How to Cite
Shushkevich, G., Shushkevich, S., & Kuts, A. (2017). On the scattering of electromagnetic waves by bi-isotropic spherical shell. Advances in Mechanical and Materials Engineering, 34(295 (1), 111-122. https://doi.org/10.7862/rm.2017.09
Abstract
In this article an analytical solution of the problem of scattering of electromagnetic waves on bi-isotropic spherical shell has been presented. Secondary electromagnetic fields are introduced as a superposition of spherical vector wave functions. The solution of the boundary problem is reduced to solving a system of linear algebraic equations for the coefficients which are included in the presentation of the secondary fields. The formula to calculate the directional diagram of electric field in the far field and numerical results for different values of parameters have been obtained. The results may find practical application in the development and design of electromagnetic screens.
References
1. Lakhtakia A., Varadan V.K., Varadan V.V.: Time-harmonic electromagnetic fields in chiral media. Lecture Notes in Physics, Springer, 1989.
2. Cui Tie Jun, Smith D.R., Lui R.: Metamaterials. Theory, Design and Applications, Springer, 2009.
3. Vendik I. B. Vendik O. G.: Metamaterials and their application in microwaves: A review. Tech. Phys., 1 (2013), 1-24.
4. Lindell I.V., Sihvola A.H., Tretyakov S.A., Viitanen A.J.: Electromagnetic waves in chiral and bi-isotropic media. London, Artech House, 1994.
5. Ivanov O.V.: Electromagnetic wave propagation in anisotropic and bianisotropic layered structures, Ulyanovsk STU, 2010.
6. Behaviour of Electromagnetic Waves in Different Media and Structures. Ed. by A.Akdagli. InTech, 2011.
7. Neganov V.A., Osipov O.V.: Approximate boundary conditions for a thin chiral layer located on a perfectly conducting plane, J. commun. Tech. and electr.,
3 (2005), 270-275.
8. Sirenko Y, Velychko L.: Electromagnetic waves in complex systems. Selected Theoretical and applied problems, Springer, 2016.
9. Shorohova E.: Diffraction of electromagnetic waves on chiral bodies of rotation. Analytical approach. Saarbruchen, LAP LAMBERT Academic Publishing, 2013.
10. Solutions and Applications of Scattering, Propagation, Radiation and Emission of Electromagnetic Waves. Ed. A. Kishk. InTech, 2912.
11. Monakhov M., Shorohova E.: Radiant properties of antennas in composite media. Metamaterials and chiral media. Saarbruchen, LAP LAMBERT Academic Publishing, 2011.
12. Kapshai V.N., Kondratyuk V.V.: The scattering of electromagnetic waves by bi-isotropic ball in an isotropic medium, Prob. Phys., Math. Tech., 3(2010), 17-21.
13. Belichenko V.I., Fisanov V.V.: Scattering of electromagnetic waves by bi-isotropic sphere. News high schools. Physics, 10(1994), 108–112.
14. Erofeenko V.T., Malyi S.V.: Diffraction of a plane electromagnetic wave by a flat layer of bi-isotropic material. Vestnik BSU. Ser.1, 2(2010), 11-16.
15. Erofeenko V.T., Bondarenko V.F Numerical study of the interaction of electromagnetic fields, electric and magnetic dipoles with a composite screen. Izv. NAN Belar. Ser. Fiz.- mat. n., 4(2013), 113-120.
16. Neganov V.A., Osipov O.V.: Reflection of electromagnetic waves from the plane of chiral structures. Izv. Vuz. Radiofizika, 9(1999), 870-878.
17. Neganov V.A., Osipov O.V.: Features the reflection of electromagnetic waves from the planar chiral structures. Phys. wave proc. and radio systems, 1(1999), 5-11.
18. Neganov V.A., Osipov O.V.: Scattering of plane electromagnetic waves on chiral metal cylinder. Tech. Phys. Letters, 1(2000), 77-83.
19. Ivanov E. A.: Diffraction of electromagnetic waves on two bodies, Springfield, Washington 1970.
20. Shushkevich G.Ch., Kuts A.I.: Numerical investigation of scattering field of electrical dipole on the bi-isotropic ball, Informatika, 2 (2015), 46-54.
21. Erofeenko V.T.: Analytical modelling in the electrodynamics, CD LIBROKOM, Moscow 1989.
22. Handbook of Mathematical Functions: with Formulas, Graphs and Mathematical Tables. Eds. by M. Abramowitz and I. A. Stegun. Dover, New York, 1972.
23. Shushkevich G.Ch., Shushkevich S.V.: Computer technology in mathematics. The system Mathcad 14: in 2 parts. Grevsova, Minsk 2012.
24. Fausett L.V.: Numerical Methods Using MathCAD. Prentice Hall, New Jork 2002.
2. Cui Tie Jun, Smith D.R., Lui R.: Metamaterials. Theory, Design and Applications, Springer, 2009.
3. Vendik I. B. Vendik O. G.: Metamaterials and their application in microwaves: A review. Tech. Phys., 1 (2013), 1-24.
4. Lindell I.V., Sihvola A.H., Tretyakov S.A., Viitanen A.J.: Electromagnetic waves in chiral and bi-isotropic media. London, Artech House, 1994.
5. Ivanov O.V.: Electromagnetic wave propagation in anisotropic and bianisotropic layered structures, Ulyanovsk STU, 2010.
6. Behaviour of Electromagnetic Waves in Different Media and Structures. Ed. by A.Akdagli. InTech, 2011.
7. Neganov V.A., Osipov O.V.: Approximate boundary conditions for a thin chiral layer located on a perfectly conducting plane, J. commun. Tech. and electr.,
3 (2005), 270-275.
8. Sirenko Y, Velychko L.: Electromagnetic waves in complex systems. Selected Theoretical and applied problems, Springer, 2016.
9. Shorohova E.: Diffraction of electromagnetic waves on chiral bodies of rotation. Analytical approach. Saarbruchen, LAP LAMBERT Academic Publishing, 2013.
10. Solutions and Applications of Scattering, Propagation, Radiation and Emission of Electromagnetic Waves. Ed. A. Kishk. InTech, 2912.
11. Monakhov M., Shorohova E.: Radiant properties of antennas in composite media. Metamaterials and chiral media. Saarbruchen, LAP LAMBERT Academic Publishing, 2011.
12. Kapshai V.N., Kondratyuk V.V.: The scattering of electromagnetic waves by bi-isotropic ball in an isotropic medium, Prob. Phys., Math. Tech., 3(2010), 17-21.
13. Belichenko V.I., Fisanov V.V.: Scattering of electromagnetic waves by bi-isotropic sphere. News high schools. Physics, 10(1994), 108–112.
14. Erofeenko V.T., Malyi S.V.: Diffraction of a plane electromagnetic wave by a flat layer of bi-isotropic material. Vestnik BSU. Ser.1, 2(2010), 11-16.
15. Erofeenko V.T., Bondarenko V.F Numerical study of the interaction of electromagnetic fields, electric and magnetic dipoles with a composite screen. Izv. NAN Belar. Ser. Fiz.- mat. n., 4(2013), 113-120.
16. Neganov V.A., Osipov O.V.: Reflection of electromagnetic waves from the plane of chiral structures. Izv. Vuz. Radiofizika, 9(1999), 870-878.
17. Neganov V.A., Osipov O.V.: Features the reflection of electromagnetic waves from the planar chiral structures. Phys. wave proc. and radio systems, 1(1999), 5-11.
18. Neganov V.A., Osipov O.V.: Scattering of plane electromagnetic waves on chiral metal cylinder. Tech. Phys. Letters, 1(2000), 77-83.
19. Ivanov E. A.: Diffraction of electromagnetic waves on two bodies, Springfield, Washington 1970.
20. Shushkevich G.Ch., Kuts A.I.: Numerical investigation of scattering field of electrical dipole on the bi-isotropic ball, Informatika, 2 (2015), 46-54.
21. Erofeenko V.T.: Analytical modelling in the electrodynamics, CD LIBROKOM, Moscow 1989.
22. Handbook of Mathematical Functions: with Formulas, Graphs and Mathematical Tables. Eds. by M. Abramowitz and I. A. Stegun. Dover, New York, 1972.
23. Shushkevich G.Ch., Shushkevich S.V.: Computer technology in mathematics. The system Mathcad 14: in 2 parts. Grevsova, Minsk 2012.
24. Fausett L.V.: Numerical Methods Using MathCAD. Prentice Hall, New Jork 2002.