Abstract
We have studied the excitation of surface plasma waves during the propagation of a cylindrical electromagnetic wave in a layered plasma–dielectric medium. The dielectric—vacuum—plasma and vacuum–plasma–plasma layers have been considered. It is shown that no surface waves are excited by the cylindrical electromagnetic wave at the plasma–dielectric boundary (like in the case of a plane wave). A surface wave in a layered medium is excited in a quite narrow range of frequencies and angles of propagation. We have calculated the structures of the electromagnetic field and the electromagnetic energy flux and determined the integral reflection and transmission coefficients using both numerical an analytic asymptotic methods. It is shown that the contribution of the field from the lateral wave is negligibly small in all cases.
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Notes
We assume that \(\sqrt { - 1 \pm i0} \) = ±i.
The modulus of the first expression in (5) changes from |A| – |B| to |A| + |B|, i.e., is constant for B = 0 and can vanish for |A| = |B|.
In the vicinity of point ω = 0, kz = 0, the solution to Eq. (18) was not analyzed in detail.
REFERENCES
A. Sommerfeld, Math. Ann. 47, 317 (1896).
J. Zenneck, Ann. Phys. 328, 846 (1907).
A. Sommerfeld, Ann. Phys. 333, 665 (1909).
H. Weyl, Ann. Phys. 365, 481 (1919).
V. Fock, Ann. Phys. 409, 401 (1933).
B. van der Pol, Physica 2, 843 (1935).
F. Frank and R. Mizes, Differential and Integral Equations of Mathematical Physics (United Sci. Tech. Press, 1937), Part 2.
Yu. B. Bashkuev, V. B. Khaptanov, and M. G. Dembelov, Tech. Phys. Lett. 36, 136 (2010).
V. I. Baibakov, V. N. Datsko, and Yu. V. Kistovich, Sov. Phys. Usp. 32, 378 (1989).
V. N. Datsko and A. A. Kopylov, Phys. Usp. 51, 101 (2008).
A. V. Kukushkin, Phys. Usp. 52, 755 (2009).
A. V. Kukushkin, A. A. Rukhadze, and K. Z. Rukhadze, Phys. Usp. 55, 1124 (2012).
I. N. Kartashov and M. V. Kuzelev, Plasma Phys. Rep. 40, 650 (2014).
K. S. Bekhovskaya, I. L. Bogdankevich, P. S. Strelkov, V. P. Tarakanov, and D. K. Ul’yanov, Plasma Phys. Rep. 37, 1119 (2011).
P. S. Strelkov, I. E. Ivanov, and D. V. Shumeiko, Plasma Phys. Rep. 38, 488 (2012).
P. S. Strelkov, I. E. Ivanov, D. V. Shumeiko, and V. P. Tarakanov, Plasma Phys. Rep. 40, 640 (2014).
I. N. Kartashov, M. V. Kuzelev, P. S. Strelkov, and V. P. Tarakanov, Plasma Phys. Rep. 44, 289 (2018)].
M. V. Kuzelev, A. A. Rukhadze, and P. S. Strelkov, Plasma Relativistic Microwave Electronics (Lenand, Moscow, 2018) [in Russian].
M. V. Kuzelev and N. G. Orlikovskaya, J. Exp. Theor. Phys. 123, 1090 (2016).
I. N. Kartashov, M. V. Kuzelev, and A. A. Rukhadze, Plasma Phys. Rep. 30, 56 (2004).
I. N. Kartashov, M. V. Kuzelev, and A. A. Rukhadze, Plasma Phys. Rep. 35, 169 (2009).
A. F. Aleksandrov, V. M. Shibkov, and L. V. Shibkova, High Temp. 48, 611 (2010).
V. M. Shibkov, L. V. Shibkova, V. G. Gromov, A. A. Karachev, and R. S. Konstantinovskii, High Temp. 49, 155 (2011).
G. P. Kuzmin, I. M. Minaev, K. Z. Rukhadze, V. P. Tarakanov, and O. V. Tikhonevich, J. Comm. Technol. Electron. 57, 536 (2012).
N. N. Bogachev, I. L. Bogdankevich, N. G. Gusein-zade, and A. A. Rukhadze, Plasma Phys. Rep. 41, 792 (2015).
V. A. Es’kin, A. V. Ivoninsky, A. V. Kudrin, and L. L. Popova, J. Exp. Theor. Phys. 124, 202 (2017).
V. A. Es’kin, A. V. Ivoninsky, and A. V. Kudrin, Plasma Phys. Rep. 44, 245 (2018).
H. Raether, Surface Plasmons on Smooth and Rough Surface and on Gratings (Springer, Berlin, 1988).
V. V. Klimov, Nanoplasmonics (Fizmatlit, Moscow, 2009; Pan Stanford, Singapore, 2011).
S. A. Maier, Plasmonics: Fundamentals and Applications (RKhD, Moscow, Izhevsk, 2011; Springer, Berlin, Heidelberg, 2007).
M. V. Kuzelev, Plasma Phys. Rep. 44, 498 (2018).
A. F. Alexandrov, L. S. Bogdankevich, and A. A. Rukhadze, Principles of Plasma Electrodynamics (Springer, Heidelberg, 1984; Vyssh. Shkola, Moscow, 1988).
A. V. Nemykin, S. V. Perminov, L. L. Frumin, and D. A. Shapiro, Quantum Electron. 45, 240 (2015).
I. M. Akhmedzhanov, Quantum Electron. 42, 934 (2012).
S. A. Uryupin and A. A. Frolov, Quantum Electron. 43, 1132 (2013).
M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1968).
M. B. Vinogradova, O. V. Rudenko, and A. P. Sukhorukov, The Theory of Waves (Nauka, Moscow, 1979) [in Russian].
V. A. Il’in and E. G. Poznyak, Principles of Mathematical Analysis, Part 2 (Fizmatlit, Moscow, 2002) [in Russian].
M. V. Kuzelev, Wave Phenomena in Dispersive Media (Lenand, Moscow, 2017) [in Russian].
L. M. Brekhovskikh, Waves in Layered Media (Akad. Nauk SSSR, Moscow, 1957; Academic, New York, 1980).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 6: Fluid Mechanics (Nauka, Moscow, 1986; Pergamon, New York, 1987).
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Kartashov, I.N., Kuzelev, M.V. Excitation of Surface Waves during by an Inhomogeneous Electromagnetic Wave Incident on the Plasma Boundary. J. Exp. Theor. Phys. 129, 298–311 (2019). https://doi.org/10.1134/S106377611907015X
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DOI: https://doi.org/10.1134/S106377611907015X