,” in Progress in Electromagnetics Research Symp. PIERS 2017 Proc. (2017), p. 348.
Yu. Smirnov, E. Smolkin, and D. Valovik, Adv. Numer. Anal. 2014, 1 (2014).
E. Smolkin and D. Valovik, J. Commun. Technol. Electron 58 (8), 762 (2013).
E.Y. Smolkin, “On the problem of propagation of nonlinear coupled TE–TM waves in a double-layer nonlinear inhomogeneous cylindrical waveguide,” in Proc. Int. Conf. Days on Diffraction (St. Petersburg, 2015), p. 318.
H. W. Schürmann, Y. Smirnov, and Y. Shestopalov, Phys. Rev. E 71 (1), 016614 (2005).
Y. Smirnov, H. W. Schürmann, and Y. Shestopalov, J. Nonlinear Math. Phys. 11 (2), 256 (2004).
Yu. Smirnov and D. Valovik, Adv. Math. Phys. 2012, 609765 (2012).
Yu. Smirnov and D. Valovik, J. Math. Phys. 53 (12), 123530 (2012).
Yu. Smirnov and D. Valovik, J. Math. Phys. 54 (4), 043506 (2013).
Y. Smirnov and E. Smolkin, Appl. Anal. 100 (14), 3050 (2021).
Yu. G. Smirnov, E. Yu. Smol’kin, and M. O. Snegur, Comput. Math. Math. Phys. 61 (8), 1353 (2021). https://doi.org/10.1134/S0965542521080078
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This study was supported by the Russian Science Foundation, grant no. 20-11-20087.
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Translated by V. Isaakyan
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Smirnov, Y.G., Smolkin, E.Y. On the Existence of Nonlinear Coupled Surface TE and Leaky TM Electromagnetic Waves in a Circular Cylindrical Waveguide. Tech. Phys. 67, 543–548 (2022). https://doi.org/10.1134/S1063784222070106
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DOI: https://doi.org/10.1134/S1063784222070106