MODELS OF BASIC ELECTROMAGNETIC WAVES IN THE BI-ISOTROPIC MEDIUM WITH SPACE DISPERSION
Abstract
A mathematical models describing the propagation of monochromatic electromagnetic waves in the biisotropic medium with space dispersion is being developed. Modeling is based on the transformation of integro-differential equations for bi-isotropic medium to the differential equations electrodynamics, containing electrical and magnetic polarizations in operator form with differential Laplace operator. Within the developed model it is analytically constructed a full system of basic plane, spherical and cylindrical electromagnetic fields extending in the homogeneous bi-isotropic medium with space dispersion.
About the Author
V. T. Erofeenko
Establishment of BSU "Research Institute of Applied Mathematics and Informatics", Minsk
Belarus
Dr. Sc. (Physics and Mathematics), Professor, chief research associate of the Research Laboratory of Mathematical Methods of Information Security
Belarus
Dr. Sc. (Physics and Mathematics), Professor, chief research associate of the Research Laboratory of Mathematical Methods of Information Security
References
1. Gulyaev Yu. V., Lagarkov A. N., Nikitov S. A. Metamaterialy: fundamental'nye issledovanija i perspektivy primenenija [Metamaterials: fundamental research and prospects of application]. Vestnik RAN [Bulletin of the Russian Academy of Sciences], 2008, vol. 78, no. 5, pp. 438–457 (in Russian).
2. Cui T. J., Smith D. R., Lui R. Metamaterials. Theory, Design and Applications. Springer, 2009, 367 p.
3. Ivanov O. V. Rasprostranenie jelektromagnitnyh voln v anizotropnyh i bianizotropnyh sloistyh strukturah. Propagation of Electromagnetic Waves in Anisotropic and Bianisotropic Layered Structures. Ulyanovsk, UlSTU Publ., 2010, 262 p. (in Russian). 4. 4. Lindell I. V., Sihvola A. H., Viitanen A. J., Tretyakov S. A. Electromagnetic Waves in Chiral and Bi-isotropic Media. Boston, Artech Hause, 1994, 324 p.
4. Erofeenko V. T., Kozlovskaja I. S. Analiticheskoe modelirovanie v jelektrodinamike. Analytical Modeling in Electrodynamics. Moscow, Knizhnyi dom "Librocom" Publ., 2014, 304 p. (in Russian).
5. Neganov V. A., Osipov O. V. Otrazhajushhie, volnovedushhie i izluchajushhie struktury s kiral'nymi jelementami. Reflecting, Waveguiding and Radiating Structures with Chiral Elements. Moscow, Radio i svyaz Publ., 2006, 280 p. (in Russian).
6. Erofeenko V. T. Mnogokratnaja fokusirovka jelektromagnitnogo polja magnitnogo dipolja ploskoparallel'noj dvuhslojnoj linzoj iz metamateriala [Multiple focusing of the electromagnetic field of a magnetic dipole by a plane-parallel two-layer lens made of metamaterial]. Informatika [Informatics], 2016, no. 4(52), pp. 5–19 (in Russian).
7. Erofeenko V. T., Sinitsyn A. K. Preobrazovanie simmetrichnyh voln kruglogo volnovoda na bianizotropnogirotropnoj peregorodke [Transformation of symmetric waves of a circular waveguide on a bianisotropically gyrotropic partition]. Radiotekhnika i elektronika [Radio Engineering and Electronics], 2016, vol. 61, no. 11, pp. 1039–1048 (in Russian).
8. Erofeenko V. T., Demidchik V. I., Malyi S. V., Kornev R. V. Proniknovenie jelektromagnitnyh voln cherez kompozitnye jekrany, soderzhashhie ideal'no provodjashhie spirali [Penetration of electromagnetic waves]. Inzhenernofizicheskiy zhurnal [Journal of Engineering Physics and Thermophysics], 2011, vol. 84, no. 4, pp. 740–746 (in Russian).
9. Erofeenko V. T., Malyi S. V. Difrakcija ploskoj jelektromagnitnoj volny na ploskoslojnoj strukture iz biizotropnyh materialov [Diffraction of a plane electromagnetic wave on a plane-layer structure of bi-isotropic materials]. Informatika [Informatics], 2012, no. 1(33), pp. 58–65 (in Russian).
10. Erofeenko V. T., Bondarenko V. F. Jekranirovanie jelektromagnitnyh polej jekranami iz matrichnyh kompozitov, soderzhashhih biizotropnye chasticy [Screening of electromagnetic fields by screens from matrix composites containing bi-isotropic particles]. Informatika [Informatics], 2014, no. 3(43), pp. 28–43 (in Russian).
11. Erofeenko V. T. Kraevaja zadacha proniknovenija jelektromagnitnyh polej dipol'nyh istochnikov cherez biizotropnyj jekran [Boundary-value problem of penetration of electromagnetic fields of dipole sources through a bi-isotropic screen]. Vestnik BGU [Bulletin of the Belarusian State University. Ser. 1], 2012, no. 2, pp. 71–76 (in Russian).
12. Erofeenko V. T., Bondarenko V. F. Chislennoe issledovanie vzaimodejstvija jelektromagnitnyh polej jelektricheskogo i magnitnogo dipolej s kompozitnym jekranom [Numerical investigation of the interaction of electromagnetic fields of electric and magnetic dipoles with a composite screen]. Vestsi Natsyianal’nai akademii navuk Belarusi. Seryia fizika-tekhnichnykh navuk [Proceedings of the National Academy of Sciences of Belarus. Physics and Technical Series], 2013, no. 4, pp. 113–120 (in Russian).
13. Erofeenko V. T., Bondarenko V. F. Preobrazovanie puchkov jelektromagnitnyh voln pri prohozhdenii cherez jekran iz kiral'nogo metamateriala [Transformation of beams of electromagnetic waves when passing through a chiral metamaterial screen]. Informatika [Informatics], 2013, no. 1(37), pp. 5–17 (in Russian).
14. Erofeenko V. T., Bondarenko V. F. Vzaimodejstvie jeksponencial'no zatuhajushhih oscillirujushhih jelektromagnitnyh polej s mnogoslojnymi kompozitnymi jekranami [Interaction of exponentially damped oscillating electromagnetic fields with multilayered composite screens]. Vestnik BGU [Bulletin of the Belarusian State University. Ser. 1], 2014, no. 1, pp. 62–67 (In Russian).
15. Vinogradov A. P. Jelektrodinamika kompozitnyh materialov. Electrodynamics of Composite Materials. Moscow, Editorial URSS Publ., 2001, 208 p. (in Russian).
16. Agranovich V. M., Ginzburg V. L. Kristallooptika s uchetom prostranstvennoj dispersii i teorija jeksitonov. Crystal Optics with Allowance for Spatial Dispersion and the Theory of Excitons. Moscow, Nauka Publ., 1979, 432 p. (in Russian).
17. Silin R. A., Timoshina I. R. Obratnye volny i prostranstvennaja dispersija [Reverse waves and spatial dispersion]. Radiotekhnika i elektronika [Radio Engineering and Electronics], 2012, vol. 57, no. 7, pp. 725–733 (in Russian).
18. Erofeenko V. T. Modelirovanie rasprostranenija jelektromagnitnyh voln v sredah s prostranstvennoj dispersiej [Modeling the propagation of electromagnetic waves in media with spatial dispersion]. Informatika [Informatics], 2017, no. 3(55), pp. 5–12 (in Russian).
19. Vinogradov A. P. K voprosu o forme material'nyh uravnenij v jelektrodinamike [On the question of the form of material equations in electrodynamics]. Uspekhi fizicheskikh nauk [Advances in Physical Sciences], 2002, vol. 172, no. 3, pp. 363–370 (in Russian)
Review
For citations:
Erofeenko V.T. MODELS OF BASIC ELECTROMAGNETIC WAVES IN THE BI-ISOTROPIC MEDIUM WITH SPACE DISPERSION. Informatics. 2018;15(2):64-73. (In Russ.)
Views: 747
Email this article 