Propagation of low-frequency electromagnetic waves across a multilayer cylindrical shell

In the paper the results of the analysis of propagation of the low-frequency electromagnetic waves across the multilayer cylindrical shell are presented. The mathematical model of non-local bilateral boundary conditions of multilayer cylindrical shells was created. These non-local bilateral boundary conditions describe the penetration of low-frequency electromagnetic waves across layers of the shell. The method of transformation of the boundary problem to the integral Fredholm equations of the second kind was developed. Furthermore, the value of efficiency coefficient of the shell was calculated. Analytical transformations are based on the Bessel functions.

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1. Zou S.: Electromagnetic wave propagation in a multilayer silver particle. Chem. Phys. Lett., 454 (2008), 289-293.
2. Apollonski S.M., Kaliada T.V., Sindalovsky B.E.: A human safety in electromagnetic fields. Politechnika, Petersburg 2012.
3. Vetoshkin A.G.: Protecting the environment from energy impacts. Vyshaja shkola, Moscow 2010.
4. Surma S.V., Shchegolev B.F., Vasilieva O.V., Rubanova N.S., Tryrlin V.A.: Weak low-frequency magnetic fields in biology and medicine. Newsletter of the Federal Center of Heart, Blood and Endocrinology, 4(2011), 25-29.
5. Shapiro D.N.: Electromagnetic Screening. Izd. Dom Intellect, Dolgoprudny 2010.
6. Sadovnichiy D.N., Markov M.B., Voroncov A.S., Milehin U.M.: Diffraction of electromagnetic pulse on a dielectric cylinder of finite length gradient. J. Tech. Phys., 82(2012), 55-62.
7. Apollonski A.S., Erofeenko V.T.: Electromagnetic fields in the shielding shells. BSU, Minsk 1988.
8. Fufayeva L.I., Timofeyev A.B.: The shielding effectiveness of constant magnetic fields by multilayer screens. Works of MAI, 364(1976), 58-63.
9. Erofeenko V.T: Modeling of processes of penetration of low-frequency magnetic fields through multi-screens. Informatika, 31(2011), 22-32.
10. Novogorodcev A.B., Petrov V.M.: Pulsed magnetic field shielding double-layered cylindrical screen. Izv. Vuzov. Electromechanika, 5 (1976), 504-508.
11. Rezinkina M.M.: Parameters of thin electromagnetic shields that provide a decrease in magnetic induction. Tech. Phys., 59(2014), 155-161.
12. Erofeenko V.T., Shushkevich G.Ch., Grabchikov S.S., Bondarenko V.F.: Model shielding constant magnetic fields multilayer finite cylindrical screen. Informatika, 3(2012), 80-93.
13. Yashchuk V.V., Lee S.-K., Paperno E.: Magnetic shielding. [In:] D. Budker, D.F.J. Kimball (eds.): Optical magnetometry. Cambridge, London 2013.
14. Paperno E., Koide H., Sasada I.: A new estimation of the axial shielding factors for multishell cylindrical shields. J. Appl. Phys., 87(2000), 5959-5691.
15. Sumner T.J., Pendlebury J. M., Smith K.F.: Convectional magnetic shielding. J. Phys. D: Appl. Phys., 20(1987), 1095-1101.
16. Rikitake T.: Magnetic and electromagnetic shielding. TERRAPUB and D. Reidel Publ. Co., Tokyo, Dordrecht 1987.
17. Erofeenko V.T., Kozlovskaja I.S.: Analytical modelling in electrodynamics. BGU, Minsk 2010.
18. Ufliand Y.S.: The method of dual equations in mathematical physics. Nauka, Leningrad 1977.
19. Lebedev N.N., Scalskaya I.P.: Application of integral equations to the planar problem of electromagnetic waves on the thin conductive parallel plates. J. Tech Phys., 59 (1989), 3-12.
20. Shushkevich G.Ch.: Calculation of electrostatic fields by methods of dual, triple equations using addition theorems. GrGU, Grodno 1999.
21. Erofeenko V.T., Shushkevich G.Ch.: Screening of a low-frequency electric field by a multilayer circular disk. Tech. Phys., 58(2013), 886-871.
22. Erofeenko V.T., Shushkevich G.Ch.: Screening of low-frequency electric field of thin-walled open spherical shell with the reservoir properties. Electrichestvo, 6(2011), 57-61.
23. Erofeenko V.T., Kozlovskaya I.S., Shushkevich G.Ch.: Screening of a low frequency magnetic field by an open thin-walled spherical shell. Tech. Phys., 55(2010), 1240-1247.
24. Handbook of Mathematical Functions: with Formulas, Graphs and Mathematical  Tables. Eds. M. Abramowitz, I.A. Stegun, Dover, New York 1972.
25. Fausett L.V.: Numerical Methods Using MathCAD. Prentice Hall, New York 2002.